Mixtures of ultracold fermions with unequal masses

Abstract

We analyze the phase diagram of superfluidity for two-species fermion mixtures from the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) limit as a function of scattering parameter, population imbalance and mass anisotropy. We identify regions corresponding to normal, or uniform/non-uniform superfluid phases, and discuss topological quantum phase transitions in the BCS, unitarity and BEC limits. We derive the Ginzburg-Landau equation near the critical temperature, and show that it describes a dilute mixture of paired and unpaired fermions in the BEC limit. We also obtain the zero temperature low frequency and long wavelength collective excitation spectrum, and recover the Bogoliubov relation for weakly interacting dilute bosons in the BEC limit. Lastly, we discuss the effects of harmonic traps and the resulting density profiles in the BEC regime.

arXiv comment14 pages, 9 figures. Extended version of cond-mat/0606624

References in corpus (29)

• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Interior Gap Superfluidity
• BEC-BCS crossover in "magnetized" Feshbach-resonantly paired superfluids
• Phase separation in asymmetrical fermion superfluids
• Asymmetric Two-component Fermion Systems in Strong Coupling
• Normal state of a polarized Fermi gas at unitarity
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Direct Imaging of Spatially Modulated Superfluid Phases in Atomic Fermion Systems
• Superfluid stability in BEC-BCS crossover
• Strongly interacting Fermi gases with density imbalance
• Phase diagram of a cold polarized Fermi gas
• Two-species fermion mixtures with population imbalance
• Induced P-wave Superfluidity in Asymmetric Fermi Gases
• Profiles of near-resonant population-imbalanced trapped Fermi gases
• Trapped fermions with density imbalance in the BEC limit
• Pairing in a two-component ultracold Fermi gas: phases with broken space symmetries
• Diatomic molecules in ultracold Fermi gases - Novel composite bosons
• Superfluidity in the interior-gap states
• Trapped Fermions across a Feshbach resonance with population imbalance
• Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations
• Evolution from BCS to BEC superfluidity in p-wave Fermi gases
• Properties of the strongly paired fermionic condensates
• Stability conditions and Fermi surface topologies in a superconductor
• Co-existence and shell structures of several superfluids in trapped three-component Fermi mixtures
• The Lifshitz Transition in d-wave Superconductors
• Detecting the breached pair phase in a polarized ultracold Fermi gas
• Fermion Cooper Pairing with Unequal Masses: Standard Field Theory Approach

Cited by in corpus (39)

• Theory of ultracold Fermi gases
• Ultra-cold Polarized Fermi Gases
• Imbalanced Fermi Gases at Unitarity
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• Superfluid pairing between fermions with unequal masses
• Universal four-body states in heavy-light mixtures with positive scattering length
• Mass imbalance effect in resonant Bose-Fermi mixtures
• The Hyperfine Molecular Hubbard Hamiltonian
• Phase Separation Dynamics Induced by an Interaction Quench of a Correlated Fermi-Fermi Mixture in a Double Well
• Fermi-Fermi Mixtures in the Strong Attraction Limit
• Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems
• Pairing in a two-dimensional Fermi gas with population imbalance
• Experimental conditions for observation of electron-hole superfluidity in GaAs heterostructures
• Chandrasekhar-Clogston limit and phase separation in Fermi mixtures at Unitarity
• Excitation properties and effects of mass imbalance in the BCS-BEC crossover regime of an ultracold Fermi gas
• Quantum phases of Fermi-Fermi mixtures in optical lattices
• Finite-Temperature Behavior of an Inter-species Fermionic Superfluid with Population Imbalance
• Stability of Sarma phases in density imbalanced electron-hole bilayer systems
• BCS-BEC crossover with unequal mass fermions
• Topological quantum phase transitions of attractive spinless fermions in a honeycomb lattice
• Single-particle spectral functions in the normal phase of a strongly-attractive Bose-Fermi mixture
• Dimer-atom scattering between two identical fermions and a third particle
• Hetero pairing and component-dependent pseudogap phenomena in an ultracold Fermi gas with mass imbalance
• Rotation induced superfluid-normal phase separation in trapped Fermi gases
• Quantum Lifshitz points and fluctuation-induced first-order phase transitions in imbalanced Fermi mixtures
• Stability of superfluid phases in the 2D Spin-Polarized Attractive Hubbard Model
• Surface Energy in Cold Asymmetrical Fermion Superfluids
• Temperature Effects in a Fermi Gas with Population Imbalance
• Vortex core states in superfluid Fermi-Fermi mixtures with unequal masses
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Thermal transitions, pseudogap behavior and BCS-BEC crossover in Fermi-Fermi mixtures
• Stability of resonantly interacting heavy-light Fermi mixtures
• Mass-imbalanced Fermi gases with spin-orbit coupling
• Superfluidity in density imbalanced bilayers of dipolar fermions
• Extension of the Ginzburg - Landau approach for ultracold Fermi gases below a critical temperature
• Pairing imbalance in BCS-BEC crossover of inhomogeneous three-component Fermi-gas in two dimensions
• Imbalanced ultracold Fermi gas in the weakly repulsive regime: Renormalization group approach for p-wave superfluidity
• Damping of the Anderson-Bogolyubov mode by spin and mass imbalance in Fermi mixtures
• Collective excitation and stability of flow-induced gapless Fermi superfluids