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

Wolf, William J. and Read, James and Teh, Nicholas (2022) Edge modes and dressing fields for the Newton-Cartan quantum Hall effect. [Preprint]

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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.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Wolf, William J.williamjwolf2@gmail.com
Read, Jamesjames.read@philosophy.ox.ac.uk
Teh, Nicholasnteh@nd.edu
Keywords: Newton-Cartan theory, edge modes, quantum Hall effect, symmetries
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Condensed Matter
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. James Read
Date Deposited: 12 Aug 2022 14:37
Last Modified: 12 Aug 2022 14:37
Item ID: 21036
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Condensed Matter
Specific Sciences > Physics > Symmetries/Invariances
Date: 9 August 2022
URI: http://philsci-archive.pitt.edu/id/eprint/21036

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