Compressibility and superfluidity in the fractional-statistics liquid

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Abstract
We study the low-temperature properties of a fractional-statistics liquid. Using a hydrodynamic approach based on an extended mean-field approximation, we show that the excitation is gapless, in agreement with a random-phase calculation of Fetter, Hanna, and Laughlin [Phys. Rev. B 39, 9679 (1989)]. A compressible quantum fluid with only a phonon as low-lying excitation is shown to be a superfluid with a ‘‘Meissner effect.’’ We develop a two-fluid model and calculate some properties of the superfluid phase at finite temperatures. These properties are consistent with high-temperature superconductivity. We also discuss experimental signals of time reversal and parity breaking in the superfluid state.