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… 
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References

SHOWING 1-10 OF 30 REFERENCES
Semiconductors
Semiconductors and SemimetalsEdited by R. K. Willardson and Albert C. Beer. Vol. 1: Physics of III–V Compounds. Pp. xii + 500. (New York: Academic Press, Inc.; London: Academic Press, Inc. (London),…
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…
Physics-Uspekhi 44
  • 131
  • 2001
Physics-Uspekhi
  • Physics-Uspekhi
  • 2001
Phys
  • Rev. B 81, 125318
  • 2010
「Science」與「Nature」之科學計量分析
Rev. Mod. Phys
  • Rev. Mod. Phys
  • 2008
Phys
  • Rev. Lett. 94, 166802 (2005); L. Fu and C. L. Kane, Phys. Rev. Lett. 100, 096407 (2008); G.E. Volovik, JETP Lett. 90, 398 (2009); J. Linder et al., Phys. Rev. Lett. 104, 067001 (2010); M. Wimmer et al., Phys. Rev. Lett. 105, 046803
  • 2010
Phys. Rev. B
  • Phys. Rev. B
  • 1997
Phys
  • Rev. B 61, 10267
  • 2000
...
...