Piotr Sitko

Energy spectrum of anyons in the Hartree-Fock approximation

Abstract We analyse the Hartree-Fock Hamiltonian of anyons. Following the method shown by Hanna, Laughlin and Fetter we find the value of the energy gap and the ground-state energy for any statistics parameter ϑ=1− 1 n . The result is discussed in comparison with predictions of the mean field approximation.

Exclusion statistics of quasiparticles in condensed states of composite fermion excitations

The exclusion statistics of quasiparticles is found at any level of the hierarchy of condensed states of composite fermion excitations (for which experimental indications have recently been found). The hierarchy of condensed states of excitations in boson Jain states is introduced and the statistics of quasiparticles is found. The quantum Hall states of charged

Exclusion statistics of composite fermions

\ensuremath{\alpha}

The BCS paired state of anions in the zero effective field

anyons

Hartree-Fock ground-state energy of anyons with no Coulomb interaction in the zero effective field

(\ensuremath{\alpha}

Composite Fermion Hierarchical States in Rotating Dipolar Fermi Gases

is the exclusion statistics parameter) can be described as incompressible states of

Charge and statistics of quasiholes in Pfaffian states of composite fermion excitations

(\ensuremath{\alpha}+2p)

HARTREE–FOCK GROUND STATE OF THE COMPOSITE FERMION METAL

anyons

Correlation energy of fractional-quantum-Hall-effect systems of composite fermions

(2p

Quantum Hall systems : braid groups, composite fermions, and fractional charge

is an even number).