Monte Carlo investigation of the resonating-valence-bond ground state and a lattice statistical model

Journal Article · Sat Oct 01 04:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.6855· OSTI ID:6790822

Sutherland, B

We have suggested that the properties of the resonating-valence-bond (RVB) ground state can usefully be studied first by a correspondence with a lattice statistics model, and second by embedding this RVB point into a larger family of lattice statistical models: the loop gas. The nature of this loop gas: correlations, phase transitions, and order parameters: is studied in this paper by means of Monte Carlo techniques, on lattices of up to 4608 sites or 9216 bonds. An ordered phase is identified with divergent susceptibility and an order parameter which has the topology of a circle. Since the model is two dimensional, the phase transition is expected to be of Kosterlitz-Thouless (KT) type. The RVB point is within this ordered KT phase.

• Research Organization: Department of Physics, University of Utah, Salt Lake City, Utah 84112
• OSTI ID: 6790822
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 38:10; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATHEMATICAL MODELS
MONTE CARLO METHOD
PHYSICAL PROPERTIES
SUPERCONDUCTIVITY
SUPERCONDUCTORS