Open AccessFinite-size scaling and bulk critical behavior of a quantum spherical model with a long-range interaction: entropy, internal energy and specific heat
Author(s) -
N. P. Nedev,
E. S. Pisanova
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1762/1/012016
Subject(s) - scaling , internal energy , asymptote , physics , critical exponent , quantum , entropy (arrow of time) , quantum critical point , critical point (mathematics) , quantum phase transition , statistical physics , quantum mechanics , thermodynamics , phase transition , mathematics , mathematical analysis , geometry
The entropy, the internal energy and the specific heat of a d -dimensional quantum spherical model with a long-range interaction, the decreasing of which is controlled by a parameter σ (0 < σ ≤ 2), are studied close to its quantum critical point in the context of the finite-size scaling (FSS) theory for d = σ . The obtained specific heat critical exponent σ does not depend on σ and satisfies the quantum hyperscaling relation. Based on the derived FSS forms and asymptotes of the universal scaling functions of the considered quantities, the leading temperature dependencies of the entropy, the internal energy and the specific heat are obtained in both the renormalized classical and the quantum disordered regions of the phase diagram. It has been shown that when the temperature T → +0, the entropy and the specific heat in the renormalized classical region tend to zero as powers of T , while in the quantum disordered region they tend to zero exponentially.