Invariant geometry of spin-glass states

Invariant geometry of spin-glass states

We study how the geometry of spin-glass states changes under redefinitions of the metric. We show that in mean-field theory the property of ultrametricity is robust. We present numerical evidence suggesting that in the more realistic D = 2 and D = 3 spin-glass models a stronger result may hold, name...

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Veröffentlicht in:Phys. Rev. B: Condens. Matter; (United States) 1987-02, Vol.35 (4), p.1965-1968
Hauptverfasser: ATHANASIU, G. G, BACHAS, C. P, WOLFF, W. F
Format: Artikel
Sprache:eng
Schlagworte:
656000 - Condensed Matter Physics
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Critical-point effects, specific heats, short-range order
Exact sciences and technology
GEOMETRY
HAMILTONIANS
INVARIANCE PRINCIPLES
Magnetic properties and materials
MAGNETIZATION
MATHEMATICAL OPERATORS
MATHEMATICS
METRICS
Physics
QUANTUM OPERATORS
SPIN GLASS STATE
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Zusammenfassung:We study how the geometry of spin-glass states changes under redefinitions of the metric. We show that in mean-field theory the property of ultrametricity is robust. We present numerical evidence suggesting that in the more realistic D = 2 and D = 3 spin-glass models a stronger result may hold, namely that the choice of metric is to a large extent unique.
ISSN:0163-1829
1095-3795
DOI:10.1103/PhysRevB.35.1965