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Strong-Weak Coupling Self-Duality in the Two-Dimensional Quantum Phase Transition of p+ip Superconducting Arrays

Cenke Xu, J. E. Moore

DOI 10.1103/PhysRevLett.93.047003 · Physical Review Letters

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Abstract

The 2D quantum phase transition that occurs in a square lattice of Josephson-coupled p±ip superconductors is an example of how four-body interactions in d=2 reproduce nonperturbative effects caused by two-body interactions in d=1. The ordered phase has an unconventional “bond order” of the local T-breaking variable. This problem can be analyzed using an exact self-duality; this duality in classical notation is the 3D generalization of the Kramers-Wannier duality of the 2D Ising model, and there are similar exact dualities in dimensions d≥3. We discuss the excitation spectrum and experimental signatures of the ordered and disordered phases, and the relationship between our model and previously studied behavior of 2D boson models with four-boson interactions.

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FormulaReported Tc (K)Pressure (GPa)Type
Sr2RuO4

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—Pressure not reportedunknown

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