English

Simulations on Infinite Size Lattices

Statistical Mechanics 2007-05-23 v2 Strongly Correlated Electrons

Abstract

We introduce a Monte Carlo method, as a modification of existing cluster algorithms, which allows simulations directly on systems of infinite size, and for quantum models also at beta=infinity. All two-point functions can be obtained, including dynamical information. When the number of iterations is increased, correlation functions at larger distances become available. Limits q -> 0 and omega -> 0 can be approached directly. As examples we calculate spectra for the d=2 Ising model and for Heisenberg quantum spin ladders with 2 and 4 legs.

Keywords

Cite

@article{arxiv.cond-mat/0008072,
  title  = {Simulations on Infinite Size Lattices},
  author = {H. G. Evertz and W. von der Linden},
  journal= {arXiv preprint arXiv:cond-mat/0008072},
  year   = {2007}
}

Comments

4 pages, 6 figures. Minor modifications

R2 v1 2026-07-22T10:05:20.540Z