Quantum Monte Carlo scheme for frustrated Heisenberg antiferromagnets
arXiv:cond-mat/0611550 · doi:10.1103/PhysRevB.75.174421
Abstract
When one tries to simulate quantum spin systems by the Monte Carlo method, often the 'minus-sign problem' is encountered. In such a case, an application of probabilistic methods is not possible. In this paper the method has been proposed how to avoid the minus sign problem for certain class of frustrated Heisenberg models. The systems where this method is applicable are, for instance, the pyrochlore lattice and the Heisenberg model. The method works in singlet sector. It relies on expression of wave functions in dimer (pseudo)basis and writing down the Hamiltonian as a sum over plaquettes. In such a formulation, matrix elements of the exponent of Hamiltonian are positive.
arXiv comment19 LaTeX pages, 6 figures, 1 table
References in corpus (14)
- Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
- The temperature-flow renormalization group and the competition between superconductivity and ferromagnetism
- Geometric Aspects of Quantum Spin States
- Ferromagnetism in the two dimensional t-t' Hubbard model at the Van Hove density
- The sign problem in Monte Carlo simulations of frustrated quantum spin systems
- Quantum phase transition in spin-3/2 systems on the hexagonal lattice - optimum ground state approach
- Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
- Magnets with strong geometric frustration
- Ground state properties of a fully frustrated quantum spin system
- Correlations and confinement in non-planar two-dimensional dimer models
- Mott transition in lattice boson models
- The two-dimensional t-t'-U model as a minimal model for cuprate materials
- Singlets and reflection symmetric spin systems
- Some properties of frustrated spin systems: extensions and applications of Lieb-Schupp approach