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Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures

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arxiv 1002.4033 v2 pith:P6O3TYZK submitted 2010-02-22 cond-mat.supr-con cond-mat.str-el

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures

classification cond-mat.supr-con cond-mat.str-el
keywords majoranaphasetransitionenergyexperimentalheterostructuresjunctionphases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong spin-orbit Rashba interaction embedded into a superconducting quantum interference device. We show that the energy spectra of the Andreev bound states at the junction are qualitatively different in topologically trivial (i.e., not containing any Majorana) and nontrivial phases having an even and odd number of crossings at zero energy, respectively. The measurement of the supercurrent through the junction allows one to discern topologically distinct phases and observe a topological phase transition by simply changing the in-plane magnetic field or the gate voltage. The observation of this phase transition will be a direct demonstration of the existence of Majorana particles.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    cond-mat.mtrl-sci 2026-06 unverdicted novelty 7.0

    Bilayer odd-parity coplanar magnets constructed from altermagnets realize tunable nonrelativistic SOC spin textures equivalent to relativistic counterparts.

  2. 20 Second Parity Lifetime in an InAs--Pb Tetron Device

    cond-mat.mes-hall 2026-06 unverdicted novelty 6.0

    InAs-Pb hybrid nanowire tetron achieves ~20 s parity switching time with h/2e-periodic bimodal capacitance shifts, using a new rf technique to resolve wire-end states at μeV precision.

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

    cond-mat.mes-hall 2026-05 unverdicted novelty 6.0

    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.