We derive the occupation-number distribution in a generalized ideal gas of particles obeying
fractional statistics, including mutual statistics, by adopting a state-counting definition. When …

Generalized statistical distributions for identical particles are introduced for the case where
filling a single-particle quantum state by particles depends on filling states of different …

The quantum metric of single-particle wave functions in topological flat bands plays a crucial
role in determining the stability of fractional Chern insulating (FCI) states. Here, we unravel …

These lecture notes attempt to explain the main ideas of the theory of the quantum Hall
effect. The emphasis is on the localization and interaction physics in the extreme quantum …

The standard topological approach to indistinguishable particles formulates exchange
statistics by using the fundamental group to analyze the connectedness of the configuration …

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 …

Numerical results for the energy spectra of N electrons on a spherical surface are used as
input data to determine the quasiparticle energies and the pairwise" Fermi liquid" …

We discuss the low-energy limit of three-orbital Kondo-lattice and Hubbard models
describing t 2 g orbitals on a triangular lattice near half-filling. We analyze how very flat …

We present numerical calculations of the charge and statistics, as extracted from Berry
phases, of the Laughlin quasiparticles, near filling fraction 1/3, and for system sizes of up to …

We present Monte Carlo studies of charge expectation values and charge fluctuations for
quasi-particles in the quantum Hall system. We have studied the Laughlin wave functions for …