Abstract
A d-dimensional quantum spherical model with a long-range interaction (decreasing at long distances r as r−d−σ, 0 <σ ≤ 2) is considered close to its quantum critical point. The low-temperature behaviors of the entropy, the internal energy and the specific heat capacity are studied for σ/2 < d < 3σ/2 in the context of the finite-size scaling (FSS) theory. For a σ-dimensional system and a d-dimensional system with short-range interaction (σ = 2) the results for the corresponding critical amplitudes as functions of the dimensionality of the system are presented.
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