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Superconducting Qubits

Majorana modes in solid state systems and its dynamics

arXiv
Authors: Qi Zhang, Biao Wu

Year

2016

Paper ID

43451

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from its counterpart in particle physics. We define Majorana modes as the eigenstates of Majorana operators and find that they can exist both at edges and in the bulk. According to our definition, only one single Majorana mode can exist in a system no matter at edges or in the bulk. Kitaev's spinless p-wave superconductor is used to illustrate our results and the dynamical behavior of the Majorana modes.

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  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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  • We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different.

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