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Journal articles on the topic 'HEISENBERG MODEL; SPIN'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

FARACH, H. A., R. J. CRESWICK, and C. P. POOLE. "THE RESTRICTED SPIN MODEL." Modern Physics Letters B 04, no. 16 (1990): 1029–41. http://dx.doi.org/10.1142/s0217984990001306.

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We present a novel anisotropic Heisenberg model in which the classical spin is restricted to a region of the unit sphere which depends on the value of the anisotropy parameter Δ. In the limit Δ→1, we recover the Ising model, and in the limit Δ→0, the isotopic Heisenberg model. Monte Carlo calculations are used to compare the critical temperature as a function of the anisotropy parameter for the restricted and unrestricted models, and finite-size scaling analysis leads to the conclusion that for all Δ>0 the model belongs to the Ising universality class. For small A the critical behavior is clearly seen in histograms of the transverse and longitudinal (z) components of the magnetization.

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2

SZETO, K. Y. "HIGH TEMPERATURE SERIES ANALYSIS OF SUSCEPTIBILITY DATA OF La2CuO4." Modern Physics Letters B 04, no. 04 (1990): 283–87. http://dx.doi.org/10.1142/s0217984990000350.

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The zero-field magnetic susceptibility of La 2 CuO 4 is analyzed using high temperature series for five different magnetic Hamiltonians in two-dimensions: spin 1/2 Heisenberg model, spin 1/2 XY model, classical Heisenberg model, classical XY model, and the Ising model. The goodness of fit indicates that the quantum spin 1/2 Heisenberg model is best, with the classical XY model second.

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3

Afremov, Leonid L., and Aleksandr A. Petrov. "“Average Spin” Approximation in the Heisenberg Model." Applied Mechanics and Materials 752-753 (April 2015): 243–46. http://dx.doi.org/10.4028/www.scientific.net/amm.752-753.243.

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The “average spin” method was developed in terms of Heisenberg model. The average magnetic moment’s depending average of the temperature, the number of the nearest neighbors and spin of the atom has been calculated. It’s shown that the Curie temperature decreases with the spin of the atom.

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4

ITO, NOBUYASU, and MASUO SUZUKI. "COHERENT-ANOMALY METHOD FOR QUANTUM SPIN SYSTEMS." International Journal of Modern Physics B 02, no. 01 (1988): 1–11. http://dx.doi.org/10.1142/s0217979288000020.

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The coherent-anomaly method (CAM) is applied to the Heisenberg model to test the applicability of the CAM for quantum spin systems. The Weiss, Bethe and constant coupling approximations are tried for the Heisenberg model on the simple cubic lattice and estimate the critical exponents of the susceptibility and spontaneous magnetization using the CAM. The results show that the CAM is also powerful for quantum spin systems. The detailed results of the Bethe approximation of the spin-1/2 isotropic Heisenberg model are presented.

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5

Felcy, A. Ludvin, and M. M. Latha. "A spin rotator model for Heisenberg helimagnet." Physica A: Statistical Mechanics and its Applications 491 (February 2018): 1–12. http://dx.doi.org/10.1016/j.physa.2017.08.059.

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6

ANGELUCCI, ANTIMO. "ORDER PARAMETERS OF FRUSTRATED SPIN SYSTEMS." International Journal of Modern Physics B 05, no. 04 (1991): 659–74. http://dx.doi.org/10.1142/s0217979291000365.

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We present a study of the ground states and of the low energy fluctuations of the frustrated Heisenberg spin chain, both classical and quantum. Analyzing this simple model we draw some general conclusions about the antiferro-helix “transition” of general classical Heisenberg models. We derive the low energy action describing the fluctuations about the helical phases and we infer the possible existence of nontrivial topological terms in the quantum counterparts.

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7

YANG, J., W. P. SU, and C. S. TING. "MODIFIED SCHWINGER BOSON THEORY OF QUANTUM HEISENBERG MODEL." Modern Physics Letters B 05, no. 24n25 (1991): 1695–701. http://dx.doi.org/10.1142/s0217984991002045.

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We proposed a modified Schwinger boson theory for quantum Heisenberg model which naturally satisfies the spin identity [Formula: see text], and in which the redundant degrees of freedom due to an average treatment of the constraints are discarded by introducing new boson operators. The results, either for free energy or for spin-spin correlation are exactly the same as those of Takahashi’s modified spin wave theory.7 This theory provides a unified approach to study the ferromagnet and antiferromagnet on equal footing. As such it would be a good starting point for discussing antiferromagnetism in the presence of holes, where ferromagnetic component plays an important role.

