Theory of quasi-one-dimensional imbalanced Fermi gases

2008/04/30 by Erhai Zhao, W. Vincent Liu · 84 citations
Physics and Astronomy · #Ansatz #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermi Gamma-ray Space Telescope #Fermi gas #Fermi liquid theory #Instability #Luttinger liquid #Pairing #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Renormalization group #Scaling #Spin (aerodynamics) #Superconductivity #Superfluidity #cond-mat.other #cond-mat.supr-con

paper · pdf · doi:10.1103/physreva.78.063605

published in Physical Review A 78(6) (American Physical Society) · new expanded version, 8 pages, updated references

arxiv created 2008/11/18 · openalex publication_date 2008/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a theory for a lattice array of weakly coupled one-dimensional ultracold attractive Fermi gases (1D tubes) with spin imbalance, where strong intratube quantum fluctuations invalidate mean-field theory. We first construct an effective field theory, which treats spin-charge mixing exactly, based on the Bethe ansatz solution of the 1D single tube problem. We show that the 1D Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) state is a two-component Luttinger liquid, and its elementary excitations are fractional states carrying both charge and spin. We analyze the instability of the 1D FFLO state against intertube tunneling by renormalization group analysis, and find that it flows into either a polarized Fermi liquid or a FFLO superfluid, depending on the magnitude of interaction strength and spin imbalance. We obtain the phase diagram of the quasi-1D system and further determine the scaling of the superfluid transition temperature with intertube coupling.

Citations

• Bosonization and Strongly Correlated Systems
• Fulde-Ferrell-Larkin-Ovchinnikov state in the one-dimensional attractive Hubbard model and its fingerprint in spatial noise correlations
• Fulde-Ferrell-Larkin-Ovchinnikov pairing in one-dimensional optical lattices
• Dimensional crossover in quasi-one-dimensional and high-Tcsuperconductors
• Bounded Luttinger liquids as a universality class of quantum critical behavior
• Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field
• Phase transitions and pairing signature in strongly attractive Fermi atomic gases
• Quantum Monte Carlo study of one-dimensional trapped fermions with attractive contact interactions
• Cold Attractive Spin Polarized Fermi Lattice Gases and the Doped PositiveUHubbard Model
• Phase Diagram of a Strongly Interacting Polarized Fermi Gas in One Dimension
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates

Cited by

• Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes
• Pairing phenomena and superfluidity of atomic Fermi gases in a two-dimensional optical lattice: Unusual effects of lattice-continuum mixing
• Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study
• Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
• Route to observable Fulde-Ferrell-Larkin-Ovchinnikov phases in three-dimensional spin-orbit-coupled degenerate Fermi gases
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases