Eur. Phys. J. B 26, 89-99 (2002)
https://doi.org/10.1140/epjb/e20020070

Renormalization group treatment of the scaling properties of finite systems with subleading long-range interaction

¹ Institute of Solid State Physics - BAS, Tzarigradsko chaussée 72, 1784 Sofia, Bulgaria
² Institute of Mechanics - BAS, Acad. G. Bonchev St. bl. 4, 1113 Sofia, Bulgaria

Corresponding author: ^a danield@bgcict.acad.bg

Received: 8 August 2001
Published online: 15 March 2002

Abstract

The finite size behavior of the susceptibility, Binder cumulant and some even moments of the magnetization of a fully finite O(n) cubic system of size L are analyzed and the corresponding scaling functions are derived within a field-theoretic ε-expansion scheme under periodic boundary conditions. We suppose a van der Waals type long-range interaction falling apart with the distance r as , where , which does not change the short-range critical exponents of the system. Despite that the system belongs to the short-range universality class it is shown that above the bulk critical temperature T_c the finite-size corrections decay in a power-in-L, and not in an exponential-in-L law, which is normally believed to be a characteristic feature for such systems.