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8

Ng, K. K. "Bilayered Spin-S Heisenberg Model in Fractional Dimensions." International Journal of Modern Physics B 12, no. 18 (1998): 1809–12. http://dx.doi.org/10.1142/s0217979298001034.

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The ground state and the phase transitions of the bilayered spin-S anti-ferromagnetic Heisenberg model were studied by Ng et al.1 by using the Schwinger boson mean field theory. In this paper, an analytic continuation of the self-consistent equations is carried out in order to study the extension of the model to fractional dimensions from 1 to 2. Decreasing the dimensionality from 2 has an effect similar to that of decreasing the spin S. The corresponding phase diagram and phase transition will also be discussed.

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9

BELINICHER, V. I., and L. V. POPOVICH. "QUARTET STATE OF THE TWO-DIMENSIONAL HEISENBERG MODEL WITH THE SPIN-½ ON A SQUARE LATTICE." International Journal of Modern Physics B 08, no. 16 (1994): 2203–19. http://dx.doi.org/10.1142/s0217979294000890.

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The low-energy properties of the two-dimensional Heisenberg model with spin-½ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartets of spins. The spin variables and the Heisenberg Hamiltonian are expressed in terms of the low-energy quartet variables. On the basis of the Dyson-Maleev representation, the spin-wave theory of the quartet state is developed. The spectrum of the lower magnon excitations consists of three degenerate modes with the energy gap Δ=0.17J. The ground state energy per spin E/N=−0.6J. Calculations of the basic corrections make the work complete.

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10

Prata, G. N., P. H. Penteado, F. C. Souza, and Valter L. Líbero. "Spin-density functional for exchange anisotropic Heisenberg model." Physica B: Condensed Matter 404, no. 19 (2009): 3151–54. http://dx.doi.org/10.1016/j.physb.2009.07.066.

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11

Tamura, S., and H. Yokoyama. "Spin-current State in Anisotropic Triangular Heisenberg Model." Physics Procedia 58 (2014): 10–13. http://dx.doi.org/10.1016/j.phpro.2014.09.003.

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12

F. Barabanov, A., and O. A. Starykh. "Spherical Symmetric Spin Wave Theory of Heisenberg Model." Journal of the Physical Society of Japan 61, no. 2 (1992): 704–8. http://dx.doi.org/10.1143/jpsj.61.704.

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13

Aoki, Tosizumi. "Spin-Wave Theory of Modified Quantum Heisenberg Model." Journal of the Physical Society of Japan 65, no. 5 (1996): 1430–39. http://dx.doi.org/10.1143/jpsj.65.1430.

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14

Falo, F., R. Navarro, and L. M. Floria. "Projected spin wave theory: the Heisenberg anisotropic model." Journal of Physics C: Solid State Physics 21, no. 2 (1988): 445–60. http://dx.doi.org/10.1088/0022-3719/21/2/026.

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15

Kebukawa, T. "One-Dimensional Heisenberg Model. I: Exact Spin Eigenstates." Progress of Theoretical Physics 74, no. 1 (1985): 1–10. http://dx.doi.org/10.1143/ptp.74.1.

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16

Kebukawa, T. "One-Dimensional Heisenberg Model. I: Exact Spin Eigenstates." Progress of Theoretical Physics 75, no. 3 (1986): 763. http://dx.doi.org/10.1143/ptp.75.763.

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17

Sandvik, Anders W., and Douglas J. Scalapino. "Spin dynamics ofLa2CuO4and the two-dimensional Heisenberg model." Physical Review B 51, no. 14 (1995): 9403–6. http://dx.doi.org/10.1103/physrevb.51.9403.

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18

Monti, F. "Spin-1/2 Heisenberg model on Δ trees". Physics Letters A 156, № 3-4 (1991): 197–200. http://dx.doi.org/10.1016/0375-9601(91)90937-4.

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19

White, Steven R. "Spin Gaps in a Frustrated Heisenberg Model forCaV4O9." Physical Review Letters 77, no. 17 (1996): 3633–36. http://dx.doi.org/10.1103/physrevlett.77.3633.

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20

Locher, Peter. "Linear spin waves in a frustrated Heisenberg model." Physical Review B 41, no. 4 (1990): 2537–39. http://dx.doi.org/10.1103/physrevb.41.2537.

