Minimal models for a superconductor-insulator conformal quantum phase transition

DOI10.1088/1751-8113/46/11/115003zbMATH Open1277.82072arXiv1205.2890OpenAlexW3099886262MaRDI QIDQ4924190

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Publication date: 30 May 2013

Published in: (Search for Journal in Brave)

Abstract: Conformal field theories do not only classify 2D classical critical behavior but they also govern a certain class of 2D quantum critical behavior. In this latter case it is the ground state wave functional of the quantum theory that is conformally invariant, rather than the classical action. We show that the superconducting-insulating (SI) quantum phase transition in 2D Josephson junction arrays (JJAs) is a (doubled) $c=1$ Gaussian conformal quantum critical point. The quantum action describing this system is a doubled Maxwell-Chern-Simons model in the strong coupling limit. We also argue that the SI quantum transitions in frustrated JJAs realize the other possible universality classes of conformal quantum critical behavior, corresponding to the unitary minimal models at central charge $c=1-6/m(m+1)$.

Full work available at URL: https://arxiv.org/abs/1205.2890

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