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

Progress of Theoretical Physics

Off-Diagonal Induction of Short-Range Order: Spin Pair Correlation of the Quantum XXZ-Model

Shigeo Homma, H. Matsuda, T. Horiki, N. Ogita

Published Oct 1, 1988• 1 citation
Publisher

Abstract

The z-component spin pair corelation Cz(r) of the one-dimensional quantum XXZ-model is calculated by the decoupled cell Monte Carlo method. At higher temperatures |Cz(1)| increases with increasing off-diagonal coupling constant Jx, whereas Cz(2) always decreases with Jx. Concept of off-diagonal induction of short-range order is introduced and discussed.

DOI
10.1143/ptp.80.594

Related papers

Decoupled Cell Monte Carlo Method for Quantum Spin Systems on Linear Chain and on Triangular Lattice

Shigeo Homma, Kazuhiro Sano, Hirotsugu Matsuda +1 more

Decoupled cell method is introduced as a method of Monte Carlo simulation for quantum spin systems. Based on this method we calculated the thermodynamic quantities such as an internal energy, in-plane and out-of-plane susceptibilities and spin-spin correlation functions in one dimensional XY model. The agreement with the exact results is excellent above a certain demarcation temperature. This method is also applied to the antiferromagnetic Heisenberg model on the triangular lattice. The results indicate the existence of a sublattice structure composed of three sublattices, although its spatial and temporal behaviours are short ranged.

Progress of Theoretical Physics Supplement•Jan 1, 1986•9 citations

Short-Range Spin Pair Correlation in the One-Dimensional Quantum XXZ Model

T. Horiki, Shigeo Homma, Hirotsugu Matsuda +1 more

The spin pair correlation function Ca(r) of the one-dimensional quantum XXZ model (s=1/2) defined by with a=x and z is calculated for the nearest

Progress of Theoretical Physics•Sep 1, 1989•3 citations

Monte Carlo Simulation for Quantum Spin Systems

Shigeo Homma, H. Matsuda, N. Ogita

A Simple Monte Carlo simulation is proposed, which we call decoupled cell method, for equilibrium states of quantum spin systems. In one-dimensional XY-model, the result of this simulation is found to give a good approximation for the internal energy at any temperature. A discussion is given of a possibile range of applicability of this method.

Progress of Theoretical Physics•Dec 1, 1984•15 citations

Thermodynamic Properties of Antiferromagnetic QuantumXY-Model on the Triangular Lattice

Shigeo Homma, Hirotsugu Matsuda, N. Ogita +1 more

Thermodynamic properties of antiferromagnetic quantum X Y -model ( s =1/2) on a triangular lattice are studied by the Decoupled Cell Monte Carlo Method (DCM). The decoupled cell (DC) used in this study consists of 7 spins. The size N of systems are 15 * 15, 30 * 30, 45 * 45, respectively. Detailed studies of spin pair correlation functions for both x - and z -components are performed at various temperatures. The results suggest that the existence of the shortrange three sublattice structure. The mean square magnetization of a sublattice for the x -component does not depend on N , whereas that of the z -component shows a strong dependence on N below a certain temperature.

Journal of the Physical Society of Japan•Mar 15, 1993•2 citations

Decoupled Cell Method Monte Carlo Simulation for Quantum Spin Systems

Shigeo Homma, H. Matsuda, N. Ogita

The internal energy and perpendicular susceptibility of the one-dimentional XY-model are calculated by the decoupled cell method Monte Carlo simulation for quantum systems. Above a cenrain demarcation temperature depending on the cell size the agreement with the exact result is excellent, whereas below it the result of simulation becomes unreliable.

Progress of Theoretical Physics•May 1, 1986•19 citations

Quantum Monte Carlo Simulation of the Spin 1/2XXZModel on the Square Lattice

Yutaka Okabe, Macoto Kikuchi

We systematically study the spin 1/2 quantum XXZ model on the square lattice using a quantum Monte Carlo method. The temperature dependence of the energy, specific heat and order parameter is calculated for the systems of sizes up to 16×16. Investigating the size dependence carefully, we exarnine the ground-state energy and the existence of the long-range order.

Journal of the Physical Society of Japan•Dec 15, 1988•107 citations
The z-component spin pair corelation Cz(r) of the one-dimensional quantum XXZ-model is calculated by the decoupled cell Monte Carlo method. At higher temperatures |Cz(1)| increases with increasing off-diagonal coupling constant Jx, whereas Cz(2) always decreases with Jx. Concept of off-diagonal induction of short-range order is introduced and discussed.
Decoupled cell method is introduced as a method of Monte Carlo simulation for quantum spin systems. Based on this method we calculated the thermodynamic quantities such as an internal energy, in-plane and out-of-plane susceptibilities and spin-spin correlation functions in one dimensional XY model. The agreement with the exact results is excellent above a certain demarcation temperature. This method is also applied to the antiferromagnetic Heisenberg model on the triangular lattice. The results indicate the existence of a sublattice structure composed of three sublattices, although its spatial and temporal behaviours are short ranged.
Thermodynamic properties of antiferromagnetic quantum X Y -model ( s =1/2) on a triangular lattice are studied by the Decoupled Cell Monte Carlo Method (DCM). The decoupled cell (DC) used in this study consists of 7 spins. The size N of systems are 15 * 15, 30 * 30, 45 * 45, respectively. Detailed studies of spin pair correlation functions for both x - and z -components are performed at various temperatures. The results suggest that the existence of the shortrange three sublattice structure. The mean square magnetization of a sublattice for the x -component does not depend on N , whereas that of the z -component shows a strong dependence on N below a certain temperature.