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We consider isotropic XY model in the transverse magnetic field on the one dimensional lattice. Another name of the model in Heisenberg XXO model of spin 1/2.We solved long standing problem of evaluation of temperature correlations. We…

凝聚态物理 · 物理学 2007-05-23 Alexandr Its , Anatloij Izergin , Vladimr Korepin , Nikita Slavnov

In this paper we derive the exact expression of the four-spinon contribution to the dynamical correlation function of the spin S= 1/2 anisotropic (XXZ) Heisenberg model in the antiferromagnetic regime. We extensively study its isotropic…

高能物理 - 理论 · 物理学 2009-10-30 A. Abada , A. H. Bougourzi , B. Si-Lakhal

The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

统计力学 · 物理学 2012-03-15 Robin Steinigeweg

One-dimensional systems with short-range interactions cannot exhibit a long-range order at nonzero temperature. However, there are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of lattice…

统计力学 · 物理学 2019-02-20 I. M. Carvalho , J. Torrico , S. M. de Souza , Onofre Rojas , Oleg Derzhko

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

数学物理 · 物理学 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb_2MnF_4. The measured correlation lengths are quantitatively described, with no…

强关联电子 · 物理学 2009-10-31 Y. S. Lee , M. Greven , B. O. Wells , R. J. Birgeneau , G. Shirane

We improved the decoupling approximation of the double-time Green's function theory, and applied it to study the spin-${1\over 2}$ two-dimensional antiferromagnetic Heisenberg model with broken bonds at finite temperature. Our decoupling…

强关联电子 · 物理学 2009-10-31 Yun Song , H. Q. Lin , Jue-Lian Shen

We consider the finite-temperature frequency and momentum dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero temperature correlation function is dominated by a…

强关联电子 · 物理学 2015-05-13 F. H. L. Essler , R. M. Konik

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.

统计力学 · 物理学 2009-11-11 Michael Bortz , Frank Göhmann

We provide exact analytical expressions for the magnetic susceptibility function in the high temperature expansion for finite Heisenberg spin systems with an arbitrary coupling matrix, arbitrary single-spin quantum number, and arbitrary…

统计力学 · 物理学 2009-11-07 H. -J. Schmidt , J. Schnack , Marshall Luban

We show that the high-temperature expansion of the free energy and arbitrary imaginary-time-ordered connected correlation functions of quantum spin systems can be recursively obtained from the exact renormalization group flow equation for…

强关联电子 · 物理学 2024-10-15 Andreas Rückriegel , Dmytro Tarasevych , Jan Krieg , Peter Kopietz

Spectral analysis of the {\em adjoint} propagator in a suitable Hilbert space (and Lie algebra) of quantum observables in Heisenberg picture is discussed as an alternative approach to characterize infinite temperature dynamics of non-linear…

混沌动力学 · 物理学 2009-10-31 Tomaz Prosen

The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate its time evolution and the corresponding action-angle…

数学物理 · 物理学 2021-09-21 Heinz-Jürgen Schmidt

We numerically investigate thermal entanglement of the spins (1/2,1) and (1/2,1/2) in the three-mixed (1/2,1,1/2) anisotropic Heisenberg XXZ spin system on a simple triangular cell under an inhomogeneous magnetic field. We show that the…

统计力学 · 物理学 2013-09-11 Seyit Deniz Han , Ekrem Aydiner

We calculate the static and dynamic properties of single crystal, single molecule magnets consisting of equal spin $S=1/2$ or 5/2 dimers. The spins in each dimer interact with each other via the Heisenberg exchange interaction and with the…

统计力学 · 物理学 2009-11-07 Dmitri V. Efremov , Richard A. Klemm

We present a spin-rotation-invariant Green-function theory of long- and short-range order in the ferro- and antiferromagnetic Heisenberg model with arbitrary spin quantum number S on a stacked square lattice. The thermodynamic quantities…

强关联电子 · 物理学 2010-09-23 I. Juhász Junger , D. Ihle , J. Richter

The spin-1/2 XXZ Heisenberg magnet is considered for the case of the anisotropy parameter tending to infinity (so-called, Ising limit). A thermal correlation function of the ferromagnetic string is calculated over the ground state. The…

统计力学 · 物理学 2019-01-14 N. M. Bogoliubov , C. Malyshev

We discuss some properties of the exact four-spinon dynamical correlation function $S_4$ in the antiferromagnetic spin 1/2 $XXX$-model, the expression of which we derived recently. We show that the region in which it is not identically zero…

凝聚态物理 · 物理学 2007-05-23 A. Abada , A. H. Bougourzi , S. Seba , B. Si-Lakhal

Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY-model (i.e. the anisotropic limit of an easy-plane Heisenberg ferromagnet), on square lattices of…

凝聚态物理 · 物理学 2007-05-23 H. G. Evertz , D. P. Landau

In this study, we use Hubbard-Corrected density functional theory (DFT+$U$) to derive spin model Hamiltonians consisting of Heisenberg exchange interactions up to the fourth nearest neighbors and bi-quadratic interactions. We map the…

材料科学 · 物理学 2023-05-03 Mojtaba Alaei , Homa Karimi