53 citations · 495 across the 34 of their papers we have counts for
36 papers
Properties of 2D anyon gas
Douglas Lundholm
An overview is given of the 2D many-anyon gas, including its definition (both for ideal and certain less-than-ideal particles, as well as for abelian and nonabelian braid group rep…
Quantum statistics transmutation via magnetic flux attachment
Gaultier Lambert, Douglas Lundholm, Nicolas Rougerie
We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that t…
Emergence of Anyons on the Two-Sphere in Molecular Impurities
Morris Brooks, Mikhail Lemeshko, Douglas Lundholm +1
Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 12…
Exchange and exclusion in the non-abelian anyon gas
Douglas Lundholm, Viktor Qvarfordt
We review and develop the many-body spectral theory of ideal anyons, i.e. identical quantum particles in the plane whose exchange rules are governed by unitary representations of t…
Molecular Impurities as a Realization of Anyons on the Two-Sphere
Morris Brooks, Mikhail Lemeshko, Douglas Lundholm +1
Studies on experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the g…
A Quantum Impurity Model for Anyons
Enderalp Yakaboylu, Areg Ghazaryan, Douglas Lundholm +3
One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be real…