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

理论物理通讯：英文版

The Numerical Study of the S = 1/2 XXZ Chain

Ye, Ding Ding, Guohui, Xu, Bowei

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

We adopt the Lanczos method combined with the quantum conformal field theory to investigate the S = 1/2XXZ chain in detail. The bulk-limit ground state energy, the anomalous scaling dimension of the spin operators, theFermi velocity and the zero-temperature susceptibility are numerically calculated. The results agree to the exact solution well.``

Related papers

The Numerical Study of the S = 1/2 XXZ Chain

Fei Ye, Guo-Hui Ding, Xu Bo-wei

We adopt the Lanczos method combined with the quantum conformal field theory to investigate the S = 1/2 XXZ chain in detail. The bulk-limit ground state energy, the anomalous scaling dimension of the spin operators, the Fermi velocity and the zero-temperature susceptibility are numerically calculated. The results agree to the exact solution well.

Communications in Theoretical Physics•Oct 15, 2001•0 citations

Ground State Phase Diagram of the One DimensionalS=1/2XXZ Model with Dimerization and Quadrumerization

Wei Chen, Kazuo Hida

The one dimensional S=1/2 XXZ model with dimerization (1-j) and quadrumerization δis studied by the numerical exact diagonalization of finite size systems. Using the conformal field theory and the level spectroscopy method, we calculate the ground state phase diagram with XY-like anisotropy Δ(0

arXiv:cond-mat/9901195•Journal of the Physical Society of Japan•Aug 15, 1999•4 citations

Boundary susceptibility in the openXXZ-chain

Michael Bortz, Jesko Sirker

In the first part we calculate the boundary susceptibility χ B in the open XXZ -chain at zero temperature and arbitrary magnetic field h by the Bethe ansatz. We present analytical results for the leading terms when | h | ≪ α, where α is a known scale, and a numerical solution for the entire range of fields. In the second part we calculate susceptibility profiles near the boundary at finite temperature T numerically by using the density-matrix renormalization group for transfer matrices and analytically for T ≪ 1 by field theoretical methods. Finally, we compare χ B at finite temperature with a low-temperature asymptotics which we obtain by combining our Bethe ansatz result with recent predictions from bosonization.

arXiv:cond-mat/0501559•Journal of Physics A Mathematical and General•Jun 15, 2005•19 citations

Finite Size XXZ Spin Chain with Anisotropy Parameter Δ= $$ \frac{1} {2} $$

V. Fridkin, Yu. Stroganov, D. Zagier

arXiv:nlin/0010021•Journal of Statistical Physics•Feb 1, 2001•26 citations

Study of the ground state of the one-dimensional Heisenberg spin-1/2 chain

K.R. de Ruiter

We discuss the ground state of the Heisenberg spin-1/2 chain in one dimension, considering nearest neighbor interactions. In the thermodynamic limit the energy is calculated analytically in several ways. We start by applying the Bethe ansatz to calculate the exact ground state energy of the XXX Heisenberg model. Next we study small perturbations of the spin anisotropy, the parameter for the interaction in the z-direction for the XXZ model, by applying time-independent perturbation theory. In addition we expand an exact integral expression of the energy of the XXZ model around the spin anisotropy in the thermodynamic limit. The results are compared to numerical solutions, which are obtained by means of exact diagonalization up to twelve lattice sites. We find that for ten or more lattice sites the numerics agree well with the expectation from the analytical calculations. Finally the concept of integrability is discussed in the context of the Heisenberg model.

•Jan 1, 2018•0 citations

Numerical study of antiferromagnetic Heisenberg chains for spin S = ½, using the Lanczos method

Djalma Medeiros, G. G. Cabrera

Journal of Magnetism and Magnetic Materials•Feb 1, 1992•0 citations
We adopt the Lanczos method combined with the quantum conformal field theory to investigate the S = 1/2XXZ chain in detail. The bulk-limit ground state energy, the anomalous scaling dimension of the spin operators, theFermi velocity and the zero-temperature susceptibility are numerically calculated. The results agree to the exact solution well.``
In the first part we calculate the boundary susceptibility χ B in the open XXZ -chain at zero temperature and arbitrary magnetic field h by the Bethe ansatz. We present analytical results for the leading terms when | h | ≪ α, where α is a known scale, and a numerical solution for the entire range of fields. In the second part we calculate susceptibility profiles near the boundary at finite temperature T numerically by using the density-matrix renormalization group for transfer matrices and analytically for T ≪ 1 by field theoretical methods. Finally, we compare χ B at finite temperature with a low-temperature asymptotics which we obtain by combining our Bethe ansatz result with recent predictions from bosonization.
Finite Size XXZ Spin Chain with Anisotropy Parameter Δ= 12 \frac{1} {2} 21​
We discuss the ground state of the Heisenberg spin-1/2 chain in one dimension, considering nearest neighbor interactions. In the thermodynamic limit the energy is calculated analytically in several ways. We start by applying the Bethe ansatz to calculate the exact ground state energy of the XXX Heisenberg model. Next we study small perturbations of the spin anisotropy, the parameter for the interaction in the z-direction for the XXZ model, by applying time-independent perturbation theory. In addition we expand an exact integral expression of the energy of the XXZ model around the spin anisotropy in the thermodynamic limit. The results are compared to numerical solutions, which are obtained by means of exact diagonalization up to twelve lattice sites. We find that for ten or more lattice sites the numerics agree well with the expectation from the analytical calculations. Finally the concept of integrability is discussed in the context of the Heisenberg model.