Relevant bibliographies by topics / Wannier function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Wannier function'

Author: Grafiati
Published: 4 June 2021
Last updated: 23 February 2023

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Journal articles on the topic "Wannier function"

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Panayotaros, Panayotis. "Discrete Nonlinear Schrödinger Systems for Periodic Media with Nonlocal Nonlinearity: The Case of Nematic Liquid Crystals." Applied Sciences 11, no. 10 (May 13, 2021): 4420. http://dx.doi.org/10.3390/app11104420.

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We study properties of an infinite system of discrete nonlinear Schrödinger equations that is equivalent to a coupled Schrödinger-elliptic differential equation with periodic coefficients. The differential equation was derived as a model for laser beam propagation in optical waveguide arrays in a nematic liquid crystal substrate and can be relevant to related systems with nonlocal nonlinearities. The infinite system is obtained by expanding the relevant physical quantities in a Wannier function basis associated to a periodic Schrödinger operator appearing in the problem. We show that the model can describe stable beams, and we estimate the optical power at different length scales. The main result of the paper is the Hamiltonian structure of the infinite system, assuming that the Wannier functions are real. We also give an explicit construction of real Wannier functions, and examine translation invariance properties of the linear part of the system in the Wannier basis.
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Karabulut, Hasan. "A Wannier function made from distributed Gaussians." Journal of Mathematical Physics 46, no. 7 (July 2005): 073504. http://dx.doi.org/10.1063/1.1946529.

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Albert, J. P., C. Jouanin, D. Cassagne, and D. Bertho. "Generalized Wannier function method for photonic crystals." Physical Review B 61, no. 7 (February 15, 2000): 4381–84. http://dx.doi.org/10.1103/physrevb.61.4381.

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Fitzhenry, P., M. M. M. Bilek, N. A. Marks, N. C. Cooper, and D. R. McKenzie. "Wannier function analysis of silicon carbon alloys." Journal of Physics: Condensed Matter 15, no. 2 (December 18, 2002): 165–73. http://dx.doi.org/10.1088/0953-8984/15/2/316.

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McCulloch, D. G., A. R. Merchant, N. A. Marks, N. C. Cooper, P. Fitzhenry, M. M. M. Bilek, and D. R. McKenzie. "Wannier function analysis of tetrahedral amorphous networks." Diamond and Related Materials 12, no. 10-11 (October 2003): 2026–31. http://dx.doi.org/10.1016/s0925-9635(03)00196-1.

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Wilkinson, M. "Generalized Wannier function and renormalization of Harper's equation." Journal of Physics A: Mathematical and General 27, no. 24 (December 21, 1994): 8123–48. http://dx.doi.org/10.1088/0305-4470/27/24/021.

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Mizel, A., and M. L. Cohen. "Wannier function analysis of InP nanocrystals under pressure." Solid State Communications 113, no. 4 (December 1999): 189–93. http://dx.doi.org/10.1016/s0038-1098(99)00466-4.

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Busch, Kurt, Sergei F. Mingaleev, Antonio Garcia-Martin, Matthias Schillinger, and Daniel Hermann. "The Wannier function approach to photonic crystal circuits." Journal of Physics: Condensed Matter 15, no. 30 (July 18, 2003): R1233—R1256. http://dx.doi.org/10.1088/0953-8984/15/30/201.

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NAKAMURA, Kazuma. "First-principles Calculations for Polarization and Wannier Function." Hyomen Kagaku 29, no. 7 (2008): 432–36. http://dx.doi.org/10.1380/jsssj.29.432.

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Bu, Xiangtian, and Shudong Wang. "Electron–phonon scattering and mean free paths in D-carbon." Physical Chemistry Chemical Physics 22, no. 7 (2020): 4010–14. http://dx.doi.org/10.1039/c9cp06504k.

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Dissertations / Theses on the topic "Wannier function"

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Stangel, Anders. "Wannier functions from Bloch orbitals in solids." Thesis, Uppsala universitet, Materialteori, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-202140.

