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Quantum phase transition of chiral Majorana fermions in the presence of disorder

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Two-dimensional chiral topological superconductors can be realized in clean quantum anomalous Hall insulators under $s$-wave superconducting proximity, as is predicted by band theory. Under disorder, random domain walls hosting chiral… Click to show full abstract

Two-dimensional chiral topological superconductors can be realized in clean quantum anomalous Hall insulators under $s$-wave superconducting proximity, as is predicted by band theory. Under disorder, random domain walls hosting chiral Majorana fermion arise in space, and conventional band theory becomes invalid. Employing percolation theory and the renormalization group method, the authors show that the disordered system still has a stable chiral topological superconductor phase, and exhibits a half-quantized conductance plateau as a feature. The critical exponents and temperature dependence of the conductance plateau and transitions are obtained, which can be tested by experiment.

Keywords: chiral majorana; phase transition; disorder; transition chiral; quantum phase

Journal Title: Physical Review B
Year Published: 2018

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