Density instabilities in a two-dimensional dipolar Fermi gas

Abstract

We study the density instabilities of a two-dimensional gas of dipolar fermions with aligned dipole moments. We show that the Random Phase Approximation (RPA) for the density-density response function is never accurate for the dipolar gas. We incorporate correlations beyond RPA via an improved version of the Singwi-Tosi-Land-Sjolander scheme. In addition to density-wave instabilities, our formalism captures the collapse instability that is expected from Hartree-Fock calculations but is absent from RPA. Crucially, we find that when the dipoles are perpendicular to the layer, the system spontaneously breaks rotational symmetry and forms a stripe phase, in defiance of conventional wisdom.

5 pages, 3 figures. Published version

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Cited by in corpus (52)

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• Excitations and Stripe Phase Formation in a 2D Dipolar Bose Gas with Tilted Polarization
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• Liquid and crystal phase of dipolar fermions in two dimensions
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• Phase diagram of dipolar bosons in 2D with tilted polarization
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Ground-state and dynamical properties of two-dimensional dipolar Fermi liquids
• Equilibrium Phases of Tilted Dipolar Lattice Bosons
• Liquid crystal phases of two-dimensional dipolar gases and Berezinskii-Kosterlitz-Thouless melting
• Exciton condensation in strongly correlated electron bilayers
• Properties of the density-wave phase of a two-dimensional dipolar Fermi gas
• Quantum and thermal melting of stripe forming systems with competing long ranged interactions
• Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing point
• Dipolar fermions in a two-dimensional lattice at non-zero temperature
• Unconventional Spin Density Waves in Dipolar Fermi Gases
• Density-wave phases of dipolar fermions in a bilayer
• Coexistence of density wave and superfluid order in a dipolar Fermi gas
• Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas
• Anisotropic Coherence properties in a trapped quasi2D dipolar gas
• Zero sound in a two-dimensional dipolar Fermi gas
• $f$-wave superfluidity from repulsive interaction in Rydberg-dressed Fermi gas
• Ground states of 2D tilted dipolar bosons with density-induced hopping
• Theory of correlations in strongly interacting fluids of two-dimensional dipolar bosons
• Phase-diagram and dynamics of Rydberg-dressed fermions in two-dimensions
• Mesoscopic dipolar quantum crystals
• Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions
• The Quantum Cluster Variational Method and the Phase Diagram of the quantum ferromagnetic $J_1$-$J_2$ model
• Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions
• Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
• Quantum phases of quadrupolar Fermi gases in coupled one-dimensional systems
• Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Thermodynamics of Dipolar Chain Systems
• Bound Chains of Tilted Dipoles in Layered Systems
• Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
• Competing many-body instabilities in two-dimensional dipolar Fermi gases
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• A local exchange theory for trapped dipolar gases
• Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
• Pseudopotentials for an ultracold dipolar gas
• Classical crystal formation of dipoles in two dimensions
• Dipolar fermions in a multilayer geometry
• Composite quasiparticles in strongly-correlated dipolar Fermi liquids
• Triplet Superfluidity on a triangular ladder with dipolar fermions
• Mixed parity pairing in a dipolar gas
• Interplay between shell structure and trap deformation in dipolar fermi gases
• Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry
• d_{xy}-Density wave in fermion-fermion cold atom mixtures
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Electric field-induced clustering in nanocomposite films of highly polarizable inclusions
• Ordered phases in a bilayer system of dipolar fermions