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21

Ming-Liang, Hu, and Tian Dong-Ping. "Bipartite entanglement in spin-1/2 Heisenberg model." Chinese Physics C 32, no. 4 (2008): 303–7. http://dx.doi.org/10.1088/1674-1137/32/4/013.

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22

Naef, F., and X. Zotos. "Spin and energy correlations in the one dimensional spin- Heisenberg model." Journal of Physics: Condensed Matter 10, no. 12 (1998): L183—L190. http://dx.doi.org/10.1088/0953-8984/10/12/001.

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23

Lai, Yun-Zhong, Zhan-Ning Hu, J. Q. Liang, and Fu-Cho Pu. "The two-element spin chain related to the Heisenberg spin model." Journal of Physics: Condensed Matter 11, no. 12 (1999): L95—L103. http://dx.doi.org/10.1088/0953-8984/11/12/002.

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24

Terao, Kiyosi. "Note on Spin Structure of the Classical Vector Spin Heisenberg Model." Journal of the Physical Society of Japan 74, no. 9 (2005): 2642–43. http://dx.doi.org/10.1143/jpsj.74.2642.

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25

Bilski, Jakub, Suddhasattwa Brahma, Antonino Marcianò, and Jakub Mielczarek. "Klein–Gordon field from the XXZ Heisenberg model." International Journal of Modern Physics D 28, no. 01 (2019): 1950020. http://dx.doi.org/10.1142/s0218271819500202.

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We examine the recently introduced idea of Spin-Field Correspondence (SFC) focusing on the example of the spin system described by the XXZ Heisenberg model with external magnetic field. The Hamiltonian of the resulting nonlinear scalar field theory is derived for arbitrary value of the anisotropy parameter [Formula: see text]. We show that the linear scalar field theory is reconstructed in the large spin limit. For [Formula: see text], a nonrelativistic scalar field theory satisfying the Born reciprocity principle is recovered. As expected, for the vanishing anisotropy parameter [Formula: see text], the standard relativistic Klein–Gordon field is obtained. Various aspects of the obtained class of the scalar fields are studied, including the fate of the relativistic symmetries and the properties of the emerging interaction terms. We show that, in a certain limit, the so-called polymer quantization of the field variables is recovered. This and other discussed properties suggest a possible relevance of the considered framework in the context of quantum gravity.

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26

Dandoloff, Rossen. "New Topological Configurations in the Continuous Heisenberg Spin Chain: Lower Bound for the Energy." Advances in Condensed Matter Physics 2015 (2015): 1–3. http://dx.doi.org/10.1155/2015/954524.

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In order to study the spin configurations of the classical one-dimensional Heisenberg model, we map the normalized unit vector, representing the spin, on a space curve. We show that the total chirality of the configuration is a conserved quantity. If, for example, one end of the space curve is rotated by an angle of 2πrelative to the other, the Frenet frame traces out a noncontractible loop inSO(3)and this defines a new class of topological spin configurations for the Heisenberg model.

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27

BOUGOURZI, A. H. "EXACT n-SPINON DYNAMIC STRUCTURE FACTOR OF THE HEISENBERG MODEL." Modern Physics Letters B 10, no. 25 (1996): 1237–44. http://dx.doi.org/10.1142/s0217984996001401.

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28

LI, JUN, GUOZHU WEI, and AN DU. "COMPENSATION TEMPERATURE OF A MIXED SPIN-1 AND SPIN-1/2 HEISENBERG FERRIMAGNETIC MODEL." International Journal of Modern Physics B 18, no. 10n11 (2004): 1637–49. http://dx.doi.org/10.1142/s0217979204024963.

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The behavior of the compensation of a mixed spin-1 and spin-1/2 Heisenberg ferrimagnetic system on a square lattice is investigated theoretically by a two-time Green-function technique which takes into account the quantum nature of Heisenberg spins. The model includes the nearest and next-nearest neighbor interactions between spins, a crystal field and an external magnetic field. This model can be relevant for understanding the magnetic behavior of bimetallic molecular ferrimagnets that are currently being synthesized by several experimental groups. We study the spin-wave spectra of the ground state and investigate the effects of the next-nearest neighbor interactions, a crystal field and an external magnetic field on the compensation temperature. It is found that a compensation point appears and it is basically unchanged when the next-nearest-neighbor interaction between spin-1/2 is taken into account and exceeds a minimum value for other values in Hamiltonian fixed. The compensation temperature is influenced by the next-nearest-neighbor interaction between spin-1 and the external magnetic field and it is disappearing as these parameters exceed the trivial values.

