Quantum Monte Carlo Study on Magnetization Processes

Abstract

A quantum Monte Carlo method combining update of the loop algorithm with the global flip of the world line is proposed as an efficient method to study the magnetization process in an external field, which has been difficult because of inefficiency of the update of the total magnetization. The method is demonstrated in the one dimensional antiferromagnetic Heisenberg model and the trimer model. We attempted various other Monte Carlo algorithms to study systems in the external field and compared their efficiency.

5 pages, 9 figures; added references for section 1, corrected typos

Cited by in corpus (5)

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• Field-induced XY behavior in the S=1/2 antiferromagnet on the square lattice
• Local magnetic structure due to inhomogeneity of interaction in S=1/2 antiferromagnetic chain
• Magnetization profiles and NMR spectra of doped Haldane chains at finite temperatures
• Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction