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• W1968462845 abstract "Thermodynamical properties of canonical and grand-canonical ensembles of the half-filled two-site Hubbard model have been discussed within the framework of the nonextensive statistics (NES). For relating the physical temperature T to the Lagrange multiplier β, two methods have been adopted: T=1/kBβ in method A [Tsallis et al., Physica A 261 (1998) 534], and T=cq/kBβ in method B [Abe et al., Phys. Lett. A 281 (2001) 126], where kB denotes the Boltzman constant, cq=∑ipiq,pi the probability distribution of the ith state, and q the entropic index. Temperature dependences of specific heat and magnetic susceptibility have been calculated for 1⩽q⩽2, the conventional Boltzman–Gibbs statistics being recovered in the limit of q=1. The Curie constant Γq of the susceptibility in the atomic and low-temperature limits (t/U→0,T/U→0) is shown to be given by Γq=2q22(q-1) in method A, and Γq=2q in method B, where t stands for electron hoppings and U intra-atomic interaction in the Hubbard model. These expressions for Γq are shown to agree with the results of a free spin model which have been studied also by the NES with methods A and B. A comparison has been made between the results for canonical and grand-canonical ensembles of the model." @default.
• W1968462845 created "2016-06-24" @default.
• W1968462845 creator A5017199677 @default.
• W1968462845 date "2005-06-01" @default.
• W1968462845 modified "2023-10-01" @default.
• W1968462845 title "Nonextensive thermodynamics of the two-site Hubbard model" @default.
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• W1968462845 doi "https://doi.org/10.1016/j.physa.2005.01.025" @default.
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