Asymptotics of Bordered Toeplitz Determinants and Next-to-Diagonal Ising Correlations

We prove the analogue of the strong Szegő limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang and Perk (Physica A 144:44–104, 1987) for the next-to-diagonal correlations ⟨ σ 0 , 0 σ N - 1 , N ⟩ in the square lattice Isin...

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Veröffentlicht in:	Journal of statistical physics 2022-04, Vol.187 (1), Article 8
Hauptverfasser:	Basor, Estelle, Ehrhardt, Torsten, Gharakhloo, Roozbeh, Its, Alexander, Li, Yuqi
Format:	Artikel
Sprache:	eng
Schlagworte:	Anisotropy Asymptotic properties Correlation Ising model Long range order Low temperature Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical
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