Ground-state properties of the three-dimensional Ising spin glass

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.16444· OSTI ID:6817606

Berg, B A ^[1]; Hansmann, U E ^[2]; Celik, T ^[3]

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1. Department of Physics, The Florida State University, Tallahassee, Florida 32306 (United States) Supercomputer Computations Research Institute, Tallahassee, Florida 32306 (United States)
2. Supercomputer Computations Research Institute, Tallahassee, Florida 32306 (United States)
3. Department of Physics, Hacettepe University, Ankara (Turkey)

We study zero-temperature properties of the three-dimensional Edwards-Anderson Ising spin glass on finite lattices up to size 12[sup 3]. Using multicanonical sampling we generate large numbers of ground-state configurations in thermal equilibrium. Finite-size scaling fits of the data are carried out for two hypothetical scenarios: Parisi mean-field theory versus a droplet scaling ansatz. With a zero-temperature scaling exponent [ital y]=0.72[plus minus]0.12 the data are well described by the droplet scaling ansatz. Alternatively, a description in terms of the Parisi mean-field behavior is still possible. The two scenarios give significantly different predictions on lattices of size [ge]12[sup 3].

• DOE Contract Number: FG05-87ER40319; FG05-85ER25000
• OSTI ID: 6817606
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:22; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
ENERGY LEVELS
GROUND STATES
ISING MODEL
MATHEMATICAL MODELS
MEAN-FIELD THEORY
NUMERICAL SOLUTION
SCALING
SPIN GLASS STATE
TEMPERATURE ZERO K
THREE-DIMENSIONAL CALCULATIONS