Thermal anyons and their applications: an algebraic approach

by Nevena Ilieva (Institute of Nuclear Research, Sofia)

Thursday 6 May 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

We substantiate our understanding of the Bose-Fermi duality by a chain of algebraic inclusions. At the final stage of this chain field operators Ψα, α real, with exotic statistics are found, among them -- also non-canonical bosons and fermions. Their n-point functions do not factorize as for quasifree states. The exchange relations themselves (the α-commutators) for α not integer are trivial and for α integer become temperature-dependent operator-valued distributions. The edge excitations in the FQHE can be identified as a special case of these anyons, which provides a possibility for the second quantization of the Hall Hamiltonian. The dynamical equivalence of different anyons opens the way to unification of two contradictory viewpoints on the mechanism of the high-temperature superconductivity.