Anisotropic-Fermi-liquid theory of ultracold fermionic polar molecules: Landau parameters and collective modes

Ching-Kit Chan, Congjun Wu, Wei-Cheng Lee, and S. Das Sarma
Phys. Rev. A 81, 023602 – Published 5 February 2010

Abstract

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 dr23z2 type in three dimensions and of the dx2y2 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 tridiagonal 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 multicomponent dipolar systems.

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  • Received 8 July 2009

DOI:https://doi.org/10.1103/PhysRevA.81.023602

©2010 American Physical Society

Authors & Affiliations

Ching-Kit Chan1, Congjun Wu1, Wei-Cheng Lee1, and S. Das Sarma2

  • 1Department of Physics, University of California, San Diego, California 92093, USA
  • 2Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA

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Issue

Vol. 81, Iss. 2 — February 2010

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