A Lower-Dimensional Remnant of Flux Attachment

Gerard Valentí-Rojas; Patrik Öhberg

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arXiv · 2412.03346

A Lower-Dimensional Remnant of Flux Attachment

Gerard Valentí-Rojas·Patrik Öhberg

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Abstract

Flux attachment is a mechanism allowing electric charges to capture magnetic flux in two spatial dimensions. Fundamentally, this is a consequence of the Aharonov-Bohm effect or, in field-theoretic language, of a Chern-Simons term. This is also intimately related to a transmutation of the exchange statistics of the original charges. We show that a remnant of this mechanism is found after a dimensional reduction of a pure Chern-Simons theory and its subsequent coupling to matter.

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Gerard Valentí-Rojas, Patrik Öhberg. 2024-12-04. A Lower-Dimensional Remnant of Flux Attachment. https://arxiv.org/abs/2412.03346

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