Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2503.21831

Thermodynamics of the XX spin chain in the QTM approach

P. N. Bibikov

Published Mar 26, 2025• 0 citations
arXivHTMLPDF

Abstract

The free energy density of the XX chain in magnetic field is obtained in two alternative ways within the Quantum Transfer Matrix approach. In both the cases the proofs are complete and self-consistent. All the intermediate constructions are presented explicitly in detail.
DOI
10.48550/arxiv.2503.21831

Related papers

Spinons in magnetic chains of arbitrary spins at finite temperatures

J Suzuki

The thermodynamics of solvable isotropic chains with arbitrary spins is addressed by the recently developed quantum transfer matrix (QTM) approach. The set of nonlinear equations which exactly characterizes the free energy is derived by respecting the physical excitations at T = 0, spinons and RSOS kinks. We argue the implication of the present formulation for a spinon character formula of the level- WZWN model.

arXiv:cond-mat/9807076•Journal of Physics A Mathematical and General•Jan 1, 1999•97 citations

Thermodynamics of an Ising-like XXZ chain in a longitudinal magnetic field in the framework of the quantum transfer matrix approach

P. N. Bibikov

Abstract Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg–Ising chain with strong easy-axis anisotropy. All calculations are performed on the ground of the quantum transfer matrix approach. The obtained result agrees with the direct high-temperature expansion. It also agrees with the low-temperature cluster expansion in the special subregime when quantum fluctuations are weak against thermodynamical ones.

arXiv:2109.10446•Journal of Statistical Mechanics Theory and Experiment•Feb 1, 2022•0 citations

The Energy Spectrum and Thermodynamics of Spin-1/2 XX Chain with Ising Impurities

E. V. Ezerskaya

The energy spectrum and peculiarities of field and temperature dependences of the basic thermodynamic characteristics of the finite spin-1/2 XX chain closed by one zz (Ising) bond and open ends XX-chain with two zz-impurities at the both ends have been investigated.

Acta Physica Polonica A•Apr 1, 2017•5 citations

Low Temperature Thermodynamics of Spin-1/2 XX Chains with Periodically Embedded Impurities

E. V. Ezerskaya, Vladyslav O. Cheranovskii

Using standard transfer-matrix scheme, we performed numerical simulation of the field and the temperature dependences of the magnetization and the heat capacity for exactly solvable quantum model based on spin-1/2 XX chain with the periodically embedded Ising spins.

Acta Physica Polonica A•May 1, 2020•1 citation

Correlation length and free energy of theS=1/2XXZchain in a magnetic field

Minoru Takahashi

The correlation length and the free energy of the S=1/2 XXZ chain in a magnetic field in the z direction are calculated with use of a set of equations for a series of infinite numbers. These are derived by the Bethe-ansatz method for the quantum transfer matrix. The equations for free energy should be equivalent to the thermodynamic Bethe-ansatz nonlinear integral equations. A numerical method that calculates precisely the free energy and the correlation length is given.

Physical review. B, Condensed matter•Dec 1, 1991•46 citations

Thermodynamics of the Anisotropic Heisenberg Chain Calculated by the Density Matrix Renormalization Group Method

Naokazu Shibata

The density matrix renormalization group (DMRG) method is applied to the anisotropic Heisenberg chain at finite temperatures. The free energy of the system is obtained using the quantum transfer matrix which is iteratively enlarged in the imaginary time direction. The magnetic susceptibility and the specific heat are calculated down to T=0.01J and compared with the Bethe ansatz results. The agreement including the logarithmic correction in the magnetic susceptibility at the isotropic point is fairly good.

arXiv:cond-mat/9706152•Journal of the Physical Society of Japan•Aug 15, 1997•149 citations
The density matrix renormalization group (DMRG) method is applied to the anisotropic Heisenberg chain at finite temperatures. The free energy of the system is obtained using the quantum transfer matrix which is iteratively enlarged in the imaginary time direction. The magnetic susceptibility and the specific heat are calculated down to T=0.01J and compared with the Bethe ansatz results. The agreement including the logarithmic correction in the magnetic susceptibility at the isotropic point is fairly good.