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

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.023602· OSTI ID:21431015

Chan, Ching-Kit; Congjun, Wu; Lee, Wei-Cheng ^[1]; Sarma, S Das ^[2]

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1. Department of Physics, University of California, San Diego, California 92093 (United States)
2. Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)

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{sub r}{sup 2}{sub -3z}{sup 2} type in three dimensions and of the d{sub x}{sup 2}{sub -y}{sup 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 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.

• OSTI ID: 21431015
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ANISOTROPY
APPROXIMATIONS
CALCULATION METHODS
DIPOLES
DISPERSIONS
EFFECTIVE MASS
ENERGY
ENERGY LEVELS
FERMI GAS
FERMI LEVEL
FERMIONS
HARTREE-FOCK METHOD
INTERACTIONS
MASS
MOLECULES
MULTIPOLES
P WAVES
PARTIAL WAVES
PARTICLE PROPERTIES
RENORMALIZATION
SELF-ENERGY
SPIN
VELOCITY
ZERO SOUND