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Helical liquids and Majorana bound states in quantum wires · Around

2010

Helical liquids and Majorana bound states in quantum wires

Oreg, Yuval, Refael, Gil, von Oppen, Felix

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We show that the combination of spin-orbit coupling with a Zeeman field or strong interactions may lead to the formation of a helical liquid in single-channel quantum wires.

In a helical liquid, electrons with opposite velocities have opposite spin precession.
We argue that zero-energy Majorana bound states are formed in various situations when the wire is situated in proximity to a conventional s-wave superconductor.
This occurs when the external magnetic field, the superconducting gap, or, in particular, the chemical potential vary along the wire.

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Similar to the case of topological insulators the analogy can be made precise by a unitary transformation Fu08

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R. M. Lutchyn, J. D. Sau, and S. D. Sarma, arXiv:1002.4033

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2010

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