nLab Chetan Nayak

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Selected writings

On 2d logarithmic CFT for generalized Laughlin wavefunctions:

• Victor Gurarie, Michael Flohr, Chetan Nayak, The Haldane-Rezayi Quantum Hall State and Conformal Field Theory, Nucl. Phys. B 498 (1997) 513-538 $[$arXiv:cond-mat/9701212, doi:10.1016/S0550-3213%2897%2900351-9$]$

On anyons in fractional quantum Hall systems as potential hardware for topological quantum computing:

• Sankar Das Sarma, Michael Freedman, Chetan Nayak: Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State, Phys. Rev. Lett. 94 166802 (2005) [doi:10.1103/PhysRevLett.94.166802, arXiv:cond-mat/0412343]

On topological order:

• Masaki Oshikawa, Yong Baek Kim, Kirill Shtengel, Chetan Nayak, Sumanta Tewari, Topological degeneracy of non-Abelian states for dummies, Annals of Physics 322 6 (2007) 1477-1498 [doi:10.1016/j.aop.2006.08.001, arXiv:cond-mat/0607743]

On topological quantum computation with anyons:

• Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Sankar Das Sarma, Non-Abelian Anyons and Topological Quantum Computation, Rev. Mod. Phys. 80, 1083 (2008) (arXiv:0707.1888)

On wreath products of a cyclic with a symmetric group as analogs of (anyon) braid groups in dimension $\gt 2$:

• Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Kevin Walker, Zhenghan Wang: Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions, Phys. Rev. B 83 115132 (2011) [doi:10.1103/PhysRevB.83.115132, arXiv:1005.0583]

On the bulk-edge correspondence for quantum Hall systems via abelian Chern-Simons theory:

• Jennifer Cano, Meng Cheng, Michael Mulligan, Chetan Nayak, Eugeniu Plamadeala, Jon Yard: Bulk-Edge Correspondence in $2+1$-Dimensional Abelian Topological Phases, Phys. Rev. B 89 (2014) 115116 [arXiv:1310.5708, doi:10.1103/PhysRevB.89.115116]

On non-abelian (parafermionic) defect anyons associated with superconducting islands inside abelian fractional quantum Hall systems:

• Roger S. K. Mong, David J. Clarke, Jason Alicea, Netanel H. Lindner, Paul Fendley, Chetan Nayak, Yuval Oreg, Ady Stern, Erez Berg, Kirill Shtengel, Matthew P. A. Fisher: Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure, Phys. Rev. X 4 (2014) 011036 [arXiv:1307.4403, doi:10.1103/PhysRevX.4.011036]

On anyons in topological superconductors (Majorana zero modes):

• Sankar Das Sarma, Michael Freedman, Chetan Nayak, Majorana Zero Modes and Topological Quantum Computation, npj Quantum Information 1, 15001 (2015) (nature:npjqi20151)

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