Statistics of fractionalized excitations through threshold spectroscopy

SC Morampudi, AM Turner, F Pollmann, F Wilczek - Physical Review Letters, 2017 - APS
We show that neutral anyonic excitations have a signature in spectroscopic measurements
of materials: The low-energy onset of spectral functions near the threshold follows universal …

Anyons

J Myrheim - Aspects topologiques de la physique en basse …, 2002 - Springer
Fractional statistics of identical particles is a theoretical possibility both in one and two
dimensions. Two-dimensional particles of this kind are called anyons. The most important …

Anyons and lowest Landau level anyons

S Ouvry - The Spin: Poincaré Seminar 2007, 2009 - Springer
Intermediate statistics interpolating from Bose statistics to Fermi statistics are allowed in two
dimensions. This is due to the particular topology of the two dimensional configuration space …

The third virial coefficient of anyons revisited

S Mashkevich, J Myrheim, K Olaussen - Physics Letters B, 1996 - Elsevier
We use the method of solving the three-anyon problem developed in our earlier publication
to evaluate numerically the third virial coefficient of free anyons. In order to improve …

Quantum mechanics of a particle with two magnetic impurities

S Mashkevich, J Myrheim, S Ouvry - Physics Letters A, 2004 - Elsevier
A two-dimensional quantum mechanical system consisting of a particle coupled to two
magnetic impurities of different strengths, in a harmonic potential, is considered. Topological …

SO (4) algebraic approach to the three-body bound state problem in two dimensions

V Dmitrašinović, I Salom - Journal of Mathematical Physics, 2014 - pubs.aip.org
We use the permutation symmetric hyperspherical three-body variables to cast the non-
relativistic three-body Schrödinger equation in two dimensions into a set of (possibly …

Anyons, deformed oscillator algebras and projectors

J Engquist - Nuclear Physics B, 2009 - Elsevier
We initiate an algebraic approach to the many-anyon problem based on deformed oscillator
algebras. The formalism utilizes a generalization of the deformed Heisenberg algebras …

Anyon trajectories and the systematics of the three-anyon spectrum

S Mashkevich, J Myrheim, K Olaussen… - International Journal of …, 1996 - World Scientific
We develop the concept of trajectories in anyon spectra, ie the continuous dependence of
energy levels on the kinetic angular momentum. It provides a more economical and unified …

The lowest Landau level anyon equation of state in the anti-screening regime

S Mashkevich, S Ouvry - Physics Letters A, 2003 - Elsevier
The thermodynamics of anyons in the lowest Landau level is addressed in the anti-
screening regime, the anyon flux tubes being parallel to the magnetic field. The equation of …

N-anyon problem: cyclic corrections

AD de Veigy - Nuclear Physics B, 1996 - Elsevier
The cyclic corrections (ie the contribution of cyclic particle exchanges) to the anyon partition
functions are computed at all perturbative orders of the statistical coupling in the …