Quantum Hall fractions in ultracold fermionic vapors

Journal Article · Wed Dec 15 04:00:00 EST 2004 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.70.241307· OSTI ID:20662290

Regnault, N; Jolicoeur, Th ^[1]

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1. Departement de Physique, Laboratoire Pierre Aigrain, 24, rue Lhomond, 75005 Paris (France)

We study the quantum Hall states that appear in the dilute limit of rotating ultracold fermionic gases when a single hyperfine species is present. We show that the p-wave scattering translates into a pure hard-core interaction in the lowest Landau level. The Laughlin wave function is then the exact ground state at filling fraction {nu}=1/3. We give estimates of some of the gaps of the incompressible liquids for {nu}=p/(2p{+-}1). We estimate the mass of the composite fermions at {nu}=1/2. The width of the quantum Hall plateaus is discussed by considering the equation of state of the system.

• OSTI ID: 20662290
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 24 Vol. 70; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EQUATIONS OF STATE
FERMI GAS
FERMIONS
GROUND STATES
HALL EFFECT
INTERACTIONS
P WAVES
SCATTERING
VAPORS
WAVE FUNCTIONS