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An integrable Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and Dzyaloshinski-Moriya interacton is constructed. The integrability of the model is proven. Based on the Bethe Ansatz solutions, the…

Mathematical Physics · Physics 2018-12-27 Yi Qiao , Zhirong Xin , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We discuss a scheme for simulating the real time quantum quench dynamics of interacting quantum spin systems within the positive-P formalism. As model systems we study the transverse field Ising model as well as the Heisenberg model…

Statistical Mechanics · Physics 2013-07-25 Ray Ng , Erik Sorensen

Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for highly frustrated quantum antiferromagnets whose dynamical…

Strongly Correlated Electrons · Physics 2022-11-24 Run-Ze Chi , Yang Liu , Yuan Wan , Hai-Jun Liao , T. Xiang

In this letter we present a general classification of integrable models of identical classical spins coupled via the isotropic Heisenberg Hamiltonian. Our constructive proof of integrability provides a solution scheme for the equations…

Other Condensed Matter · Physics 2007-05-23 Marco Ameduri , Bogomil Gerganov , Richard A. Klemm

The usual interaction energy of the random field Ising model in statistical physics is modified by complementing the random field by added to the energy of the usual Ising model a nonlinear term S^n were S is the sum of the neighbor spins,…

Computational Physics · Physics 2011-06-29 M. A. Sumour , M. A. Radwan , M. M. Shabat

The frustrated ladder with alternate ferromagnetic(F) exchange $-J_F$ and AF exchange $J_A$ to first neighbors and F exchange $-J_L$ to second neighbors is studied by exact diagonalization (ED) and density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-03-11 Monalisa Chatterjee , Manoranjan Kumar , Zoltán G. Soos

A bipartite entanglement between two nearest-neighbor Heisenberg spins of a spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice is quantified using a concurrence. It is shown that the concurrence equals zero in a classical…

Statistical Mechanics · Physics 2020-07-06 Cesur Ekiz , Jozef Strecka

The temporal magnetic correlations of the triangular lattice antiferromagnet NiGa$_2$S$_4$ are examined through thirteen decades ($10^{-13}-1$~sec) using ultra-high-resolution inelastic neutron scattering, muon spin relaxation, AC and…

We describe a method for calculating dynamical spin-spin correlation functions in the finite isotropic and anisotropic antiferromagnetic Heisenberg models. Our method is able to produce results with high accuracy over the full parameter…

Strongly Correlated Electrons · Physics 2009-11-11 Rob Hagemans , Jean-Sébastien Caux , Jean Michel Maillet

Infinite-temperature long-time dynamics of Heisenberg model ${\bf\hat{H}}=-\frac{1}{2}\sum_{i,j}J_{ij} \hat{\vec{S}}_{i}\hat{\vec{S}}_{j}$ is investigated. It is shown that the quantum spin pair-correlator is equal to the correlator of…

Condensed Matter · Physics 2009-10-22 Michael Chertkov , Igor Kolokolov

In the 1970s a new paradigm was introduced that interacting quenched systems, such as a spin-glass, have a phase transition in which long time memory of spatial patterns is realized without spatial correlations. The principal methods to…

Magnetic and superconducting pairing correlation functions in a general class of Hubbard models, the t-J model and a single-band Hubbard model with additional bond-charge interaction are investigated, respectively. Some rigorous upper…

Condensed Matter · Physics 2009-10-28 Gang Su

We perform exact numeric calculations for the two-orbital Hubbard model on the four-site cluster. In the limit of large on-site coupling the model becomes equivalent to the spin $S=1$ Heisenberg model. By comparing energy spectra of these…

Strongly Correlated Electrons · Physics 2018-09-26 R. Lemański , J. Matysiak

We study the spin excitation spectra of the two-dimensional spin-$1/2$ Heisenberg model with a checkerboard structures using stochastic analytic continuation of the imaginary-time correlation function obtained from a quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2019-02-13 Yining Xu , Zijian Xiong , Han-Qing Wu , Dao-Xin Yao*

We consider a symmetric spin-1/2 Ising-XXZ double sawtooth spin ladder obtained from distorting a spin chain, with the XXZ interaction between the interstitial Heisenberg dimers (which are connected to the spins based on the legs via an…

Statistical Mechanics · Physics 2017-10-25 Hamid Arian Zad , Nerses Ananikian

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [A. Rapp, G. Zarand, Phys. Rev. B 74, 014433 (2006)] can also be used for the…

Statistical Mechanics · Physics 2009-01-26 Akos Rapp , Gergely Zarand

We consider here the problem of a "central spin", with spin quantum number $S \gg 1$, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes magnetic grains or magnetic…

Condensed Matter · Physics 2016-08-31 N. V. Prokof'ev , P. C. E. Stamp

A genuine tripartite entanglement of a mixed spin-(1/2,1) Heisenberg tetramer is rigorously analyzed in a presence of external magnetic field. The couple of mixed spin-(1/2,1) dimers is arranged in a perfect rectangular square plaquette…

Quantum Physics · Physics 2023-11-30 Hana Vargová , Jozef Strečka

Critical behavior of the quantum phase transition of a site-diluted Heisenberg antiferromagnet on a square lattice is investigated by means of the quantum Monte Carlo simulation with the continuous-imaginary-time loop algorithm. Although…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. Yasuda , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin