Braids and Beams: Exploring Fractional Statistics with Mesoscopic Anyon Colliders
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917012918239232 |
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| author | Rosenow, Bernd Halperin, Bertrand I. |
| author_facet | Rosenow, Bernd Halperin, Bertrand I. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_04319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Braids and Beams: Exploring Fractional Statistics with Mesoscopic Anyon Colliders Rosenow, Bernd Halperin, Bertrand I. Mesoscale and Nanoscale Physics Strongly Correlated Electrons 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. |
| title | Braids and Beams: Exploring Fractional Statistics with Mesoscopic Anyon Colliders |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2510.04319 |