Scientific Results

Fermi gas throughout the BCS-BEC crossover: Comparative study of t-matrix approaches with various degrees of self-consistency

Year: 2019

Authors: Pini M., Pieri P., Strinati Calvanese G.

Autors Affiliation: Univ Camerino, Sch Sci & Technol, Phys Div, I-62032 Catnerino, MC, Italy; Ist Nazl Fis Nucl, Sez Perugia, I-06123 Perugia, PG, Italy; CNR INO, Ist Nazl Ott, Sede Firenze, I-50125 Florence, FI, Italy

Abstract: The diagrammatic t-matrix approximation has often been adopted to describe a dilute Fermi gas. This approximation, originally considered by V. M. Galitskii (Zh. Eksp. Teor. Fiz. 34, 151 (1958) [Sov. Phys. JETP 7, 104 (1958)]) for a repulsive interparticle interaction, was later widely utilized for an attractive Fermi gas to describe the BCS-BEC crossover from strongly overlapping Cooper pairs in weak coupling to nonoverlapping composite bosons in strong coupling. Several variants of the t-matrix approximation have been considered in the literature, which are distinguished by the degree of self-consistency allowed in the building blocks of the diagrammatic structure. Here, we perform a systematic and comparative study of all possible variants on the degree of self-consistency for the t-matrix approximation in an attractive Fermi gas, which enables us to confront their outcomes for thermodynamic and dynamical quantities on the same footing in an unbiased way. For definiteness, only the normal phase above the superfluid critical temperature is considered. The dispute that can be raised in this context, about the adequateness of introducing progressive degrees of self-consistency over and above the non-self-consistent t-matrix approximation for an attractive Fermi gas, parallels the recent interest in the literature in assessing the importance of various degrees of self-consistency in the context of semiconductors and insulators


Volume: 99 (9)      Pages from: 094502-1  to: 094502-19

DOI: 10.1103/PhysRevB.99.094502

Citations: 6
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