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Wannierfunctions are a superposition of the Blochorbitals in a Brillouin zone belonging to a manifold of energy bands. These Wannier functions have several uses regarding the analysis of the crystal on a local level. Since the Bloch orbital has a gauge indeterminacy and the Wannier functions therefore is strongly non-unique, the natural choice is the maximally localized Wannier funcition. These can be calculated from the standard Bloch orbital using unitary transformation by a steepest descent algorithm as proposed by Nicola Marzari and David Vanderbilt. Here the argument for this algorithm is discussed and explained.
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Nacbar, Denis Rafael [UNESP]. "Cálculo de funções de Wannier eletrônicas para aplicações em ciência dos materiais." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/88467.

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São calculadas e analisadas as funções de Wannier de localização máxima para elétrons em cristais unidimensionais. Essas funções formam uma base apropriada para descrever estados eletrônicos em materiais sólidos. Para cristais com simetria de inversão é utilizado o método desenvolvido por Bruno-Alfonso e Hai [J. Phys: Condensed Matter 15, 6701 (2003)]. Cada banda de energia é classificada segundo a simetria das funções de Bloch nos pontos 'gama' e 'qui' da zona de Brillouin. Para cada classe de banda a fase das funções de Bloch é escolhida para que as funções de Wannier tenham localização máxima. A simetria da últimas é determinda pelo tipo de banda. São apresentados resultados analíticos e numéricos para o modelo de Kronig-Penney obtidos através da técnica da matriz de transferência e do método tight binding. Posteriormente, apresenta-se um novo procedimento para calcular funções de Wannier de localização máxima em cristais sem simetria de inversão. Para isso são utilizadas técnicas do Cálculo Variacional. A teoria é aplicada para obter e analisar funções de Wannier de elétrons de condução em duas superredes de materiais semicondutores. Uma dessas estruturas tem simetria de inversão e a outra, não. O comportamento assintótico das funções de Wannier é predito analiticamente e verificado através dos cálculos numéricos. As funções de Wannier de localização máxima mostram um decaimento exponencial multiplicado por um decaimento em lei de potência, ambos isotrópicos. O mesmo acontece com parte das funções que não tem localização máxima. Porém, há outras que que apresentam decaimento exponecial reduzido e anisotropia em seu decaimento em lei de potência. Esses resultados novos são explicados levando em conta pontos de ramificação da continuação analítica das funções de Bloch sobre o plano de vetor de onda complexo.
The maximally localized Wannier functions of electrons in one-dimensional crystals are calculated and analyzed. Those functions form a suitable basis to describe localized states in solid materials. For crystals with inversion symmetry we use the procedure of Bruno-Alfonso and Hai [J. Phys: Condensed Matter 15, 6701 (2003)]. Each energy band is classified according to the symmetry of the Bloch functions at the points 'gama' e 'qui' of the Brillouin zone. For each band class, the phase of the Bloch functions in chosen to give the maximally localized Wannier functions. The symmmetry of those functions depends on the band class. Analytical and numerical results are presented for the Kronig-Penney model. Those result are obtained through the tight-binding method or a transfer-matrix technique. A new procedure to calculate the maximally localized Wannier functions in crystals without inversion symmetry is established. This involves techniques of the Variational Calculus. The theory is applied to obtain the Wannier functions of conduction electrons in superlattices of semiconductor materials. One of the superlattices presents inversion symmetry, but the other does not. The asymptotic behavior of the Wannier functions is predicted analytically and verified through numerical calculations. The maximally localized Wannier functions display an isotropic exponetial decal times an isotropic power-law decay. The same applies to a class of non-optimal Wannier functions. However, there is another class of non-optimal Wannier functions with reduced exponential decay and anisotropic power-law decay. Such new results are explained by taking into account branch points in the analytical continuation of the Bloch functions into the plane of complex wave vector.
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Nacbar, Denis Rafael. "Cálculo de funções de Wannier eletrônicas para aplicações em ciência dos materiais /." Bauru : [s.n.], 2007. http://hdl.handle.net/11449/88467.

