International Journal of Modern Physics B

THE INHOMOGENEOUS HEISENBERG CHAIN WITH THE INTERACTION OF CLASSICAL AND QUANTUM SPINS

Б. И. Садовников, Наталья Германовна Иноземцева, V. I. Inozemtsev

Published May 10, 2000• 0 citations

Abstract

The thermodynamics of an inhomogeneous 1D Heisenberg chain with alternating classical and quantum spins is studied. The explicit expressions for the free energy, specific heat, thermal spin correlations and linear susceptibility are found.

DOI: 10.1142/s021797920000145x

Related papers

The correlation function and the thermodynamic quantities of the mixed system

Б. И. Садовников, Наталья Германовна Иноземцева, V. I. Inozemtsev

The themiodynamics of an in homogeneous 1D Heisenberg chain with alternating classical and quantum spins is studied. The explicit expressions for the free energy, specific heat, thermal spin correlations and linear susceptibility are found.

Physics of Particles and NucleiNov 25, 20102 citations

Thermodynamics of quantum Heisenberg spin chains

Tao Xiang

arXiv:cond-mat/9808179Physical review. B, Condensed matterOct 1, 199892 citations

Magnetism in One-Dimensional Systems—The Heisenberg Model for Infinite Spin

Michael Ellis Fisher

It is observed that the free-energy, susceptibility, and correlation functions for a linear chain of N spins with nearest-neighbor isotropic Heisenberg coupling can be calculated explicitly in the (classical) limit of infinite spin. The results are compared briefly with those for Ising and Heisenberg chains of spin 12.

American Journal of PhysicsMay 1, 19641,544 citations

Mixed Heisenberg chains: II. Thermodynamics

H. Niggemann, G. Uimin, J. Zittartz

arXiv:cond-mat/9712202Journal of Physics Condensed MatterJun 15, 199829 citations

Heisenberg Linear Chain Magnets with Unlike Spins –An Exactly Soluble Model–

Hisao Okamoto, Katsuhiko Nagano, Tahashi Karasudani

The free energy, susceptibility and correlation functions for a linear chain of N +1 spins with unequal nearest-neighbor isotropic Heisenberg couplings due to two unlike spins randomly distributed on the chain are calculated explicitly in the (classical) limit of infinite spin. The temperature and concentration dependence of susceptibility are given in comparison with that for one-component systems.

Journal of the Physical Society of JapanDec 1, 19760 citations

Spin-1/2 Antiferromagnetic Heisenberg Chain with Long-range Interactions

Jialiang Li

Journal of Henan Normal UniversityJan 1, 20080 citations

International Journal of Modern Physics B

THE INHOMOGENEOUS HEISENBERG CHAIN WITH THE INTERACTION OF CLASSICAL AND QUANTUM SPINS

Б. И. Садовников, Наталья Германовна Иноземцева, V. I. Inozemtsev

Published May 10, 2000• 0 citations

Publisher

Abstract

DOI: 10.1142/s021797920000145x

Related papers

The correlation function and the thermodynamic quantities of the mixed system

Б. И. Садовников, Наталья Германовна Иноземцева, V. I. Inozemtsev

Physics of Particles and NucleiNov 25, 20102 citations

Thermodynamics of quantum Heisenberg spin chains

Tao Xiang

Thermodynamic properties of the quantum Heisenberg spin chains with $S=1/2,$ 1, and $3/2$ are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat, spin-spin correlation length, and several other physical quantities in a zero or finite applied field are calculated and compared. Our data agree well with the Bethe ansatz, exact diagonalization, and quantum Monte Carlo results and provide further insight into the quantum effects in the antiferromagnetic Heisenberg spin chains.Thermodynamic properties of the quantum Heisenberg spin chains with $S=1/2,$ 1, and $3/2$ are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat, spin-spin correlation length, and several other physical quantities in a zero or finite applied field are calculated and compared. Our data agree well with the Bethe ansatz, exact diagonalization, and quantum Monte Carlo results and provide further insight into the quantum effects in the antiferromagnetic Heisenberg spin chains.

arXiv:cond-mat/9808179Physical review. B, Condensed matterOct 1, 199892 citations

Magnetism in One-Dimensional Systems—The Heisenberg Model for Infinite Spin

Michael Ellis Fisher

American Journal of PhysicsMay 1, 19641,544 citations

Mixed Heisenberg chains: II. Thermodynamics

H. Niggemann, G. Uimin, J. Zittartz

We consider thermodynamic properties, e.g. specific heat and magnetic susceptibility, of alternating Heisenberg spin chains. Due to a hidden Ising symmetry, these chains can be decomposed into a set of finite chain fragments. The problem of finding the thermodynamic quantities is effectively separated into two parts. First we deal with finite objects; secondly we can incorporate the fragments into a statistical ensemble. As functions of the coupling constants, the models exhibit special features in the thermodynamic quantities, e.g. the specific heat displays double peaks at low enough temperatures. These features stem from first-order quantum phase transitions at zero temperature, which have been investigated in the first part of this work.We consider thermodynamic properties, e.g. specific heat and magnetic susceptibility, of alternating Heisenberg spin chains. Due to a hidden Ising symmetry, these chains can be decomposed into a set of finite chain fragments. The problem of finding the thermodynamic quantities is effectively separated into two parts. First we deal with finite objects; secondly we can incorporate the fragments into a statistical ensemble. As functions of the coupling constants, the models exhibit special features in the thermodynamic quantities, e.g. the specific heat displays double peaks at low enough temperatures. These features stem from first-order quantum phase transitions at zero temperature, which have been investigated in the first part of this work.

arXiv:cond-mat/9712202Journal of Physics Condensed MatterJun 15, 199829 citations

Heisenberg Linear Chain Magnets with Unlike Spins –An Exactly Soluble Model–

Hisao Okamoto, Katsuhiko Nagano, Tahashi Karasudani

Journal of the Physical Society of JapanDec 1, 19760 citations

Spin-1/2 Antiferromagnetic Heisenberg Chain with Long-range Interactions

Jialiang Li

Using the mean-field Jordan-Wigner transformation,this paper studies the one-dimensional spin-Heisenberg XYZ antiferromagnetic chain with uniform long-range interactions among the z components of the spins in the transverse field.The research has obtained such analytic expressions and the numerical results of the thermodynamic quantities,as the Helmholtz free energy,internal energy,specific heat,magnetization and susceptibility.The results in the degenerate condition agree with that from other literaturesUsing the mean-field Jordan-Wigner transformation,this paper studies the one-dimensional spin-Heisenberg XYZ antiferromagnetic chain with uniform long-range interactions among the z components of the spins in the transverse field.The research has obtained such analytic expressions and the numerical results of the thermodynamic quantities,as the Helmholtz free energy,internal energy,specific heat,magnetization and susceptibility.The results in the degenerate condition agree with that from other literatures

Journal of Henan Normal UniversityJan 1, 20080 citations

Thermodynamic properties of the quantum Heisenberg spin chains with

S=1/2,

1, and

3/2

are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat, spin-spin correlation length, and several other physical quantities in a zero or finite applied field are calculated and compared. Our data agree well with the Bethe ansatz, exact diagonalization, and quantum Monte Carlo results and provide further insight into the quantum effects in the antiferromagnetic Heisenberg spin chains.