Evidence for a phase transition in the zero-temperature anisotropic two-dimensional Heisenberg antiferromagnet

Journal Article · Wed Mar 01 04:00:00 EST 1989 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.39.4357· OSTI ID:6340074

Barnes, T; Kotchan, D; Swanson, E S

We describe a Monte Carlo study of the ground state of of the two-dimensional anisotropic Heisenberg antiferromagnet. Values of the energy per spin and the rms z-italic-circumflex-staggered magnetization are determined for a range of transverse couplings. At zero temperature the isotropic point g = 1 apparently separates two phases having nonzero and zero z-italic-circumflex-staggered magnetization for g<1 and g>1, respectively. This may imply that the isotropic Heisenberg antiferromagnet is unsuitable as a model of the precursor insulators of the high-temperature superconductors. We also compare our results with previous conjectures regarding the ground state of the anisotropic system.

• Research Organization: Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7
• OSTI ID: 6340074
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 39:7; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
656100 -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
ANISOTROPY
ANTIFERROMAGNETIC MATERIALS
CRYSTAL MODELS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
HEISENBERG MODEL
MAGNETIC MATERIALS
MAGNETIZATION
MATERIALS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SUPERCONDUCTIVITY
TWO-DIMENSIONAL CALCULATIONS