https://doi.org/10.1007/s100510051130
Zero-temperature TAP equations for the Ghatak-Sherrington model
1
Departamento de Física,
Teórica e Experimental,
Universidade Federal do Rio Grande do Norte,
Campus Universitário, C.P. 1641,
59072-970 Natal RN, Brazil
2
Departamento de Ciências Naturais,
Universidade Estadual do Rio Grande do Norte,
59610-210 Mossoró RN, Brazil
Received:
25
November
1999
Published online: 15 May 2000
The zero-temperature TAP equations for the spin-1 Ghatak-Sherrington model are investigated. The spin-glass energy density (ground state) is determined as a function of the anisotropy crystal field D for a large number of spins. This allows us to locate a first-order transition between the spin-glass and paramagnetic phases within a good accuracy. The total number of solutions is also determined as a function of D.
PACS: 05.70.-a – Thermodynamics / 64.60.-i – General studies of phase transitions / 75.10.-b – General theory and models of magnetic ordering
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000