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Orientador: Alexys Bruno Alfonso
Banca: Guo-Qiang Hai
Banca: Aguinaldo Robinson de Souza
O Programa de Pós-Graduação em Ciência e Tecnologia de Materiais, PosMat, tem caráter institucional e integra as atividades de pesquisa em materiais de diversos campi da Unesp
Resumo: São calculadas e analisadas as funções de Wannier de localização máxima para elétrons em cristais unidimensionais. Essas funções formam uma base apropriada para descrever estados eletrônicos em materiais sólidos. Para cristais com simetria de inversão é utilizado o método desenvolvido por Bruno-Alfonso e Hai [J. Phys: Condensed Matter 15, 6701 (2003)]. Cada banda de energia é classificada segundo a simetria das funções de Bloch nos pontos 'gama' e 'qui' da zona de Brillouin. Para cada classe de banda a fase das funções de Bloch é escolhida para que as funções de Wannier tenham localização máxima. A simetria da últimas é determinda pelo tipo de banda. São apresentados resultados analíticos e numéricos para o modelo de Kronig-Penney obtidos através da técnica da matriz de transferência e do método tight binding. Posteriormente, apresenta-se um novo procedimento para calcular funções de Wannier de localização máxima em cristais sem simetria de inversão. Para isso são utilizadas técnicas do Cálculo Variacional. A teoria é aplicada para obter e analisar funções de Wannier de elétrons de condução em duas superredes de materiais semicondutores. Uma dessas estruturas tem simetria de inversão e a outra, não. O comportamento assintótico das funções de Wannier é predito analiticamente e verificado através dos cálculos numéricos. As funções de Wannier de localização máxima mostram um decaimento exponencial multiplicado por um decaimento em lei de potência, ambos isotrópicos. O mesmo acontece com parte das funções que não tem localização máxima. Porém, há outras que que apresentam decaimento exponecial reduzido e anisotropia em seu decaimento em lei de potência. Esses resultados novos são explicados levando em conta pontos de ramificação da continuação analítica das funções de Bloch sobre o plano de vetor de onda complexo.
Abstract: The maximally localized Wannier functions of electrons in one-dimensional crystals are calculated and analyzed. Those functions form a suitable basis to describe localized states in solid materials. For crystals with inversion symmetry we use the procedure of Bruno-Alfonso and Hai [J. Phys: Condensed Matter 15, 6701 (2003)]. Each energy band is classified according to the symmetry of the Bloch functions at the points 'gama' e 'qui' of the Brillouin zone. For each band class, the phase of the Bloch functions in chosen to give the maximally localized Wannier functions. The symmmetry of those functions depends on the band class. Analytical and numerical results are presented for the Kronig-Penney model. Those result are obtained through the tight-binding method or a transfer-matrix technique. A new procedure to calculate the maximally localized Wannier functions in crystals without inversion symmetry is established. This involves techniques of the Variational Calculus. The theory is applied to obtain the Wannier functions of conduction electrons in superlattices of semiconductor materials. One of the superlattices presents inversion symmetry, but the other does not. The asymptotic behavior of the Wannier functions is predicted analytically and verified through numerical calculations. The maximally localized Wannier functions display an isotropic exponetial decal times an isotropic power-law decay. The same applies to a class of non-optimal Wannier functions. However, there is another class of non-optimal Wannier functions with reduced exponential decay and anisotropic power-law decay. Such new results are explained by taking into account branch points in the analytical continuation of the Bloch functions into the plane of complex wave vector.
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Eichelhardt, Frank. "Wannier-Function based Scattering-Matrix Formalism for Photonic Crystal Circuitry." [S.l. : s.n.], 2009. http://digbib.ubka.uni-karlsruhe.de/volltexte/1000010434.

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Hermann, Daniel. "Wannier-Function based Scattering-Matrix Formalism for Photonic Crystal Circuitry." [S.l. : s.n.], 2008. http://digbib.ubka.uni-karlsruhe.de/volltexte/1000009666.

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Sivadas, Nikhil. "First-Principles and Wannier-Function-Based Study of Two-Dimensional Electronic Systems." Research Showcase @ CMU, 2016. http://repository.cmu.edu/dissertations/990.

