Phys. Rev. B 70, 241307(R) (2004) [4 pages]Quantum Hall fractions in ultracold fermionic vapors
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 ν=1∕3. We give estimates of some of the gaps of the incompressible liquids for ν=p∕(2p±1). We estimate the mass of the composite fermions at ν=1∕2. The width of the quantum Hall plateaus is discussed by considering the equation of state of the system. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.70.241307
DOI:
10.1103/PhysRevB.70.241307
PACS:
73.43.−f, 03.75.Ss, 05.30.Fk
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