The spin-1/2 transverse XX chain with regularly alternating bonds and fields

TL;DR

This paper investigates the thermodynamic properties of a nonuniform spin-1/2 XY chain with alternating bonds and fields, analyzing how magnetic field and randomness affect spin-Peierls dimerization using continued fractions.

Contribution

It introduces a continued fraction approach to study the effects of periodic nonuniformity and randomness on the XY chain's thermodynamics and spin-Peierls transition.

Findings

Magnetic field influences dimerization stability.

Randomness modifies thermodynamic behavior.

Continued fractions effectively analyze nonuniform chains.

Abstract

We use continued fractions for a study of the thermodynamic properties of the periodic nonuniform spin-1/2 isotropic XY chain in a non-random/random (Lorentzian) transverse field. The obtained results permit to examine the influence of a magnetic field and randomness on the spin-Peierls dimerization.