Simulations on Infinite Size Lattices

Details Simulations on Infinite Size Lattices Simulations on Infinite Size Lattices

2000-08-04

arxiv.org/abs/cond-mat/0008072v2

Phys. Rev. Lett. 86, 5164 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 6 figures. Minor modifications

Scientific paper

10.1103/PhysRevLett.86.5164

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.

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