Critical behavior of the Ising model with mixed two- and three-spin interactions

Journal Article · Sun Feb 01 00:00:00 EST 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01013367· OSTI ID:6453652

Alcaraz, F C; Barber, M N

A study is made of a two-dimensional Ising model with staggered three-spin interactions in one direction and two-spin interactions in the other. The phase diagram of the model and its critical behavior are explored by conventional finite-size scaling and by exploiting relations between mass gap amplitudes and critical exponents predicted by conformal invariance. The model is found to exhibit a line of continuously varying critical exponents, which bifurcates into two Ising critical lines. This similarity of the model with Ashkin-Teller model leads to a conjecture for the exact critical indices along the nonuniversal critical curve. Earlier contradictions about the university class of the uniform (isotropic) case of the model are clarified.

• Research Organization: Australian National Univ., Canberra
• OSTI ID: 6453652
• Journal Information: J. Stat. Phys.; (United States), Vol. 46:3/4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
J-J COUPLING
PHASE DIAGRAMS
SCALING LAWS
ANOMALOUS DIMENSION
BOUNDARY CONDITIONS
CONFORMAL INVARIANCE
CRYSTAL LATTICES
DOMAIN STRUCTURE
FERROMAGNETISM
GROUND STATES
HAMILTONIANS
PAULI SPIN OPERATORS
QUANTUM MECHANICS
RENORMALIZATION
SPIN
STATISTICAL MECHANICS
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
COUPLING
CRYSTAL MODELS
CRYSTAL STRUCTURE
DIAGRAMS
ENERGY LEVELS
INTERMEDIATE COUPLING
INVARIANCE PRINCIPLES
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SCALE DIMENSION
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics