Low temperature series expansions for the square lattice Ising model with spin S > 1

Дата и время публикации : 1996-04-15T00:51:56Z

Авторы публикации и институты :
I Jensen
A J Guttmann
I G Enting

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 14 pages, LaTeX with IOP style files (ioplppt.sty), epic.sty and eepic.sty. To appear in J. Phys. A
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: We derive low-temperature series (in the variable $u = exp[-beta J/S^2]$) for the spontaneous magnetisation, susceptibility and specific heat of the spin-$S$ Ising model on the square lattice for $S=frac32$, 2, $frac52$, and 3. We determine the location of the physical critical point and non-physical singularities. The number of non-physical singularities closer to the origin than the physical critical point grows quite rapidly with $S$. The critical exponents at the singularities which are closest to the origin and for which we have reasonably accurate estimates are independent of $S$. Due to the many non-physical singularities, the estimates for the physical critical point and exponents are poor for higher values of $S$, though consistent with universality.

Category: Physics