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Helical liquids and Majorana bound states in quantum wires

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arxiv 1003.1145 v2 pith:473SOV2R submitted 2010-03-05 cond-mat.mes-hall cond-mat.supr-con

Helical liquids and Majorana bound states in quantum wires

Yuval Oreg , Gil Refael , Felix von Oppen This is my paper
classification cond-mat.mes-hall cond-mat.supr-con
keywords helicalboundliquidmajoranastatesfieldformationopposite
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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. We discuss experimental consequences of the formation of the helical liquid and the Majorana bound states.

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Cited by 4 Pith papers

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  3. Kitaev chain in synthetic dimension with cavity-controlled Majorana modes

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    A synthetic-dimension Kitaev chain is realized in a 2D electron gas coupled to an LC resonator, enabling cavity-controlled Majorana zero modes for topological quantum computing.

  4. Rotating Zeeman field as a tool for Majorana zero mode detection in topological superconducting wire

    cond-mat.mes-hall 2026-06 unverdicted novelty 5.0

    Rotating the Zeeman field in the wire attached to a quantum dot reveals Majorana zero modes through significant changes in dot spin polarization and identifies the topological transition via non-linear field dependence.