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Quantum Hall plateau transitions in disordered superconductors

V. Kagalovsky·B. Horovitz·Y. Avishai·J. T. Chalker
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Abstract

We study a delocalization transition for non-interacting quasiparticles moving in two dimensions, which belongs to a new symmetry class. This symmetry class can be realised in a dirty, gapless superconductor in which time reversal symmetry for orbital motion is broken, but spin rotation symmetry is intact. We find a direct transition between two insulating phases with quantized Hall conductances of zero and two for the conserved quasiparticles. The energy of quasiparticles acts as a relevant, symmetry-breaking field at the critical point, which splits the direct transition into two conventional plateau transitions.

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V. Kagalovsky, B. Horovitz, Y. Avishai, J. T. Chalker. 1998-12-09. Quantum Hall plateau transitions in disordered superconductors. https://doi.org/10.1103/physrevlett.82.3516

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