Edge Modes and Dressing Fields for the Newton–Cartan Quantum Hall Effect

Foundations of Physics 53 (1):1-24 (2022)
  Copy   BIBTEX


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.

Similar books and articles

On the genesis of the Cartan–Kähler theory.Alberto Cogliati - 2011 - Archive for History of Exact Sciences 65 (4):397-435.
Are perceptual fields quantum fields?Brian Flanagan - 2003 - Neuroquantology 3:334-364.
Unpublished Scientific Papers of Isaac Newton.Isaac Newton, A. Rupert Hall & Marie Boas Hall - 1963 - British Journal for the Philosophy of Science 13 (52):344-345.


Added to PP

209 (#96,656)

6 months
99 (#45,515)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

James Read
Oxford University
William Wolf
Oxford University

Citations of this work

Respecting boundaries: theoretical equivalence and structure beyond dynamics.William J. Wolf & James Read - 2023 - European Journal for Philosophy of Science 13 (4):1-28.
Cosmological inflation and meta-empirical theory assessment.William J. Wolf - 2024 - Studies in History and Philosophy of Science Part A 103 (C):146-158.

Add more citations

References found in this work

Empirical Consequences of Symmetries.David Wallace & Hilary Greaves - 2014 - British Journal for the Philosophy of Science 65 (1):59-89.
Are gauge symmetry transformations observable?Katherine Brading & Harvey R. Brown - 2004 - British Journal for the Philosophy of Science 55 (4):645-665.
Symmetry, Empirical Equivalence, and Identity.Simon Friederich - 2015 - British Journal for the Philosophy of Science 66 (3):537-559.

View all 6 references / Add more references