Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems

  title={Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems},
  author={Jay Deep Sau and Sumanta Tewari and R. M. Lutchyn and Tudor D Stanescu and Sankar Das Sarma},
  journal={Physical Review B},
We show that an ordinary semiconducting thin film with spin-orbit coupling can, under ap- propriate circumstances, be in a quantum topologically ordered state supporting exotic Majorana excitations which follow non-Abelian statistics. The key to the quantum topological order is the coexistence of spin-orbit coupling with proximity-induced s-wave superconductivity and an externally-induced Zeeman coupling of the spins. For the Zeeman coupling below a critical value, the system is a non… 
Topologically non-trivial superconductivity in spin–orbit-coupled systems: bulk phases and quantum phase transitions
Topologically non-trivial superconductivity has been predicted to occur in superconductors with a sizable spin–orbit (SO) coupling in the presence of an external Zeeman splitting. Two such systems
Tuning spin orbit interaction in high quality gate-defined InAs one-dimensional channels
Spin-orbit coupling in solids describes an interaction between an electron's spin, an internal quantum-mechanical degree of freedom, with its linear momentum, an external property. Spin-orbit
Spin-Orbit Coupled s-Wave Superconductor in One-Dimensional Optical Lattice
We study the topological properties of spin-orbit coupled s-wave superconductor in one-dimensional optical lattice. Compared to its corresponding continuum model, the single particle spectrum is
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We study the non-abelian statistics characterizing systems where counter-propagating gapless modes on the edges of fractional quantum Hall states are gapped by proximity-coupling to superconductors
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Interplay between Kondo and Majorana Interactions in Quantum Dots
We study the properties of a quantum dot coupled to a one-dimensional topological superconductor and a normal lead and discuss the interplay between Kondo and Majorana-induced couplings in quantum
Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
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Majorana fermions in semiconductor nanowires: fundamentals, modeling, and experiment.
  • T. Stanescu, S. Tewari
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2013
This review provides an update on the current status of the search for Majorana fermions in semiconductor nanowires by focusing on the recent developments, in particular the period following the first reports of experimental signatures consistent with the realization of Majorana bound states in semiconducting nanowire-superconductor hybrid structures.


Fractional statistics and anyon superconductivity
The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones. In a remarkable case, the