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• W2763432008 abstract "At zero temperature, a two-dimensional lattice of Majorana zero modes on mesoscopic superconducting islands has a topologically ordered toric-code phase. Recently, a Landau field theory has been proposed for the system that captures its different phases and the associated phase transitions. It was shown that with the increase of Josephson tunneling between the islands, a continuous symmetry-breaking three-dimensional (3D)-XY transition gets transformed into a discrete symmetry-breaking 3D-Ising transition through a couple of tricritical points and first-order transitions. Using the proposed field theory, we analyze the charge response of the system at the different continuous phase transitions. We calculate the universal conductivity at the 3D-XY transitions and the change in the superconducting density at the Ising transition using 1/$N$ expansion. Furthermore, by computing a one-loop correction to the field theory, we show that an additional tricritical point is likely to be present in the phase diagram. Finally, we provide a mean-field calculation that supports the earlier proposed field theory." @default.
• W2763432008 created "2017-10-20" @default.
• W2763432008 creator A5019359291 @default.
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• W2763432008 date "2018-01-22" @default.
• W2763432008 modified "2023-09-23" @default.
• W2763432008 title "Charge response of the Majorana toric code" @default.
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• W2763432008 doi "https://doi.org/10.1103/physrevb.97.024512" @default.
• W2763432008 hasPublicationYear "2018" @default.
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