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Braids and Beams: Exploring Fractional Statistics with Mesoscopic Anyon Colliders

2025/10/05 by Rosenow, Bernd, Halperin, Bertrand I. · 1 citation
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2510.04319

Abstract

Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases through current cross correlations. Within a non-equilibrium bosonization framework, the normalized cross-correlations take a universal form depending only on the exchange phase and the dynamical exponent, enabling experimental demonstration of anyonic statistics. This result can be interpreted as time-domain interference -- braiding in time rather than spatial exclusion or real-space interferometry. Extension to hierarchical states shows that the semiclassical step-function description of quasiparticles fails at large statistical angles. Introducing a finite soliton width resolves this issue and enables quantitative modeling of charge-e/5 quasiparticle collisions.

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