Susceptibility of the transverse field Ising model on the square lattice

2011/01/26 by А. Кашуба, Kashuba, A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1101.5077

openalex publication_date 2011/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Susceptibility of the transverse field Ising model on the square lattice is calculated numerically in the paramagnetic phase in a wide range of temperatures and transverse fields. An expression with one constant π, that determines both the critical exponent γ and the critical transverse field, compellingly represents the data asymptotically near the quantum critical point, except for a narrow classical region close to the phase transition line, and shows two crossovers as temperature varies.

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