Anisotropic Fermi liquid theory of the ultra cold fermionic polar molecules: Landau parameters and collective modes

Details Anisotropic Fermi liquid theory of the ultra cold fermionic polar molecules: Landau parameters and collective modes Anisotropic Fermi liquid theory of the ultra cold fermionic polar molecules: Landau parameters and collective modes

2009-06-24

arxiv.org/abs/0906.4403v5

Phys. Rev. A 81, 023602 (2010)

Physics

Condensed Matter

Quantum Gases

accepted by Phys. Rev. A

Scientific paper

10.1103/PhysRevA.81.023602

We study the Fermi liquid properties of the cold atomic dipolar Fermi gases with the explicit dipolar anisotropy using perturbative approaches. Due to the explicit dipolar anisotropy, Fermi surfaces exhibit distortions of the $d_{r^2-3z^2}$-type in three dimensions and of the $d_{x^2-y^2}$-type in two dimensions. The fermion self-energy, effective mass, and Fermi velocity develop the same anisotropy at the Hartree-Fock level proportional to the interaction strength. The Landau interaction parameters in the isotropic Fermi liquids become the tri-diagonal Landau interaction matrices in the dipolar Fermi liquids which renormalize thermodynamic susceptibilities. With large dipolar interaction strength, the Fermi surface collapses along directions perpendicular to the dipole orientation. The dynamic collective zero sound modes exhibit an anisotropic dispersion with the largest sound velocity propagating along the polar directions. Similarly, the longitudinal p-wave channel spin mode becomes a propagating mode with an anisotropic dispersion in multi-component dipolar systems.

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