Ferro-Nematic ground state of the dilute dipolar Fermi gas

Abstract

It is shown that a homogeneous two-component Fermi gas with (long range) dipolar and short-range isotropic interactions has a {\em ferro-nematic} phase for suitable values of the dipolar and short-range coupling constants. The ferro-nematic phase is characterized by having a non-zero magnetization and long range orientational uniaxial order. The Fermi surface of spin up (down) component is elongated (compressed) along the direction of the magnetization.

4 pages, 4 figures. v2 contains a significant revision of version v1 which contained some incorrect results. v2 includes a detail discussion of the phase diagram (and of the degree of polarization of the ferro-nematic phase) including an estimate of the critical couplings. It supersedes the results presented in v1; Version v4 has minor changes

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• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
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• Dislocation-mediated melting of one-dimensional Rydberg crystals
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• Controlling interactions between highly-magnetic atoms with Feshbach resonances
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• Tunable Wigner States with Dipolar Atoms and Molecules
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• Nonperturbative Effects on the Ferromagnetic Transition in Repulsive Fermi Gases
• Fermionic suppression of dipolar relaxation: Observation of universal inelastic dipolar scattering
• Singlet and triplet BCS pairs in a gas of two-species fermionic polar molecules
• Quantum phases of quadrupolar Fermi gases in optical lattices
• Dipolar Fermi gases in anisotropic traps
• Theory of a chiral Fermi liquid: general formalism
• Collective Motion of Polarized Dipolar Fermi Gases in the Hydrodynamic Regime
• The J-triplet Cooper pairing with magnetic dipolar interactions
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• Hyperfine structure of the hydroxyl free radical (OH) in electric and magnetic fields
• Electronic polymers and soft-matter-like broken symmetries in underdoped cuprates
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• Quantum hexatic order in two-dimensional dipolar and charged fluids
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• Spin-orbit coupled Fermi liquid theory of ultra-cold magnetic dipolar fermions
• Ultra-cold Fermi gases with resonant dipole-dipole interaction
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• Anisotropic sub-Doppler laser cooling in dysprosium magneto-optical traps
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• Unconventional Spin Density Waves in Dipolar Fermi Gases
• s-Wave Scattering Resonances Induced by Dipolar Interactions of Polar Molecules
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• Spontaneous generation of spin-orbit coupling in magnetic dipolar Fermi gases
• Anisotropic Superfluidity in the Two-Species Polar Fermi Gas
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• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Characterizing the temperature dependence of Fano-Feshbach resonances of Ultracold Polarized Thulium
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• Hidden Ferronematic Order in Underdoped Cuprates
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Ground state of a two component dipolar Fermi gas in a harmonic potential
• Exchange interactions in the Hubbard-Stratonovich transformation for the stability analysis of itinerant ferromagnetism
• Nematic order on the surface of a three-dimensional topological insulator
• Multipolar Fermi-surface deformation in a Rydberg-dressed Fermi gas with long-range anisotropic interactions
• Long-range Order in One-dimensional Spinless Fermi Gas with Attractive Dipole-Dipole Interaction
• Itinerant ferromagnetism of a dipolar Fermi gas with Raman-induced spin-orbit coupling
• Electronic Liquid Crystal Phases in Strongly Correlated Systems
• Thermal-assisted Anisotropy and Thermal-driven Instability in the Superfluidity state of Two-Species Polar Fermi Gas
• Field-induced ferromagnetic phase transition in 2D Fermi systems with magnetic dipole-dipole interaction
• The fate of the Fermi surface coupled to a single-wave-vector cavity mode