Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
arXiv:cond-mat/0508616 · doi:10.1103/PhysRevLett.96.016803
Abstract
In this letter we propose an interferometric experiment to detect non-Abelian quasiparticle statistics -- one of the hallmark characteristics of the Moore-Read state expected to describe the observed FQHE plateau at nu=5/2. The implications for using this state for constructing a topologically protected qubit as has been recently proposed by Das Sarma et. al. are also addressed.
arXiv comment5 pages, 2 eps figures v2: A few minor changes and citation corrections. In particular, the connection to cond-mat/9711087 has been clarified. v3: Minor changes: fixed references to Fig. 2, updated citations, changed a few words to conform to the version published in PRL
References in corpus (18)
- Fault-tolerant quantum computation by anyons
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Quasihole States Realize -Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
- Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
- Transition from quantum Hall to compressible states in the second Landau level: new light on the =5/2 enigma
- Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Exact Quantization of Even-Denominator Fractional Quantum Hall State at =5/2 Landau Level Filling Factor
- Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
- Quasiholes and fermionic zero modes of paired fractional quantum Hall states: the mechanism for nonabelian statistics
- Insulating and Fractional Quantum Hall States in the N=1 Landau Level
- A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
- Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
- Geometric phases and quantum entanglement as building blocks for nonabelian quasiparticle statistics
- Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
- Experimental Evidence for a Spin-Polarized Ground State in the ν=5/2 Fractional Quantum Hall Effect
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- Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
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