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Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order

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arxiv 1106.2598 v3 pith:Z2N57J2R submitted 2011-06-14 cond-mat.str-el cond-mat.supr-con

Lukasz Fidkowski , Roman M. Lutchyn , Chetan Nayak , Matthew P.A. Fisher This is my paper · ORCID
classification cond-mat.str-elcond-mat.supr-con
keywords superconductingmajoranamodesquantumwirezerocoupledfermion
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We show that long-ranged superconducting order is not necessary to guarantee the existence of Majorana fermion zero modes at the ends of a quantum wire. We formulate a concrete model which applies, for instance, to a semiconducting quantum wire with strong spin-orbit coupling and Zeeman splitting coupled to a wire with algebraically-decaying superconducting fluctuations. We solve this model by bosonization and show that it supports Majorana fermion zero modes. We argue that a large class of models will also show the same phenomenon. We discuss the implications for experiments on spin-orbit coupled nanowires coated with superconducting film and for LaAlO3/SrTiO3 interfaces.

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Cited by 4 Pith papers

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  1. Magnetic-texture winding controls fermion-parity switches in an interacting $p$-wave magnet ring

    cond-mat.str-el 2026-07 conditional novelty 7.0 of 10

    Magnetic-texture winding M imposes an exact boundary phase shift πM on every fixed-particle-number level of an interacting ring, which reverses the fermion-parity assignment between adjacent winding branches in the to...

  2. Duality Anomalies in Linearized Gravity

    hep-th 2025-04 conditional novelty 7.0 of 10

    Under the proposed instanton prescription, the linearized gravity partition function and its dual differ by a factor (κ/κ̃)^(1/2 χ(M;T*M)), so the theories are quantum inequivalent in even dimensions.

  3. 20 Second Parity Lifetime in an InAs--Pb Tetron Device

    cond-mat.mes-hall 2026-06 unverdicted novelty 6.0 of 10

    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.

  4. Distinct Lifetimes for $X$ and $Z$ Loop Measurements in a Majorana Tetron Device

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    A tetron device shows X and Z parity loops switching at 14.5 microseconds and 12.4 milliseconds, with assignment errors of 16% and 0.5%.

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