Bimodal conductance distribution of Kitaev edge modes in topological superconductors

被引:26
作者
Diez, M. [1 ]
Fulga, I. C. [1 ]
Pikulin, D. I. [1 ]
Tworzydlo, J. [2 ]
Beenakker, C. W. J. [1 ]
机构
[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands
[2] Univ Warsaw, Fac Phys, Inst Theoret Phys, PL-00681 Warsaw, Poland
来源
NEW JOURNAL OF PHYSICS | 2014年 / 16卷
关键词
topological superconductivity; edge modes; Kitaev chain; QUANTIZED HALL CONDUCTANCE; SCATTERING; LOCALIZATION; INSULATORS;
D O I
10.1088/1367-2630/16/6/063049
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A two-dimensional superconductor with spin-triplet p-wave pairing supports chiral or helical Majorana edge modes with a quantized (length L-independent) thermal conductance. Sufficiently strong anisotropy removes both chirality and helicity, doubling the conductance in the clean system and imposing a super-Ohmic 1/root L decay in the presence of disorder. We explain the absence of localization in the framework of the Kitaev Hamiltonian, contrasting the edge modes of the two-dimensional system with the one-dimensional Kitaev chain. While the disordered Kitaev chain has a log-normal conductance distribution peaked at an exponentially small value, the Kitaev edge has a bimodal distribution with a second peak near the conductance quantum. Shot noise provides an alternative, purely electrical method of detection of these charge-neutral edge modes.
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页数:20
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