Eur. Phys. J. B (2013) 86: 174
https://doi.org/10.1140/epjb/e2013-30839-3

Regular Article

On the ground state energy scaling in quasi-rung-dimerized spin ladders

Saint-Petersburg State University, Ulyanovskaya 1, Petrodvorets, 198504 Saint-Petersburg, Russia

^a e-mail: bibikov@PB7855.spb.edu

Received: 13 September 2012
Received in final form: 3 December 2012
Published online: 22 April 2013

Abstract

On the basis of periodic boundary conditions we study perturbatively a large N asymptotics (N is the number of rungs) for the ground state energy density and gas parameter of a spin ladder with slightly destroyed rung-dimerization. Exactly, rung-dimerized spin ladder is treated as the reference model. Explicit perturbative formulas are obtained for three special classes of spin ladders.