Initial perpendicular isothermal susceptibility formulas for the transverse general-spin Ising and Blume-Capel models

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

DOI:https://doi.org/10.1007/BF01013375· OSTI ID:6194616

Frank, B; Elofer, M

Using a Kubo formula and the Suzuki identities, expressions are derived for the initial perpendicular susceptibilities /sub X perpendicular to/ of the transverse spin-S Ising and spin-S Blume-Capel models on regular and irregular lattices. /sub X perpendicular to/ is given in terms of the thermal average of a function of the peripheral sum O/sub i/ = ..sigma../sub j/J/sub ij/S/sub j/, where coupling to distant neighbors may be included, as well as arbitrary local parallel magnetic fields h/sub j/. For the Ising model on a Bravais lattice, e.g., the susceptibility is given by. /sub X perpendicular to/ = Nm/sub 2/S/sup -2/ where B/sub S/ is the Brillouin function. For S = 1/2, the formula of Fisher and the results of Horiguchi and Morita are regained. A connection is made with the general-spin work of Essam and Garelick.

• Research Organization: Concordia Univ., Montreal, Quebec
• OSTI ID: 6194616
• 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
CRYSTAL MODELS
MAGNETIC SUSCEPTIBILITY
SPIN
BRILLOUIN THEOREM
CRYSTAL LATTICES
HAMILTONIANS
ISING MODEL
ISOTHERMS
J-J COUPLING
KUBO FORMULA
PROJECTION OPERATORS
QUANTUM MECHANICS
ANGULAR MOMENTUM
COUPLING
CRYSTAL STRUCTURE
INTERMEDIATE COUPLING
MAGNETIC PROPERTIES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM OPERATORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics