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Phys. Rev. Lett. 86, 5164–5167 (2001)

Simulations on Infinite-Size Lattices

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H. G. Evertz and W. von der Linden
Institut für Theoretische Physik, Technische Universität Graz, 8010 Graz, Austria

Received 4 August 2000; published in the issue dated 28 May 2001

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→0 and ω→0 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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.5164
DOI:
10.1103/PhysRevLett.86.5164
PACS:
75.10.Jm, 05.50.+q