This book explains the subtleties of quantum statistical mechanics in lower dimensions and
their possible ramifications in quantum theory. The discussion is at a pedagogical level and …

We present analytical results of the fundamental properties of the one-dimensional (1D)
Hubbard model with a repulsive interaction. The new model results with arbitrary external …

One-dimensional quantum systems show fascinating properties beyond the scope of the
mean-field approximation. However, the complicated mathematics involved is a high barrier …

We construct Landau-Ginzburg effective field theories for fractional quantum Hall states-
such as the Pfaffian state-which exhibit non-abelian statistics. These theories rely on a …

We discuss the thermodynamics of a gas of free particles obeying Haldane's exclusion
statistics, deriving low-temperature and low-density expansions. For gases with a constant …

We show that below the degenerate temperature the distribution profiles of strongly
interacting anyons in one-dimension coincide with the most probable distributions of ideal …

We systematically study the exclusion statistics for quasi-particles for Conformal Field
Theory spectra by employing a method based on recursion relations for truncated spectra …

We study statistical characterization of the many-body states in exactly solvable models with
internal degrees of freedom. The models under consideration include the isotropic and …

We discuss recent results on the relation between the strongly interacting one-dimensional
Bose gas and a gas of ideal particles obeying nonmutual generalized exclusion statistics …

We propose a quasiparticle formulation of effective edge theories for the fractional quantum
Hall effect. For the edge of a Laughlin state with filling fraction ν= 1/m, our fundamental …