Monte Carlo solution of antiferromagnetic quantum Heisenberg spin systems
- 1 August 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 30 (3) , 1599-1602
- https://doi.org/10.1103/physrevb.30.1599
Abstract
A Monte Carlo method is introduced that overcomes the problem of alternating signs in Handscomb's method of simulating antiferromagnetic quantum Heisenberg systems. The scheme is applied to both bipartite and frustrated lattices. Results of internal energy, specific heat, and uniform and staggered susceptibilities are presented suggesting that quantum antiferromagnets may now be studied as extensively as classical spin systems using conventional Monte Carlo techniques.Keywords
This publication has 6 references indexed in Scilit:
- Monte Carlo studies of one-dimensional quantum Heisenberg andmodelsPhysical Review B, 1983
- Monte Carlo Simulation of Quantum Spin SystemsPhysical Review Letters, 1982
- Quantum-Statistical Monte Carlo Method for Heisenberg SpinsPhysical Review Letters, 1982
- Two-level systems in a spin-glass model. I. General formalism and two-dimensional modelJournal of Physics C: Solid State Physics, 1977
- Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin CorrelationsProgress of Theoretical Physics, 1976
- The Monte Carlo method in quantum statistical mechanicsMathematical Proceedings of the Cambridge Philosophical Society, 1962