Study of an Ising model with competing long- and short-range interactions

Journal Article · Mon Mar 21 04:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.1918· OSTI ID:5011068

Loew, U; Emery, V J ^[1]; Fabricius, K ^[2]; Kivelson, S A ^[3]

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1. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
2. Department of Physics, University of Wuppertal, 42097 Wuppertal (Germany)
3. Department of Physics, University of California, Los Angeles, California 90024 (United States)

A classical spin-one lattice gas model is used to study the competition between short-range ferromagnetic coupling and long-range antiferromagnetic Coulomb interactions. The model is a coarse-grained representation of frustrated phase separation in high-temperature superconductors. The ground states are determined for the complete range of parameters by using a combination of numerical and analytical techniques. The crossover between ferromagnetic and antiferromagnetic states proceeds via a rich structure of highly symmetric striped and checkerboard phases. There is no devil's staircase behavior because mixtures of stripes with different period phase separate.

• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5011068
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:12; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIFERROMAGNETISM
COULOMB FIELD
CRYSTAL MODELS
DIAGRAMS
ELECTRIC FIELDS
EXCHANGE INTERACTIONS
FERROMAGNETISM
INTERACTIONS
ISING MODEL
MAGNETISM
MATHEMATICAL MODELS
MECHANICS
PHASE DIAGRAMS
STATISTICAL MECHANICS