Momentum-space Monte Carlo renormalization-group procedure

Journal Article · Sun Sep 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.4314· OSTI ID:5243356

Muenger, E P ^[1]; Novotny, M A ^[2]

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1. Department of Physics and Measurement Technology, Linkoeping Institute of Technology, S-58183 Linkoeping (Sweden) Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida (USA)
2. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida (USA)

We implement a momentum-space renormalization-group procedure into the Monte Carlo renormalization-group (MCRG) method. Usually the symmetries of the system must be known and incorporated into the renormalization group, but here we let the renormalization group be given by the Monte Carlo simulation itself. This allows the MCRG method to be applicable to systems where the underlying symmetries may not be known, such as in Monte Carlo studies of quantum systems. As a test of this method, we apply it to the study of the two-dimensional square-lattice {ital q}-state Potts model, both for integer values of {ital q} and for noninteger values of {ital q} near {ital q}=4.

• DOE Contract Number: FC05-85ER25000
• OSTI ID: 5243356
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:9; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
MONTE CARLO METHOD
RENORMALIZATION
SYMMETRY