Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions

Abstract

The rapid experimental progress of ultra-cold dipolar fermions opens up a whole new opportunity to investigate novel many-body physics of fermions. In this article, we review theoretical studies of the Fermi liquid theory and Cooper pairing instabilities of both electric and magnetic dipolar fermionic systems from the perspective of unconventional symmetries. When the electric dipole moments are aligned by the external electric field, their interactions exhibit the explicit $d_{r^2-3z^2}$ anisotropy. The Fermi liquid properties, including the single-particle spectra, thermodynamic susceptibilities, and collective excitations, are all affected by this anisotropy. The electric dipolar interaction provides a mechanism for the unconventional spin triplet Cooper pairing, which is different from the usual spin-fluctuation mechanism in solids and the superfluid ${}^3$He. Furthermore, the competition between pairing instabilities in the singlet and triplet channels gives rise to a novel time-reversal symmetry breaking superfluid state. Unlike electric dipole moments which are induced by electric fields and unquantized, magnetic dipole moments are intrinsic proportional to the hyperfine-spin operators with a Lande factor. Its effects even manifest in unpolarized systems exhibiting an isotropic but spin-orbit coupled nature. The resultant spin-orbit coupled Fermi liquid theory supports a collective sound mode exhibiting a topologically non-trivial spin distribution over the Fermi surface. It also leads to a novel $p$-wave spin triplet Cooper pairing state whose spin and orbital angular momentum are entangled to the total angular momentum $J=1$ dubbed the $J$-triplet pairing. This $J$-triplet pairing phase is different from both the spin-orbit coupled ${}^3$He-$B$ phase with $J=0$ and the spin-orbit decoupled ${}^3$He-$A$ phase.

arXiv commentReview article

References in corpus (70)

• A High Phase-Space-Density Gas of Polar Molecules
• The physics of dipolar bosonic quantum gases
• Bose-Einstein condensation of chromium
• Realizing a lattice spin model with polar molecules
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Condensed Matter Theory of Dipolar Quantum Gases
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Dipolar collisions of polar molecules in the quantum regime
• Quantum Theory of a Nematic Fermi Fluid
• Quantum degenerate dipolar Fermi gas
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• d-wave collapse and explosion of a dipolar Bose-Einstein condensate
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• Trapping ultracold dysprosium: a highly magnetic gas for dipolar physics
• Fermi liquid instabilities in the spin channel
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Reaching Fermi degeneracy via universal dipolar scattering
• Superfluid pairing in a polarized dipolar Fermi gas
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Ultracold Dipolar Gases in Optical Lattices
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Spin-orbit-coupled dipolar Bose-Einstein condensates
• Dynamic generation of spin orbit coupling
• Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium
• Topological Flat Bands from Dipolar Spin Systems
• Phase space deformation of a trapped dipolar Fermi gas
• Synthetic Gauge Field with Highly Magnetic Lanthanide Atoms
• Observation of Fermi surface deformation in a dipolar quantum gas
• Prospects for p-wave paired BCS states of fermionic atoms
• Dysprosium magneto-optical traps
• Topological p_x+ip_y Superfluid Phase of Fermionic Polar Molecules
• Superfluidity of trapped dipolar Fermi gases
• Biaxial nematic phases in ultracold dipolar Fermi gases
• Ferro-Nematic ground state of the dilute dipolar Fermi gas
• The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• Anisotropic Fermi liquid theory of the ultra cold fermionic polar molecules: Landau parameters and collective modes
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• Dynamical properties of dipolar Fermi gases
• Quantum Spin Nematic States in Bose-Einstein Condensates
• Spectroscopy of a narrow-line laser cooling transition in atomic dysprosium
• Stable topological phases in a family of two-dimensional fermion models
• Zero Sound in Dipolar Fermi Gases
• Axionic superconductivity in three dimensional doped narrow gap semiconductors
• Mixed triplet and singlet pairing in multicomponent ultracold fermion systems with dipolar interactions
• Bond order solid of two-dimensional dipolar fermions
• Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium
• Liquid crystal phases of ultracold dipolar fermions on a lattice
• Hartree-Fock-Bogoliubov Theory of Dipolar Fermi Gases
• Singlet and triplet BCS pairs in a gas of two-species fermionic polar molecules
• Spontaneous interlayer superfluidity in bilayer systems of cold polar molecules
• Electron self-energy near a nematic quantum critical point
• Theory of a chiral Fermi liquid: general formalism
• Dipolar interaction in ultra-cold atomic gases
• The J-triplet Cooper pairing with magnetic dipolar interactions
• Compressibility, zero sound, and effective mass of a fermionic dipolar gas at finite temperature
• Collective modes of monolayer, bilayer, and multilayer fermionic dipolar liquid
• Nonuniform mixed-parity superfluid state in Fermi gases
• Spin-orbit coupled Fermi liquid theory of ultra-cold magnetic dipolar fermions
• Unconventional magnetism in imbalanced Fermi systems with magnetic dipolar interactions
• Ultra-cold Fermi gases with resonant dipole-dipole interaction
• Fermion Pairing across a Dipolar Interaction Induced Resonance
• Unconventional Spin Density Waves in Dipolar Fermi Gases
• Spontaneous generation of spin-orbit coupling in magnetic dipolar Fermi gases
• Correlation energy of a homogeneous dipolar Fermi gas
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Faraday scaling and the Bicep2 observations
• Magnetization and collective excitations of a magnetic dipole fermion gas
• Ultra-cold dipolar gases

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• New frontiers with quantum gases of polar molecules
• Reentrant Superfluidity and Pair Density Wave in Single Component Dipolar Fermi Gases
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• Competing many-body instabilities in two-dimensional dipolar Fermi gases
• Superfluidity in density imbalanced bilayers of dipolar fermions