Dimer Correlarions in Spin-1/2 Alternating XY Chain

TL;DR

This paper analyzes the long-distance behavior of dimer correlations in a spin-1/2 alternating XY chain at low temperatures, revealing both long-range order and exponential decay components.

Contribution

It provides a detailed analysis of the asymptotic behavior of dimer correlations, highlighting the distinction between long-range order and decay in the model.

Findings

Dimer correlations exhibit both long-range order and exponential decay.

The decaying part of correlations is consistent regardless of spin pair choice.

Long-range order varies with the specific spin pairs selected.

Abstract

We investigate the long-distance asymptotic behavior of the dimer correlations in the spin-1/2 alternating $XY$chain both at T=0 and at sufficiently low-temperatures. The correlations consist of the dimer long-range order part and the exponentially decaying one. Although the dimer long-range order takes the different values depending on the choice of the spin pairs, the behavior in the decaying term is same irrespective of the choice of spin pairs.