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Gotowa bibliografia na temat „Aubry-André-Harper model”

Autor: Grafiati

Data publikacji: 6 września 2023

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Artykuły w czasopismach na temat "Aubry-André-Harper model"

1

Chen, Chao, Lu Qi, Yan Xing, Wen-Xue Cui, Shou Zhang, and Hong-Fu Wang. "General bounded corner states in two-dimensional off-diagonal Aubry–André–Harper model with flat bands." New Journal of Physics 23, no. 12 (2021): 123008. http://dx.doi.org/10.1088/1367-2630/ac38cc.

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Abstract We investigate the general bounded corner states in a two-dimensional off-diagonal Aubry–André–Harper square lattice model supporting flat bands. We show that for certain values of the nearest-neighbor hopping amplitudes, triply degenerate zero-energy flat bands emerge in this lattice system. Moreover, the two-dimensional off-diagonal Aubry–André–Harper model splits into isolated fragments and hosts some general bounded corner states, and the absence of the energy gap results in that these general bounded corner states are susceptible to disorder. By adding intracellular next-nearest-neighbor hoppings, two flat bands with opposite energies split off from the original triply degenerate zero-energy flat bands and some robust general bounded corner states appear in real-space energy spectrum. Our work shows a way to obtain robust general bounded corner states in the two-dimensional off-diagonal Aubry–André–Harper model by the intracellular next-nearest-neighbor hoppings.

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2

Li, Yi, Jia-Hui Zhang, Feng Mei, Jie Ma, Liantuan Xiao, and Suotang Jia. "Generalized Aubry–André–Harper Models in Optical Superlattices." Chinese Physics Letters 39, no. 6 (2022): 063701. http://dx.doi.org/10.1088/0256-307x/39/6/063701.

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Ultracold atoms trapped in optical superlattices provide a simple platform for realizing the seminal Aubry–André–Harper (AAH) model. However, this model ignores the periodic modulations on the nearest-neighbor hoppings. We establish a generalized AAH model by which an optical superlattice system can be approximately described when V 1 ≫ V 2, with periodic modulations on both on-site energies and nearest-neighbor hoppings. This model supports much richer topological properties absent in the standard AAH model. Specifically, by calculating the Chern numbers and topological edge states, we show that the generalized AAH model possesses multifarious topological phases and topological phase transitions, unlike the standard AAH model supporting only a single topological phase. Our findings can uncover more opportunities for using optical superlattices to study topological and localization physics.

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3

Zeng, Qi-Bo, Shu Chen, and Rong Lü. "Quench dynamics in the Aubry–André–Harper model with p-wave superconductivity." New Journal of Physics 20, no. 5 (2018): 053012. http://dx.doi.org/10.1088/1367-2630/aabe39.

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4

Sarkar, Manik, Santanu K. Maiti, and Moumita Dey. "Localization phenomena and electronic transport in irradiated Aubry–André–Harper systems." Journal of Physics: Condensed Matter 34, no. 19 (2022): 195303. http://dx.doi.org/10.1088/1361-648x/ac53db.

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Abstract The role of light irradiation on electronic localization is critically investigated for the first time in a tight-binding lattice where site energies are modulated in the cosine form following the Aubry–André–Harper (AAH) model. The critical point of transition from delocalized-to-localized phase can be monitored selectively by regulating the light parameters that is extremely useful to have controlled electron transmission across the system. Starting with a strictly one-dimensional (1D) AAH chain, we extend our analysis considering a two-stranded ladder model which brings peculiar signatures in presence of irradiation. Unlike 1D system, AAH ladder exhibits a mixed phase (MP) zone where both extended and localized energy eigenstates co-exist. This is the fundamental requirement to have mobility edge in energy band spectrum. A mathematical description is given for decoupling the irradiated ladder into two effective 1D AAH chains. The underlying mechanism of getting a MP zone relies on the availability of two distinct critical points (CPs) of the decoupled chains, in presence of second-neighbor hopping between the two strands. Using a minimal coupling scheme the effect of light irradiation is incorporated following the Floquet–Bloch ansatz. The localization behaviors of different energy eigenstates are studied by calculating inverse participation ratio, and, are further explained in a more compact way by calculating two-terminal transmission probabilities together with average density of states. Finally, the decoupling procedure is extended for a more general multi-stranded AAH ladders where multiple CPs and thus multiple mobility edges are found. Our analysis may provide a new route of engineering localization properties in similar kind of other fascinating quasiperiodic systems.

