Helical liquids and Majorana bound states in quantum wires.

By Y. Oreg, G. Refael, F. von Oppen. Physical Review Letters, 2010

2,196 citations recorded by the source corpus.

We show that the combination of spin-orbit coupling with a Zeeman field or strong interactions may lead to the formation of a helical electron liquid in single-channel quantum wires, with spin and velocity perfectly correlated. We argue that zero-energy Majorana bound states are formed in various situations when such wires are situated in proximity to a conventional s-wave superconductor. This occurs when the external magnetic field, the superconducting gap, or, most simply, the chemical potential vary along the wire. These Majorana states do not require the presence of a vortex in the system. Experimental consequences of the helical liquid and the Majorana states are also discussed.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/1531cde045db041a410e3b0f4bf6ee979347483a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Masatoshi Sato
2. C. Beenakker
3. Y. Ando
4. J. Alicea
5. Ashvin Vishwanath
6. K. Kawabata
7. Masahito Ueda
8. C. Nayak

In Condensed Matter Physics

1. Masatoshi Sato
2. Y. Ando
3. C. Beenakker
4. J. Alicea
5. M. Pretko
6. Masahito Ueda
7. J. Linder
8. K. Kawabata

Citations in the corpus

• Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes (2016, background): “Here, we assume that quantum dot is in the spinless regime due to the large magnetic field necessary to drive the semiconductor nanowires into the topological phase [8, 9].”
• Effects of Gate-Induced Electric Fields on Semiconductor Majorana Nanowires (2018, background): “In this proposal, a magnetic field or another time-reversal breaking perturbation is needed to drive the system into the spinless topological regime [27, 28].”
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure (2013, background): “[69] Yuval Oreg, Gil Refael, and Felix von Oppen, “Helical Liquids and Majorana Bound States in Quantum Wires,” Phys.”
• Kitaev materials (2017, background): “The non-Abelian character of the latter is identical to that of a px+ ipy superconductor [31], the Moore-Read state [32] proposed for the ν = 5/2 fractional quantum Hall state, heterostructures of superconductors and topological band insulators [33] or semicoductors [34], as well as that of a networ”
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals (2016, neutral): “H130 = H135 = dkz(as2s3s3 + bs2s3s2 + cs2s3s1) + dkx(–ds1s3s0 + es1s2s3 + fs1s2s2 + gs1s2s1) + dky(–ds3s3s0 + es3s2s3 + fs3s2s2 + gs3s2s1) (6)”