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Fermi surfaces and Luttinger’s theorem in paired fermion systems

2006/02/28 by Subir Sachdev, Kun Yang · 33 citations
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi gas #Fermi liquid theory #Fermi surface #Fermion #Ground state #Luttinger liquid #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum oscillations #Rare-earth and actinide compounds #Superconductivity #cond-mat.supr-con #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevb.73.174504

published in Physical Review B 73(17) (American Physical Society) · 7 pages with one figure embedded. V2: Minor modifications. Final version as appeared in print

openalex publication_date 2006/05/05 · arxiv created 2006/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss ground state properties of a mixture of two fermion species which can bind to form a molecular boson. When the densities of the fermions are unbalanced, one or more Fermi surfaces can appear: we describe the constraints placed by Luttinger's theorem on the volumes enclosed by these surfaces in such Bose-Fermi mixtures. We also discuss the nature of the quantum phase transitions involving changes in the number of Fermi surfaces.

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