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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:2111.08052 (cond-mat)
[Submitted on 15 Nov 2021 (v1), last revised 9 Aug 2022 (this version, v3)]

Title:Edge modes and dressing fields for the Newton-Cartan quantum Hall effect

Authors:William J. Wolf, James Read, Nicholas Teh
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Abstract:It is now well-known that Newton-Cartan theory is the correct geometrical setting for modelling the quantum Hall effect. In addition, in recent years edge modes for the Newton-Cartan quantum Hall effect have been derived. However, the existence of these edge modes has, as of yet, been derived using only orthodox methodologies involving the breaking of gauge-invariance; it would be preferable to derive the existence of such edge modes in a gauge-invariant manner. In this article, we employ recent work by Donnelly and Freidel in order to accomplish exactly this task. Our results agree with known physics, but afford greater conceptual insight into the existence of these edge modes: in particular, they connect them to subtle aspects of Newton-Cartan geometry and pave the way for further applications of Newton-Cartan theory in condensed matter physics.
Comments: 23 pages, forthcoming in Foundations of Physics
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.08052 [cond-mat.mes-hall]
  (or arXiv:2111.08052v3 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.2111.08052

Submission history

From: James Read [view email]
[v1] Mon, 15 Nov 2021 19:14:45 UTC (39 KB)
[v2] Fri, 19 Nov 2021 09:44:20 UTC (39 KB)
[v3] Tue, 9 Aug 2022 09:41:54 UTC (94 KB)
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