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One of the goals in making better devices is to achieve the desired functionality in materials that enable a given application. The strong link between the functional behavior and the physical properties of materials is key to making better devices. This thesis focuses on applications of density functional theory (DFT), a powerful computational tool, for understanding the electronic, magnetic, magneto-optic, topological and thermodynamic properties of two-dimensional electronic systems (2DES). Why are 2DES interesting? Firstly, the reduced dimensionality renders these materials with properties which could be absent in the bulk form. Secondly, from a technological point of view, the desired functionality can be easily controlled externally in these 2DES by the application of a gate voltage or strain. The 2DES considered here could be crucial in beyond-CMOS electronic technologies. The materials considered in this thesis can be broadly categorized into two different classes of systems. The first one is the two-dimensional electron gas observed at the complex oxide interfaces. The discussion will go into the details of the formation of 2DEG in oxides resulting both from polar catastrophe and also due to the presence of vacancies. The second class of materials is two-dimensional (2D) atomic crystals, more specifically, 2D magnets. We not only predict a class of compounds, transition metal trichalcogenides (TMTC), that can exhibit magnetism in the 2D limit, but also demonstrate control of these magnetic degrees of freedom. Finally, we also demonstrate both using symmetry based tight-binding models and first-principles calculations a new way to detect magnetism in the 2D limit, which is applicable to compounds other than TMTC as well.
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Hardrat, Björn [Verfasser]. "Ballistic transport in one-dimensional magnetic nanojunctions: A first-principles Wannier function approach / Björn Hardrat." Kiel : Universitätsbibliothek Kiel, 2012. http://d-nb.info/1028798954/34.

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Merchant, Alexander Raymond. "An investigation of carbon nitride." Thesis, The University of Sydney, 2001. http://hdl.handle.net/2123/832.

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This thesis employs experimental and theoretical methods to characterise carbon nitride solids and proposes a generalstructural model for amorphous carbon nitride (a-C:N). It finds that a-C:N deposited by several methods is essentially identical, with similar bonding environments for carbon and nitrogen atoms. Using evidence from several techniques, the saturation of nitrogen in an sp2 carbon matrix is discussed. The experimental studies on a range of carbon nitride solids show no evidence for a crystalline form of carbon nitride. In addition to the experimental characterisation of a-C:N, ab initio molecular dynamics were used to investigate bonding and structure in carbon nitride. These simulations show that the most common form of nitrogen bonding was three-fold sites with a lone pair of electrons. Two-fold nitrogen sites were also found in agreement with experimental findings. An increase of nitrogen in a-C:N decreases the sp3-carbon fraction, but this is not localised on the nitrogen and the effect is most severe at high densities. A simulation of a low density/high nitrogen content network shows that the nitrogen saturation seen experimentally may be due to the formation of N2 dimers and C-N molecules which are easily driven out of the structure. The ab initio simulations also explore the nature of charged nitrogen and carbon sites in a-C:N. An analysis based on Wannier Function centres provided further information about the bonding and allowed for a detailed classification of these sites. The removal of electrons from the networks caused structural changes that could explain the two-state conductivity in ta-C:N memory devices. Finally, a theoretical study of the electron energy-loss near-edge structure (ELNES) calculated using multiple scattering theory is presented. The calculated ELNES of diamond, graphite and boron, silicon and carbon nitride structures compare well to experiment and supports the experimental finding that no crystalline carbon nitride had (or has) been produced. These ELNES calculations will however, provide a means of identifying crystalline beta-C3N4 should it be synthesised.
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Merchant, Alexander Raymond. "An investigation of carbon nitride." University of Sydney. Physics, 2001. http://hdl.handle.net/2123/832.

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This thesis employs experimental and theoretical methods to characterise carbon nitride solids and proposes a generalstructural model for amorphous carbon nitride (a-C:N). It finds that a-C:N deposited by several methods is essentially identical, with similar bonding environments for carbon and nitrogen atoms. Using evidence from several techniques, the saturation of nitrogen in an sp2 carbon matrix is discussed. The experimental studies on a range of carbon nitride solids show no evidence for a crystalline form of carbon nitride. In addition to the experimental characterisation of a-C:N, ab initio molecular dynamics were used to investigate bonding and structure in carbon nitride. These simulations show that the most common form of nitrogen bonding was three-fold sites with a lone pair of electrons. Two-fold nitrogen sites were also found in agreement with experimental findings. An increase of nitrogen in a-C:N decreases the sp3-carbon fraction, but this is not localised on the nitrogen and the effect is most severe at high densities. A simulation of a low density/high nitrogen content network shows that the nitrogen saturation seen experimentally may be due to the formation of N2 dimers and C-N molecules which are easily driven out of the structure. The ab initio simulations also explore the nature of charged nitrogen and carbon sites in a-C:N. An analysis based on Wannier Function centres provided further information about the bonding and allowed for a detailed classification of these sites. The removal of electrons from the networks caused structural changes that could explain the two-state conductivity in ta-C:N memory devices. Finally, a theoretical study of the electron energy-loss near-edge structure (ELNES) calculated using multiple scattering theory is presented. The calculated ELNES of diamond, graphite and boron, silicon and carbon nitride structures compare well to experiment and supports the experimental finding that no crystalline carbon nitride had (or has) been produced. These ELNES calculations will however, provide a means of identifying crystalline beta-C3N4 should it be synthesised.
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Bernasconi, Leonardo. "Interpretation of the electronic structure in condensed phase calculatioons." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249511.

