Spin-orbit coupled Fermi liquid theory of ultra-cold magnetic dipolar fermions

Abstract

We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi gases in the simplest two-component case including both thermodynamic instabilities and collective excitations. The magnetic dipolar interaction is invariant under the simultaneous spin-orbit rotation, but not under either the spin or the orbit one. Therefore, the corresponding Fermi liquid theory is intrinsically spin-orbit coupled. This is a fundamental feature of magnetic dipolar Fermi gases different from electric dipolar ones. The Landau interaction matrix is calculated and is diagonalized in terms of the spin-orbit coupled partial-wave channels of the total angular momentum J. The leading thermodynamic instabilities lie in the channels of ferromagnetism hybridized with the ferronematic order with J = 1+ and the spin-current mode with J = 1-, where + and - represent even and odd parities, respectively. An exotic propagating collective mode is identified as spin-orbit coupled Fermi surface oscillations in which spin distribution on the Fermi surface exhibits a topologically nontrivial hedgehog configuration.

References in corpus (19)

• A High Phase-Space-Density Gas of Polar Molecules
• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Stabilizing a purely dipolar quantum gas against collapse
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• Fermi liquid instabilities in the spin channel
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Dynamic generation of spin orbit coupling
• Phase space deformation of a trapped dipolar Fermi gas
• Dysprosium magneto-optical traps
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice
• Dipolar interaction in ultra-cold atomic gases
• Collective modes of monolayer, bilayer, and multilayer fermionic dipolar liquid
• Nonuniform mixed-parity superfluid state in Fermi gases
• Generalized Pomeranchuk instabilities in graphene
• Interaction-induced first order correlation between spatially-separated 1D dipolar fermions
• Spontaneous generation of spin-orbit coupling in magnetic dipolar Fermi gases
• Singlet and Triplet Superfluid Competition in a Mixture of Two-Component Fermi and One-Component Dipolar Bose Gases

Cited by in corpus (15)

• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Spin-orbital dynamics in a system of polar molecules
• Theory of a chiral Fermi liquid: general formalism
• Fragile Unconventional Magnetism in RuO${}_2$ by Proximity to Landau-Pomeranchuk Instability
• Unconventional Spin Density Waves in Dipolar Fermi Gases
• Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
• Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
• Weyl spin-orbit-coupling-induced interactions in uniform and trapped atomic quantum fluids
• Topological Supersolidity of Dipolar Fermi Gases in a Spin-Dependent Optical Lattice
• Spin Orbit Magnetism and Unconventional Superconductivity
• Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum
• Magnetization and collective excitations of a magnetic dipole fermion gas
• The Symmetry Principle in Condensed Matter Physics (I)
• Itinerant magnetism in Weyl spin-orbit coupled Fermi gas
• Collective effects in an incompressible electronic liquid