Simulations on Infinite-Size Lattices

H. G. Evertz, W. von der Linden
2001 Physical Review Letters  
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
more » ... model and for Heisenberg quantum spin ladders with 2 and 4 legs.
doi:10.1103/physrevlett.86.5164 pmid:11384447 fatcat:dbyj5llmfbfgbkxqu2pcxsv62y