New directions in the pursuit of Majorana fermions in solid state systems
- J. Alicea
- PhysicsReports on progress in physics. Physical Society
- 6 February 2012
This review paper highlights recent advances in the condensed matter search for Majorana that have led many in the field to believe that this quest may soon bear fruit and discusses the most remarkable properties of condensed matter Majorana fermions-the non-Abelian exchange statistics that they generate and their associated potential for quantum computation.
Non-Abelian statistics and topological quantum information processing in 1D wire networks
The synthesis of a quantum computer remains an ongoing challenge in modern physics. Whereas decoherence stymies most approaches, topological quantum computation schemes evade decoherence at the…
Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes
- T. Karzig, Christina Knapp, M. Freedman
- Physics
- 17 October 2016
We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that…
Engineering a robust quantum spin Hall state in graphene via adatom deposition
PHYSICAL REVIEW X 1, 021001 (2011) Engineering a Robust Quantum Spin Hall State in Graphene via Adatom Deposition Conan Weeks, 1 Jun Hu, 2 Jason Alicea, 2 Marcel Franz, 1 and Ruqian Wu 2 Department…
Majorana fermions in a tunable semiconductor device
- J. Alicea
- Physics
- 10 December 2009
The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et…
Milestones toward Majorana-based quantum computing
We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in…
Exotic non-Abelian anyons from conventional fractional quantum Hall states
- D. Clarke, J. Alicea, K. Shtengel
- PhysicsNature Communications
- 24 April 2012
A device fabricated from conventional fractional quantum Hall states and s-wave superconductors that supports exotic non-defects binding parafermionic zero modes, which generalize Majorana bound states are introduced.
Order-by-disorder and spiral spin-liquid in frustrated diamond-lattice antiferromagnets
- D. Bergman, J. Alicea, E. Gull, S. Trebst, L. Balents
- Physics
- 30 November 2006
Frustration refers to competition between different interactions that cannot be simultaneously satisfied—a familiar feature in many magnetic solids. Strong frustration leads to highly degenerate…
Majorana fermions in equilibrium and in driven cold-atom quantum wires.
- Liang Jiang, T. Kitagawa, P. Zoller
- PhysicsPhysical Review Letters
- 25 February 2011
A new approach to create and detect Majorana fermions using optically trapped 1D fermionic atoms using an optical Raman transition-simultaneously inducing an effective spin-orbit interaction and magnetic field while a background molecular BEC cloud generates s-wave pairing for the atoms.
Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
- L. Fidkowski, J. Alicea, N. Lindner, R. Lutchyn, M. Fisher
- Physics
- 21 March 2012
One of the most promising proposals for engineering topological superconductivity and Majorana fermions employs a spin-orbit coupled nanowire subjected to a magnetic field and proximate to an s-wave…
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