Compressibility, zero sound, and effective mass of a fermionic dipolar gas at finite temperature

Abstract

The compressibility, zero sound dispersion, and effective mass of a gas of fermionic dipolar molecules is calculated at finite temperature for one-, two-, and three-dimensional uniform systems, and in a multilayer quasi-two-dimensional system. The compressibility is nonmonotonic in the reduced temperature, $T/T_F$, exhibiting a maximum at finite temperature. This effect might be visible in a quasi-low-dimensional experiment, providing a clear signature of the onset of many-body quantum degeneracy effects. The collective mode dispersion and effective mass show similar nontrivial temperature and density dependence. In a quasi-low-dimensional system, the zero sound mode may propagate at experimentally attainable temperatures.

19 pages, 12 figures; substantially revised and expanded

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Cited by in corpus (19)

• Condensed Matter Theory of Dipolar Quantum Gases
• Bilayer superfluidity of fermionic polar molecules: many body effects
• Collective modes, stability and superfluid transition of a quasi-two-dimensional dipolar Fermi gas
• Novel Fermi Liquid of 2D Polar Molecules
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Collective modes of monolayer, bilayer, and multilayer fermionic dipolar liquid
• Finite temperature stability of a trapped dipolar Bose gas
• Detecting quadrupole interactions in ultracold Fermi gases
• Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
• Magnetostriction and exchange effects in trapped dipolar Bose and Fermi gases
• Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
• The ground state of polaron in an ultracold dipolar Fermi gas
• Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions
• Bound Chains of Tilted Dipoles in Layered Systems
• A local exchange theory for trapped dipolar gases
• Wigner Crystallization in Two Dimensions: Evolution from Long- to Short-Ranged Forces
• On cold gases with anisotropic interactions
• Three-component Fermi gas with SU(3) symmetry: BCS-BEC crossover in three and two dimensions