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Books on the topic "Wannier function"

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Thygesen, K. S., and A. Rubio. Correlated electron transport in molecular junctions. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533046.013.23.

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This article focuses on correlated electron transport in molecular junctions. More specifically, it considers how electronic correlation effects can be included in transport calculations using many-body perturbation theory within the Keldysh non-equilibrium Green’s function formalism. The article uses the GW self-energy method (G denotes the Green’s function and W is the screened interaction) which has been successfully applied to describe quasi-particle excitations in periodic solids. It begins by formulating the quantum-transport problem and introducing the non-equilibrium Green’s function formalism. It then derives an expression for the current within the NEGF formalism that holds for interactions in the central region. It also combines the GW scheme with a Wannier function basis set to study electron transport through two prototypical junctions: a benzene molecule coupled to featureless leads and a hydrogen molecule between two semi-infinite platinum chains. The results are analyzed using a generic two-level model of a molecular junction.
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Elbe, Martin, ed. Die Gesundheit des Militärs. Nomos Verlagsgesellschaft mbH & Co. KG, 2020. http://dx.doi.org/10.5771/9783748907459.

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The health of the military is of central importance both from an internal perspective as well as in terms of a state’s response capacities. This anthology looks at these issues in five chapters: Starting from the basics of health in the military (saluto genesis, differential health promotion, the instrumentality of military medicine), the various contributions it contains deal with the daily challenges of staying healthy in the military (the function and expectations of the members of the organisation, concepts to ensure one’s health, food in the military, inclusivity and aspects of sexual harassment). Health during missions is particularly important (the preservation of mental health, palliative medical care, rehabilitation after a mission). The book also looks at the INVICTUS Games and, in the end, explores questions relating to healthy leadership by examining problem-solving concepts in sports, referring to an empirical study and comparing leadership practices and health in business and the military. With contributions by Maria Augstein, Martin Elbe, Erwin Hoffmann, Gilava Hamuni, Wolfgang Kaiser, Axel Olaf Kern, Mara Kotlow, Gerhard Kümmel, Christian Lusch, Gregor Richter, Jörg Ruff, Stefan Sammito, Sebastian Schiel, Rainer Schubmann, Yvonne Scherrer, Ralf Vollmuth, Meike Wanner
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Book chapters on the topic "Wannier function"

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Hamaguchi, Chihiro. "Wannier Function and Effective Mass Approximation." In Basic Semiconductor Physics, 73–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03303-2_3.

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Hamaguchi, Chihiro. "Wannier Function and Effective Mass Approximation." In Basic Semiconductor Physics, 65–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04656-2_3.

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Hamaguchi, Chihiro. "Wannier Function and Effective Mass Approximation." In Graduate Texts in Physics, 125–51. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66860-4_3.

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Albert, J. P., C. Jouanin, D. Cassagne, and D. Monge. "Tight-Binding Wannier Function Method for Photonic Band Gap Materials." In Photonic Crystals and Light Localization in the 21st Century, 545–53. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0738-2_39.

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Eschrig, Helmut. "Wannier Functions." In Optimized LCAO Method and the Electronic Structure of Extended Systems, 73–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-02562-8_4.

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Kohn, Walter. "Density Functional Theory and Generalized Wannier Functions." In Condensed Matter Theories, 13–16. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-2934-7_2.

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Ambrosetti, Alberto, and Pier Luigi Silvestrelli. "Introduction to Maximally Localized Wannier Functions." In Reviews in Computational Chemistry, 327–68. Hoboken, NJ: John Wiley & Sons, Inc, 2016. http://dx.doi.org/10.1002/9781119148739.ch6.

