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The spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between the nodal spins is rigorously solved using the transfer-matrix method. Exact results for the ground state, magnetization process and specific heat are…

统计力学 · 物理学 2016-02-04 Vahan Hovhannisyan , Jozef Strecka , Nerses Ananikian

An exactly solvable variant of mixed spin-(1/2,1) Ising-Heisenberg diamond chain is considered. Vertical spin-1 dimers are taken as quantum ones with Heisenberg bilinear and biquadratic interactions and with single-ion anisotropy, while all…

统计力学 · 物理学 2011-03-31 Onofre Rojas , S. M. de Souza , Vadim Ohanyan , Martiros Khurshudyan

The one dimensional spin system consisted of triangular $S=1/2$ $XXZ$ Heisenberg clusters alternating with single Ising spins is considered. Partition function of the system is calculated exactly within the transfer--matrix formalism. T=0…

统计力学 · 物理学 2010-02-14 Vadim Ohanyan

The Ising model on an alternating triangular lattice with the nearest-neighbor interaction in a magnetic field is presented. Exact solution of this model is found. The thermodynamic quantities, like free energy, specific heat a finite…

统计力学 · 物理学 2014-10-08 Elías Ríos

We obtain the exact physical characteristics of the triple-chain Ising model on a torus with all possible multispin interactions invariant with respect to rotation by the angle $2\pi / 3$. The exact value of the partition function in a…

统计力学 · 物理学 2024-06-18 Pavel Khrapov , Nikita Volkov

The mixed spin-(1,1/2) Ising-Heisenberg model on a distorted diamond chain with the spin-1 nodal atoms and the spin-1/2 interstitial atoms is exactly solved by the transfer-matrix method. An influence of the geometric spin frustration and…

统计力学 · 物理学 2016-12-16 Bohdan Lisnyi , Jozef Strecka

Exact results of a mixed spin-1/2 and spin-1 Ising-Heisenberg diamond chain are obtained applying a generalized decoration-iteration transformation. Depending on the values of external field, exchange parameters and anisotropy, there exist…

统计力学 · 物理学 2015-06-24 Michal Jascur , Jozef Strecka

The spin-1/2 Ising-Heisenberg two-leg ladder accounting for alternating Ising and Heisenberg inter-leg couplings in addition to the Ising intra-leg coupling is rigorously mapped onto to a mixed spin-(3/2,1/2) Ising-Heisenberg diamond chain…

统计力学 · 物理学 2016-08-23 Onofre Rojas , J. Strečka , S. M. de Souza

The spin-1/2 Ising-Heisenberg tetrahedral chain is exactly solved using its local gauge symmetry, which enables one to establish a rigorous mapping with the corresponding chain of composite Ising spins tractable within the transfer-matrix…

统计力学 · 物理学 2013-04-09 Onofre Rojas , Jozef Strecka , Marcelo L. Lyra

In this paper the exact solution and correlation functions for a double-chain Ising model with multi-spin interactions and symmetric Hamiltonian density are obtained. The study employs the transfer matrix method to derive fundamental…

统计力学 · 物理学 2025-11-21 Pavel Khrapov , Stepan Shchurenkov

We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range…

统计力学 · 物理学 2023-08-24 Etienne Granet

An exactly solvable spin-electron tetrahedral chain, where the Ising spins localized at nodal lattice sites regularly alternate with three equivalent lattice sites available for one mobile electron is considered. The system with…

统计力学 · 物理学 2016-08-12 Lucia Galisova

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…

统计力学 · 物理学 2017-10-25 Hamid Arian Zad , Nerses Ananikian

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

统计力学 · 物理学 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

A symmetric spin-1/2 Ising-Heisenberg diamond chain with the Ising four-spin interaction is exactly solved by means of the generalized decoration-iteration mapping transformation. The ground state, the magnetization process and…

统计力学 · 物理学 2013-01-08 Lucia Galisova

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 thermodynamic quantities as density of states, specific heat,…

统计力学 · 物理学 2022-11-23 Heinz-Jürgen Schmidt , Christian Schröder

We propose an exactly solvable multisite interaction spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice for the rigorous studies of chaotic entanglement. By making use of the generalized star-triangle transformation, we map…

统计力学 · 物理学 2015-08-25 Levon Chakhmakhchyan , Stéphane Guérin , Claude Leroy

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…

数学物理 · 物理学 2018-12-27 Yi Qiao , Zhirong Xin , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study a spin-1/2 model with triangular XXZ-clusters on the orthogonal-dimer chain in the presence of an external magnetic field. First, we discuss the case where the triangular clusters are coupled via intermediate "classical" Ising…

强关联电子 · 物理学 2012-08-15 Vadim Ohanyan , Andreas Honecker

The paper considers the generalized Ising model in the $2\times2\times\infty$ strip with a Hamiltonian invariant with respect to the central axis of rotation through the angle $\pi/2$, which includes all possible multiplicative interactions…

统计力学 · 物理学 2022-06-01 Pavel Khrapov , Veronika Nikishina
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