Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior

Abstract

We study the nature of superfluid pairing in imbalanced Fermi mixtures in two spatial dimensions. We present evidence that the combined effect of Fermi surface mismatch and order parameter fluctuations of the superfluid condensate can lead to continuous quantum phase transitions from a normal Fermi mixture to an intermediate Sarma-Liu-Wilczek superfluid with two gapless Fermi surfaces -- even when mean-field theory (incorrectly) predicts a first order transition to a phase-separated "Bardeen-Cooper-Schrieffer plus excess fermions" ground state. We propose a mechanism for non-Fermi liquid behavior from repeated scattering processes between the two Fermi surfaces and fluctuating Cooper pairs. Prospects for experimental observation with ultracold atoms are discussed.

as accepted to Phys. Rev. X; 10 pages, 10 figures, 75 references

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• Quantum criticality
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
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• Theory of the pairbreaking superconductor-metal transition in nanowires
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• Stability of superfluid phases in the 2D Spin-Polarized Attractive Hubbard Model
• Polarized superfluids near their tricritical point
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Cited by in corpus (19)

• Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• Phase separation and pair condensation in a spin-imbalanced 2D Fermi gas
• Phase structure of spin-imbalanced unitary Fermi gases
• Thermodynamics of the two-dimensional XY model from functional renormalization
• Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at $T>0$
• FFLO strange metal and quantum criticality in two dimensions: theory and application to organic superconductors
• A strongly interacting Sarma superfluid near orbital Feshbach resonances
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Quantum Lifshitz points and fluctuation-induced first-order phase transitions in imbalanced Fermi mixtures
• Critical phenomena at the complex tensor ordering phase transition
• Evolution of an attractive polarized Fermi gas: From a Fermi liquid of polarons to a non-Fermi liquid at the Fulde-Ferrell-Larkin-Ovchinnikov quantum critical point
• Effective potential and quantum criticality for imbalanced Fermi mixtures
• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Damping of the Anderson-Bogolyubov mode by spin and mass imbalance in Fermi mixtures
• Enhanced Fulde-Ferrell-Larkin-Ovchinnikov and Sarma superfluid states near an orbital Feshbach resonance
• Bipolaron formed through electron-hole excitation
• Anomalous quasiparticle lifetime in geometric quantum critical metals