# Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.

@article{Lutchyn2010MajoranaFA, title={Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.}, author={R. M. Lutchyn and Jay Deep Sau and Sankar Das Sarma}, journal={Physical review letters}, year={2010}, volume={105 7}, pages={ 077001 } }

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…

## 1,804 Citations

All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures

- Physics
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Semiconductors in the proximity of superconductors have been proposed to support phases hosting Majorana bound states. When the systems undergo a topological phase transition towards the Majorana…

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Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in…

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- PhysicsPhysical review letters
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It is shown that under certain conditions the Josephson vortices fractionalize to half-vortices, each carrying half of the superconducting flux quantum and a single Majorana zero mode, and that the system allows for a current-controlled braiding of Majoranazero modes.

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Tuning experiments on semiconductor nanowires coupled to superconductors are performed to establish the zero-bias peak phase in the space of gate voltage and external magnetic field and provide means for Majorana manipulation as required for braiding and topological quantum bits.

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A time-reversal invariant topological superconductivity is suggested to be realized in a quasi-one-dimensional structure on a plane, which is fabricated by filling the superconducting materials into…

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We study low-energy excitations in a device, consisting of spin-orbit coupling semiconductor, s-wave superconductor and ferromagnetic insulator. A vortex in the device generates zero-energy Majorana…

Topological superconductor–Luttinger liquid junctions

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- 2013

Experimental evidence was recently obtained for topological superconductivity in spin–orbit coupled nanowires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire…

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- 2020

We calculate the linear conductance of a two-dimensional electron gas (2DEG)-based junction between a normal semiconductor section and a hybrid semiconductor-superconductor section, under…

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