Simulations on Infinite-Size Lattices

Research output: Contribution to journalArticlepeer-review


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 β = ∞. 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-textgreater0 and ω-textgreater0 can be approached directly. As examples we calculate spectra for the d = 2 Ising model and for Heisenberg quantum spin ladders with two and four legs.
Original languageEnglish
Pages (from-to)5164
Number of pages1
JournalPhysical Review Letters
Issue number22
Publication statusPublished - 2001

Cite this