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Pisante, Adriano. "Maximally localized Wannier functions: existence and exponential localization." In Geometric Partial Differential Equations proceedings, 227–50. Pisa: Scuola Normale Superiore, 2013. http://dx.doi.org/10.1007/978-88-7642-473-1_12.

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O’Regan, David Daniel. "Projector Self-Consistent DFT+U Using Nonorthogonal Generalised Wannier Functions." In Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems, 65–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23238-1_3.

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Frempong-Mireku, P., and K. J. K. Moriarty. "Kramers and Wannier V-Matrices for the Partition Functions of the Ising Model." In Maple V: Mathematics and its Applications, 97–104. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0263-9_12.

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Conference papers on the topic "Wannier function"

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Mack, P., K. Busch, and Dmitry N. Chigrin. "Additional Basis Functions for the Photonic Wannier Function Method." In THEORETICAL AND COMPUTATIONAL NANOPHOTONICS (TACONA-PHOTONICS 2009): Proceedings of the 2nd International Workshop. AIP, 2009. http://dx.doi.org/10.1063/1.3253885.

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Leung, K. M. "Localized defects in photonic crystals: a Green’s function formalism." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.tuz26.

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Recent experimental and theoretical studies have shown that, by introducing defects into a photonic crystal, defect states can exist within the forbidden photonic band gap.1 The defect structure of interest occupies only a small volume within a unit cell, and the fields associated with the defect extend no more than a few lattice constants. Theoretical calculations were carried out by using the hypercell method. Here an alternate approach for treating highly localized defect states by introducing vector Wannier functions and using a Green's function is reported. The reason for the use of vector Wannier functions is that they are expected to be highly localized around each atomic site and therefore form ideal basis functions. The eigen problem for the defect state frequency and fields turns out formally to have exactly the same form as that of the corresponding electronic problem.
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Sihi, Antik, Sohan Lal, and Sudhir K. Pandey. "Studying the hopping parameters of half-Heusler NaAuS using maximally localized Wannier function." In DAE SOLID STATE PHYSICS SYMPOSIUM 2017. Author(s), 2018. http://dx.doi.org/10.1063/1.5028934.

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Wolff, Christian, Kurt Busch, and Dmitry N. Chigrin. "Generation of 3D Wannier Functions." In THEORETICAL AND COMPUTATIONAL NANOPHOTONICS (TACONA-PHOTONICS 2009): Proceedings of the 2nd International Workshop. AIP, 2009. http://dx.doi.org/10.1063/1.3253901.

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Hazeghi, Aryan, and Sina Khorasani. "Wannier functions for surface plasmon polaritons." In SPIE OPTO, edited by Ali Adibi, Shawn-Yu Lin, and Axel Scherer. SPIE, 2011. http://dx.doi.org/10.1117/12.872175.

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Muradoglu, M. S., and Alireza R. Baghai-Wadji. "Construction of Wannier functions in phononic structures." In Smart Materials, Nano-and Micro-Smart Systems, edited by Jung-Chih Chiao, Alex J. Hariz, David V. Thiel, and Changyi Yang. SPIE, 2008. http://dx.doi.org/10.1117/12.814452.

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Muradoglu, M. S., and A. R. Baghai-Wadji. "On the anatomy of Wannier functions in photonic structures." In 2008 4th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS). IEEE, 2008. http://dx.doi.org/10.1109/uwbus.2008.4669348.

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Marzari, Nicola, and David Vanderbilt. "Maximally-localized Wannier functions in perovskites: Cubic BaTiO[sub 3]." In The 5th Williamsburg workshop on first-principles calculations for ferroelectrics. AIP, 1998. http://dx.doi.org/10.1063/1.56269.

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Baghai-Wadji, Alireza, and Andrew Smith. "On the Customized Construction of Periodic Basis Functions: Towards Designing Maximally-locallized Wannier Functions." In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/USNC-URSI). IEEE, 2022. http://dx.doi.org/10.1109/ap-s/usnc-ursi47032.2022.9886864.

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Macek, J. H. "Wave functions for double electron escape and Wannier-type threshold laws." In The fourteenth international conference on the application of accelerators in research and industry. AIP, 1997. http://dx.doi.org/10.1063/1.52393.

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