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29

CAPRIOTTI, LUCA. "QUANTUM EFFECTS AND BROKEN SYMMETRIES IN FRUSTRATED ANTIFERROMAGNETS." International Journal of Modern Physics B 15, no. 12 (2001): 1799–842. http://dx.doi.org/10.1142/s0217979201004605.

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We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and J1–J2 Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum Monte Carlo methods. In the triangular Heisenberg antiferromagnet, by performing a systematic size-scaling analysis, we have obtained strong evidences for a gapless spectrum and a finite value of the thermodynamic order parameter, thus confirming the existence of long-range Néel order. The good agreement between the finite-size spin-wave results and the exact and quantum Monte Carlo data also supports the reliability of the spin-wave expansion to describe both the ground state and the low-energy spin excitations of the triangular Heisenberg antiferromagnet. In the J1–J2 Heisenberg model, our results indicate the opening of a finite gap in the thermodynamic excitation spectrum at J2/J1≃0.4, marking the melting of the antiferromagnetic Néel order and the onset of a non-magnetic ground state. In order to characterize the nature of the latter quantum-disordered phase we have computed the susceptibilities for the most important crystal symmetry breaking operators. In the ordered phase the effectiveness of the spin-wave theory in reproducing the low-energy excitation spectrum suggests that the uniform spin susceptibility of the model is very close to the linear spin-wave prediction.

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30

Kapitan, Vitaliy Yu, Yuriy A. Shevchenko, Alexander V. Perzhu, and Egor V. Vasiliev. "Thermodynamic Properties of Heisenberg Spin Systems." Key Engineering Materials 806 (June 2019): 142–54. http://dx.doi.org/10.4028/www.scientific.net/kem.806.142.

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We present the simulation results of magnetic 2D and 3D structures with direct (for both of them) and Dzyaloshinskii-Moriya (DMI) (for 2D lattice) interactions in the frame of the Heisenberg model. We have adapted the multipath Metropolis algorithm for systems with complex types of exchange interactions and rough energy landscapes. We show the temperature behavior of magnetization, energy, and heat capacity, and reveal its critical temperatures and order parameter.

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31

ACQUARONE, M., C. NOCE, and A. ROMANO. "INVESTIGATING THE COEXISTENCE OF MAGNETISM AND SUPERCONDUCTIVITY IN THE KONDO-HEISENBERG MODEL." International Journal of Modern Physics B 17, no. 04n06 (2003): 621–28. http://dx.doi.org/10.1142/s0217979203016339.

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We perform a finite-size cluster study of the Kondo-Heisenberg model, describing a system of itinerant electrons locally coupled via a Kondo-type interaction to a set of magnetic ions. The ionic moments are assumed to have antiferromagnetic order, due to a nearest-neighbor Heisenberg coupling. By consecutive application of displacement and squeezing transformations, a spin polaron effective Hamiltonian is derived, which is exactly solved on a 8-site closed ring. By analyzing the behavior of suitably defined correlation functions in the variationally optimized ground state, special attention is devoted to the conditions under which a superconducting phase coexisting with spin order can be established.

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32

Li, Jun, Guozhu Wei, and An Du. "Green function study of a mixed spin- and spin- Heisenberg ferrimagnetic model." Journal of Magnetism and Magnetic Materials 269, no. 3 (2004): 410–18. http://dx.doi.org/10.1016/j.jmmm.2003.07.005.

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33

DAGOTTO, ELBIO. "THE t-J AND FRUSTRATED HEISENBERG MODELS: A STATUS REPORT ON NUMERICAL STUDIES." International Journal of Modern Physics B 05, no. 06n07 (1991): 907–35. http://dx.doi.org/10.1142/s0217979291000481.

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Recent numerical work on the t-J model and the frustrated spin-[Formula: see text] Heisenberg antiferromagnet is reviewed. Lanczos results are mainly discussed but other methods are also mentioned. Static and dynamical properties of one and more holes in the t-J model are presented. The current active search for nontrivial ground states of the frustrated Heisenberg model is summarized. It is concluded that numerical methods are providing useful information in the study of these models.

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34

Sousa, J. Ricardo de. "Critical behavior of the quantum spin- anisotropic Heisenberg model." Physica A: Statistical Mechanics and its Applications 259, no. 1-2 (1998): 138–44. http://dx.doi.org/10.1016/s0378-4371(98)00087-9.

