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

Acta Physica Sinica

INVESTIGATION OF ONE-DIMENSIONAL NNN INTERACTION QUANTUN CHAIN BY CONFORMAL INVA-RIANCE AND THE LANCZOS METHOD

ZHANG HAI-YAN, Xu Bo-wei, 上海交通大学应用物理系

Published Jan 1, 1994• 0 citations
Publisher

Abstract

The energies of the ground state and the lowest-excited states of the one-dime-nsional NNN interaction quantum chain are calculated by using Lanczos method. The a no=nalous dimensions and normalizing constant are given from conformal field theory.
DOI
10.7498/aps.43.864

Related papers

Conformal Invariance and the Lanczos Method Studies of Ashkin–Teller Quantum chain

Haiyan Zhang, Hongru Ma, Bo-Wei Xu

The low-lying energy spectrum of quantum Ashkin–Teller chain in the critical region is calculated by using Lanczos method. According to conformal theory, the scaling dimensions and the normalizing factor are obtained from the energy spectrum.

Communications in Theoretical Physics•Mar 15, 1995•0 citations

Conformal invariance and the Lanczos method studies of a spinning quantum chain

Haiyan Zhang, Hongru Ma, Xu Bo-wei

The low-lying energy spectrum of a spinning quantum chain in the critical region is calculated by using Lanczos method. According to conformal theory, the anomalous dimensions ? and the normalising factor ? are obtained from the energy spectrum. Also a simple derivation of the field theory of the model is given.

Acta Physica Sinica (Overseas Edition)•Mar 1, 1995•0 citations

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

Ye, Ding Ding, Guohui +2 more

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.``

理论物理通讯:英文版•Jan 1, 2001•0 citations

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

CONFORMAL FIELD THEORY OF Z2 SYMMETRIC QUANTUM CHAIN

Xu Bo-wei, 上海交通大学物理系,上海,200030

From the energy spectrum of Z2 symmetric quantum chain with periodic boundary condition, we calculated the central charge and the anomalous scale dimensions of the systems. The results are compatible with the predicfion of the conformal field theory.

Acta Physica Sinica•Jan 1, 1991•0 citations

Compared Study in the Energy Spectra of Ground-state and Excited-state in Small Size Heisenberg Chain with XXZ Quantum Model Presented by Haldane

Xiuxia Zhang

In this paper,the energy spectrum of the ground-state and the excited-state in the model of small size one-dimensional Heisenberg finite chains(n20) was discussed.The Complete Diagonal and Lanczos Iterative method of Hamiltonian matrix are actualized by TITPACK program which designed by Hidetoshi Nishimori.But the finite chain revised method is mainly actualized by MATLAB program.All programs would be given in this paper.The investigative object was small size one-dimensional Heisenberg finite chains(n20),the TITPACK program was used to calculate the eigenvector of ground-state and excited-state|Ψ0〉、|Ψ1〉、|Ψ2〉、|Ψ3〉,the energy eigenvalue of ground-state and excited-state λ0 、λ1、λ2、λ3,the variation relation between and the correlated function of Sx 、Sz and the system Hamilton parameter.Using the finite chain revised method,the error was 0.000 047 2 between calculated and theoretic ground-state eigenvalue.The absolute value of ground-state energy square was inversed ratio the chain length,such as E(n)=-0.443 1-0.848 4/n2,through analyze the result of the program and find the law between the result and the quantity,in the small size one-dimensional Heisenberg finite chains,S=Aexp(-d/B) in the XXZ model.It is completely difference with XXZ Quantum model presented by Haldane.Only some energy spectra were intersected.

Journal of Xinxiang University•Jan 1, 2009•0 citations
In this paper,the energy spectrum of the ground-state and the excited-state in the model of small size one-dimensional Heisenberg finite chains(n20) was discussed.The Complete Diagonal and Lanczos Iterative method of Hamiltonian matrix are actualized by TITPACK program which designed by Hidetoshi Nishimori.But the finite chain revised method is mainly actualized by MATLAB program.All programs would be given in this paper.The investigative object was small size one-dimensional Heisenberg finite chains(n20),the TITPACK program was used to calculate the eigenvector of ground-state and excited-state|Ψ0〉、|Ψ1〉、|Ψ2〉、|Ψ3〉,the energy eigenvalue of ground-state and excited-state λ0 、λ1、λ2、λ3,the variation relation between and the correlated function of Sx 、Sz and the system Hamilton parameter.Using the finite chain revised method,the error was 0.000 047 2 between calculated and theoretic ground-state eigenvalue.The absolute value of ground-state energy square was inversed ratio the chain length,such as E(n)=-0.443 1-0.848 4/n2,through analyze the result of the program and find the law between the result and the quantity,in the small size one-dimensional Heisenberg finite chains,S=Aexp(-d/B) in the XXZ model.It is completely difference with XXZ Quantum model presented by Haldane.Only some energy spectra were intersected.