Chiral zero modes in superconducting nanowires with Dresselhaus spin-orbit coupling

Abstract

Using chiral decomposition, we are able to find analytically the zero modes and the conditions for such modes to exist in the Kitaev ladder model and superconducting nanowires with Dresselhaus spin-orbit coupling. As a result, we are able to calculate the number of zero modes in these systems for arbitrary given parameters in the semi-infinite limit. Moreover, we find that when suitable resonance condition is satisfied exact zero modes exist even in finite systems contrary to the common belief.

arXiv comment9 pages, 11 figures

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• Topological superconductivity and Majorana states in low-dimensional systems
• Level crossings induced by a longitudinal coupling in the transverse field Ising chain
• Topological and quantum critical properties of the interacting Majorana chain model
• Robustness of Majorana edge states of short-length Kitaev chains coupled with environment
• Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
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