Phase transitions in the uniformly frustrated {ital XY} model with frustration parameter {ital f}=1/3 studied with use of the microcanonical Monte Carlo technique

Journal Article · Fri Sep 01 00:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.52.6706· OSTI ID:115828

Lee, S; Lee, K ^[1]

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1. Department of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-742 (Korea, Republic of)

We study the phase transition of the frustrated {ital XY} model in the square lattice with frustration {ital f}=1/3. The system has a discrete {ital Z}{sub 3}{times}{ital Z}{sub 2} symmetry and a continuous U(1) symmetry. We study the system via the microcanonical Monte Carlo technique. We have found that the system has three kinds of phase transitions. At the temperature 0.208{ital J}/{ital k}{sub {ital B}}, the system has a Kosterlitz-Thouless transition with a larger-than-universal jump in the helicity modulus. At the temperature 0.215{ital J}/{ital k}{sub {ital B}}, the system has a vortex-lattice melting transition related to discrete {ital Z}{sub 2} symmetry. At some higher temperature 0.219{ital J}/{ital k}{sub {ital B}}, the system has a second-order vortex-lattice melting transition related to {ital Z}{sub 3} symmetry. It is also found that the second transition gives a weak anomaly of the specific heat while the third transition gives rise to the divergence in the specific heat.

• OSTI ID: 115828
• Journal Information: Physical Review, B: Condensed Matter, Vol. 52, Issue 9; Other Information: PBD: 1 Sep 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRYSTAL MODELS
PHASE TRANSFORMATIONS
MAGNETIC PROPERTIES
TYPE-II SUPERCONDUCTORS
MONTE CARLO METHOD
SQUARE CONFIGURATION
CRYSTAL LATTICES
SPECIFIC HEAT
TRANSITION TEMPERATURE
TEMPERATURE DEPENDENCE
ORDER PARAMETERS
KOSTERLITZ-THOULESS THEORY
DIELECTRIC TENSOR
MAGNETIZATION
MAGNETIC SUSCEPTIBILITY