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Quantum Kasteleyn transition

Powell, Stephen

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Dimer models arise as effective descriptions in a variety of physical contexts, and provide paradigmatic examples of systems subject to strong local constraints. Here we present a quantum version of the venerable Kasteleyn model, which has an unusual phase transition from a dimer solid to a U(1) liquid. We show how the phase structure of the quantum model can be understood in terms of the quantum mechanics of one-dimensional strings and determine the exact value of the critical coupling. By constructing effective models to describe the properties of these strings, we calculate properties such as the dimer-dimer correlation function in the neighborhood of the transition. We also discuss the full phase structure of the model, in the ground state and at nonzero temperature.


Powell, S. (2022). Quantum Kasteleyn transition. Physical Review B, 105(6), Article 064413.

Journal Article Type Article
Acceptance Date Feb 1, 2022
Online Publication Date Feb 9, 2022
Publication Date Feb 1, 2022
Deposit Date Feb 2, 2022
Publicly Available Date Feb 14, 2022
Journal Physical Review B
Print ISSN 2469-9950
Electronic ISSN 2469-9969
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 105
Issue 6
Article Number 064413
Public URL
Publisher URL


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