Fisher-Hartwig conjecture and the correlators in XY spin chain
An.A.Ovchinnikov
TL;DR
This paper uses Toeplitz determinant theorems to analyze the asymptotic behavior of correlators in the XY spin chain, including the special case of the XX chain in a magnetic field.
Contribution
It applies advanced mathematical theorems to derive asymptotics of correlators in XY and XX spin chains, providing new analytical results.
Findings
Asymptotic formulas for correlators in XY spin chain
Asymptotics of correlators in XX spin chain in magnetic field
Application of Toeplitz determinant theory to quantum spin models
Abstract
We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of the correlators in the XY spin chain in the transverse magnetic field. The asymptotics of the correlators for the XX spin chain in the magnetic field are obtained.
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