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

TL;DR

This paper investigates how the ground state energy scales with the number of rungs in quasi-rung-dimerized spin ladders, providing perturbative formulas based on a reference rung-dimerized model.

Contribution

It introduces explicit perturbative formulas for ground state energy and gas parameters in large N spin ladders with slight rung-dimerization disruption.

Findings

Derived perturbative formulas for three classes of ladders

Analyzed ground state energy scaling with N

Provided a framework for understanding rung-dimerization effects

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.