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Microwave signatures of the Z2 and Z4 fractional Josephson effects

P. L. S. Lopes, S. Boutin, P. Karan, U. C. Mendes, I. Garate

DOI 10.1103/PhysRevB.99.045103 · Physical Review B

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Abstract

We present a many-body exact diagonalization study of the Z2 and Z4 Josephson effects in circuit quantum electrodynamics architectures. Numerical simulations are conducted on Kitaev chain Josephson junctions hosting nearest-neighbor Coulomb interactions. The low-energy effective theory of highly transparent Kitaev chain junctions is shown to be identical to that of junctions created at the edge of a quantum spin Hall insulator. By capacitively coupling the interacting junction to a microwave resonator, we predict signatures of the fractional Josephson effects on the cavity frequency and on time-resolved reflectivity measurements.

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FormulaReported Tc (K)Pressure (GPa)Type
FeSe

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—Pressure not reportedunknown

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