Thermodynamics of the infinity-range hubbard model in the spin-incoherent regime

被引：2

作者：

Ramos, Gabriel F. O. ^{[1
]}

Coutinho-Filho, Mauricio D. ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Fis, Lab Fis Teor & Computac, BR-50670901 Recife, PE, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 45期

关键词：

thermodynamics; fractional statistics; Lerch functions; Borel summation; EXACTLY SOLVABLE MODEL; FRACTIONAL-STATISTICS;

D O I：

10.1088/1751-8121/ac9f89

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The infinity-range Hubbard model on a d-dimensional hypercubic lattice is mapped onto an ideal gas with three species obeying the Haldane-Wu fractional exclusion statistics (FESs). Using this map, we study this system in the spin-incoherent regime and strong coupling limit. We have derived the polynomial series of the grand-canonical free, whose coefficients are Lerch functions, a signature of our FES description, as demonstrated for the entropy and specific heat in any dimension. For even dimensions the series are finite, and a table of coefficients versus dimensionality can be written, while for odd dimensions, the series diverges asymptotically, and can thus be circumvented by Borel summation.

引用

页数：12