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5

Zhao, X. L., Z. C. Shi, C. S. Yu, and X. X. Yi. "Influence of localization transition on dynamical properties for an extended Aubry–André–Harper model." Journal of Physics B: Atomic, Molecular and Optical Physics 50, no. 23 (2017): 235503. http://dx.doi.org/10.1088/1361-6455/aa92df.

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6

Roy, Nilanjan, and Auditya Sharma. "Entanglement entropy and out-of-time-order correlator in the long-range Aubry–André–Harper model." Journal of Physics: Condensed Matter 33, no. 33 (2021): 334001. http://dx.doi.org/10.1088/1361-648x/ac06e9.

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7

Cao, Ji, Yan Xing, Lu Qi, et al. "Simulating and studying the topological properties of generalized commensurate Aubry–André–Harper model with microresonator array." Laser Physics Letters 15, no. 1 (2017): 015211. http://dx.doi.org/10.1088/1612-202x/aa9831.

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8

Li, Yu-Zeng, Fei-Fei Liu, Zheng-Fang Liu, Qing-Ping Wu, and Xian-Bo Xiao. "Lattice even–odd effect controlled zero-energy corner states in commensurate off-diagonal Aubry–André–Harper model." Physica E: Low-dimensional Systems and Nanostructures 141 (July 2022): 115218. http://dx.doi.org/10.1016/j.physe.2022.115218.

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9

Cui, H. T., M. Qin, L. Tang, H. Z. Shen, and X. X. Yi. "Open dynamics in the Aubry-André-Harper model coupled to a finite bath: The influence of localization in the system and dimensionality of bath." Physics Letters A 421 (January 2022): 127778. http://dx.doi.org/10.1016/j.physleta.2021.127778.

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10

Koley, Arpita, Santanu K. Maiti, Laura M. Pérez, Judith Helena Ojeda Silva, and David Laroze. "Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer." Micromachines 12, no. 9 (2021): 1021. http://dx.doi.org/10.3390/mi12091021.

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In this work, we perform a numerical study of magnetoresistance in a one-dimensional quantum heterostructure, where the change in electrical resistance is measured between parallel and antiparallel configurations of magnetic layers. This layered structure also incorporates a non-magnetic spacer, subjected to quasi-periodic potentials, which is centrally clamped between two ferromagnetic layers. The efficiency of the magnetoresistance is further tuned by injecting unpolarized light on top of the two sided magnetic layers. Modulating the characteristic properties of different layers, the value of magnetoresistance can be enhanced significantly. The site energies of the spacer is modified through the well-known Aubry–André and Harper (AAH) potential, and the hopping parameter of magnetic layers is renormalized due to light irradiation. We describe the Hamiltonian of the layered structure within a tight-binding (TB) framework and investigate the transport properties through this nanojunction following Green’s function formalism. The Floquet–Bloch (FB) anstaz within the minimal coupling scheme is introduced to incorporate the effect of light irradiation in TB Hamiltonian. Several interesting features of magnetotransport properties are represented considering the interplay between cosine modulated site energies of the central region and the hopping integral of the magnetic regions that are subjected to light irradiation. Finally, the effect of temperature on magnetoresistance is also investigated to make the model more realistic and suitable for device designing. Our analysis is purely a numerical one, and it leads to some fundamental prescriptions of obtaining enhanced magnetoresistance in multilayered systems.

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