Universality Classes, Statistical Exclusion Principle and Properties of Interacting Fermions

Abstract

We point to the possibility of existence of the statistical-spin-liquid state as the state which differs from either Fermi or Luttinger liquid states. In the statistical spin liquid the double occupancies are excluded from the physical space. Each of the above three cases (Fermi, Luttinger and spin liquids) represents an universality class for the interacting many-particle fermion systems. The properties of the spin liquid such as the chemical potential, the entropy, and the magnetization curve, as well as the quasiparticle structure are briefly discussed.

11 pages, RevTex, 3 figures available upon request

References in corpus (4)

• Bosonization and Fermion Liquids in Dimensions Greater Than One
• Bosonization of Fermi liquids
• On the Stability and Single-Particle Properties of Bosonized Fermi Liquids
• Luttinger Liquid in a Solvable 2-Dimensional Model

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• Real-space analysis of Hatsugai-Kohmoto interaction
• Extended Hubbard model with renormalized Wannier wave functions in the correlated state II: Quantum critical scaling of the wave function near the Mott-Hubbard transition
• Spin-Charge Separated Luttinger Liquid in Arbitrary Spatial Dimensions
• Quantum-Classical Interactions and Galois Type Extensions