Quantum liquids of particles with generalized statistics

Abstract

We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We discuss both equilibrium (specific heat, compressibility, and Pauli spin susceptibility) and nonequilibrium (current and thermal conductivities, thermopower) properties. Low temperature quantities have the same temperature dependences as for the Fermi liquid, with the coefficients depending on the statistics parameter. The novel quantum liquids provide explicit realization of systems with a non-Fermi liquid Lorentz ratio in two and more dimensions. Consistency of the theory is verified by deriving the compressibility and $f$-sum rules.

14 pages, Revtex, no figures; typos corrected

References in corpus (3)

• Exclusion Statistics in Conformal Field Theory Spectra
• Quasi-particles in Fractional Quantum Hall Effect Edge Theories
• Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect

Cited by in corpus (4)

• Are there sharp fractional charges in Luttinger liquids?
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Luttinger liquids, Fermi liquids and fractional statistics
• Many-body constraints and non-thermal behavior in 1D open systems with Haldane exclusion statistics