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Effect of incommensurate potential on the resonant tunneling through Majorana bound states on the topological superconductor chains
Authors:Pei?Wang  author-information"  >  author-information__contact u-icon-before"  >  mailto:wangpei@zjut.edu.cn"   title="  wangpei@zjut.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Shu?Chen,Gao?Xianlong
Affiliation:1.Institute of Applied Physics,Zhejiang University of Technology,Hangzhou,P.R. China;2.Beijing National Laboratory for Condensed Matter Physics, Institute of Physics,Chinese Academy of Sciences,Beijing,P.R. China;3.Department of Physics,Zhejiang Normal University,Jinhua,P.R. China
Abstract:We study the transport through the Kitaev chain with incommensurate potentials coupled to two normal leads by the numerical operator method. We find a quantized linear conductance of e 2 / h, which is independent to the disorder strength and the gate voltage in a wide range, signaling the Majorana bound states. While the incommensurate potential suppresses the current at finite voltage bias, and then narrows the linear response regime of the I-V curve which exhibits two plateaus corresponding to the superconducting gap and the band edge, respectively. The linear conductance abruptly drops to zero as the disorder strength reaches the critical value 2g s + 2Δ with Δ the p-wave pairing amplitude and g s the hopping between neighbor sites, corresponding to the transition from the topological superconducting phase to the Anderson localized phase. Changing the gate voltage also causes an abrupt drop of the linear conductance by driving the chain into the topologically trivial superconducting phase, whose I-V curve exhibits an exponential shape.
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