Time-Dependent Behavior of the Spin-½ Anisotropic Heisenberg Model in Infinite Lattice Dimensions

Time-Dependent Behavior of the Spin-½ Anisotropic Heisenberg Model in Infinite Lattice Dimensions

The spin van der Waals model may be regarded as an infinite- lattice dimensional limit of the spin-(1/2) anisotropic Heisenberg model. By solution of the generalized Langevin equation, time-dependent behavior is obtained. The geometry of realized Hilbert spaces lends a simple interpretation for crit...

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Veröffentlicht in:Phys. Rev. Lett.; (United States) 1984-04, Vol.52 (18), p.1579-1582
Hauptverfasser: Lee, M. Howard, Kim, I. M., Dekeyser, Raf
Format: Artikel
Sprache:eng
Schlagworte:
656000 > Condensed Matter Physics
ANGULAR MOMENTUM
ANISOTROPY
BANACH SPACE
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
CRYSTAL MODELS
EQUATIONS
FUNCTIONS
HEISENBERG MODEL
HILBERT SPACE
ISING MODEL
LANGEVIN EQUATION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
PARTICLE PROPERTIES
SPACE 657006 > Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
SPIN
STATISTICAL MECHANICS
TIME DEPENDENCE
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Zusammenfassung:The spin van der Waals model may be regarded as an infinite- lattice dimensional limit of the spin-(1/2) anisotropic Heisenberg model. By solution of the generalized Langevin equation, time-dependent behavior is obtained. The geometry of realized Hilbert spaces lends a simple interpretation for critical dynamics.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.52.1579