Ground-state properties of the two-dimensional antiferromagnetic Heisenberg model
- 1 February 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (4), 2484-2493
- https://doi.org/10.1103/physrevb.39.2484
Abstract
The ground-state energy, staggered magnetization, and correlation function are computed for the two-dimensional spin-(1/2 quantum antiferromagnetic Heisenberg model (believed to be relevant to the high-temperature superconducting materials without doping) on lattices up to 24×24 by Monte Carlo methods extrapolated to zero temperature. A more accurate value for the ground-state energy is determined by the method of Neumann and Ulam by extrapolating from lattices up to 12×12.Keywords
This publication has 28 references indexed in Scilit:
- Valence bond ground states in isotropic quantum antiferromagnetsCommunications in Mathematical Physics, 1988
- Antisymmetric exchange and its influence on the magnetic structure and conductivity ofCuPhysical Review B, 1988
- Low-temperature behavior of two-dimensional quantum antiferromagnetsPhysical Review Letters, 1988
- Long-range correlations in the two-dimensional spin-(1/2 antiferromagnetic Heisenberg model: A quantum Monte Carlo studyPhysical Review Letters, 1988
- Antiferromagnetism inPhysical Review Letters, 1987
- New results on Trotter-like approximationsPhysical Review B, 1986
- General correction theorems on decomposition formulae of exponential operators and extrapolation methods for quantum Monte Carlo simulationsPhysics Letters A, 1985
- First-order transitions breaking O(n) symmetry: Finite-size scalingPhysical Review B, 1985
- Phase transitions in quantum spin systems with isotropic and nonisotropic interactionsJournal of Statistical Physics, 1978
- Two soluble models of an antiferromagnetic chainAnnals of Physics, 1961