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35

Takahashi, Minoru. "Modified spin wave theory for low dimensional Heisenberg model." Journal of Magnetism and Magnetic Materials 90-91 (December 1990): 312–14. http://dx.doi.org/10.1016/s0304-8853(10)80113-1.

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36

Lima, L. S. "Spin conductivity of the two-dimensional ferroquadrupolar Heisenberg model." Solid State Communications 228 (February 2016): 6–9. http://dx.doi.org/10.1016/j.ssc.2015.11.023.

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37

Akıncı, Ümit. "Hysteresis behaviors of a spin-1 anisotropic Heisenberg model." Journal of Magnetism and Magnetic Materials 397 (January 2016): 247–54. http://dx.doi.org/10.1016/j.jmmm.2015.08.107.

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38

Mitra, Sambhu Nath, and K. G. Chakraborty. "Heisenberg spin model with single and double electron exchange." Journal of Physics: Condensed Matter 9, no. 8 (1997): 1887. http://dx.doi.org/10.1088/0953-8984/9/8/019.

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39

Xia, Ke, Weiyi Zhang, and Hongru Zhai. "Magnetization and susceptibility of the two-spin Heisenberg model." Solid State Communications 102, no. 1 (1997): 35–40. http://dx.doi.org/10.1016/s0038-1098(96)00606-0.

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40

Katoh, Nobuyuki, and Masatoshi Imada. "Spin Gap in Two-Dimensional Heisenberg Model for CaV4O9." Journal of the Physical Society of Japan 64, no. 11 (1995): 4105–8. http://dx.doi.org/10.1143/jpsj.64.4105.

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41

Li, Hu, Da-Chuang Li, Xian-Ping Wang, Ming Yang, and Zhuo-Liang Cao. "Thermal Entanglement in the Spin- S Heisenberg XYZ Model." Chinese Physics Letters 31, no. 4 (2014): 040301. http://dx.doi.org/10.1088/0256-307x/31/4/040301.

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42

Rozenberg, M. J., and A. Camjayi. "Specific heat in theSU(N) Heisenberg spin-glass model." Journal of Physics: Condensed Matter 16, no. 11 (2004): S723—S727. http://dx.doi.org/10.1088/0953-8984/16/11/021.

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43

Alcaraz, Francisco C., and Márcio J. Martins. "Conformal invariance and the Heisenberg model with arbitrary spin." Physical Review Letters 63, no. 7 (1989): 708–11. http://dx.doi.org/10.1103/physrevlett.63.708.

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44

Bacci, S., E. Gagliano, and E. Dagotto. "Spin-1/2 frustrated Heisenberg model at finite temperature." Physical Review B 44, no. 1 (1991): 285–92. http://dx.doi.org/10.1103/physrevb.44.285.

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45

Pantelidis, Leonidas. "‘Off-shell’ nonlinear spin waves for the Heisenberg model." Journal of Physics A: Mathematical and Theoretical 41, no. 10 (2008): 105101. http://dx.doi.org/10.1088/1751-8113/41/10/105101.

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46

Karbach, M., K. H. Mütter, P. Ueberholz, and H. Kröger. "Approach to the spin-1/2 quantum Heisenberg model." Physical Review B 48, no. 18 (1993): 13666–77. http://dx.doi.org/10.1103/physrevb.48.13666.

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47

Mitra, S. N., and K. G. Chakraborty. "Heisenberg spin model with single- and double-electron exchange." Journal of Physics: Condensed Matter 6, no. 48 (1994): 10533–42. http://dx.doi.org/10.1088/0953-8984/6/48/014.

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48

Bechmann, M., and R. Oppermann. "Dynamical solutions of a quantum Heisenberg spin glass model." European Physical Journal B 41, no. 4 (2004): 525–33. http://dx.doi.org/10.1140/epjb/e2004-00346-y.

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49

Schieback, C., M. Kläui, U. Nowak, U. Rüdiger, and P. Nielaba. "Numerical investigation of spin-torque using the Heisenberg model." European Physical Journal B 59, no. 4 (2007): 429–33. http://dx.doi.org/10.1140/epjb/e2007-00062-2.

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50

Richter, J., A. Voigt, and S. Krüger. "A solvable quantum spin model: the frustrated Heisenberg star." Journal of Magnetism and Magnetic Materials 140-144 (February 1995): 1497–98. http://dx.doi.org/10.1016/0304-8853(94)00508-7.

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