Universality Classes, Statistical Exclusion Principle and Properties of Interacting Fermions

TL;DR

This paper explores a new state called the statistical spin liquid, which differs from Fermi and Luttinger liquids by excluding double occupancies, and discusses its properties and classification within universality classes.

Contribution

It introduces the concept of the statistical spin liquid as a distinct universality class for interacting fermions, expanding the understanding of quantum many-body states.

Findings

Statistical spin liquid excludes double occupancies.

Properties like chemical potential and entropy are analyzed.

Classifies three universality classes for fermion systems.

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.