nLab Nicholas Read

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Selected writings

On quantum spin liquids (then called “resonating-valence-bond states”):

• Nicholas Read, B. Chakraborty, Statistics of the excitations of the resonating-valence-bond state, Phys. Rev. B 40 (1989) 7133 [doi:10.1103/PhysRevB.40.7133]

On anyons in the fractional quantum Hall effect satisfying non-abelian braid group statistics and introducing the Moore-Read states:

• Gregory Moore, Nicholas Read: Nonabelions in the fractional quantum Hall effect, Nucl. Phys. B 360 (1991) 362 [doi:10.1016/0550-3213(91)90407-O, pdf]

and generalization to su(2)-anyons via parafermions:

• Nicholas Read, Edward Rezayi, Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level, Phys. Rev. B 59 (1999) 8084 [doi:10.1103/PhysRevB.59.8084]

On anyonic Majorana zero modes in topological superconductors:

• Nicholas Read, Dmitry Green, Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect, Phys. Rev. B 61 10267 (2000) [arXiv:cond-mat/9906453]

Indication that the effective abelian Chern-Simons theory describing the fractional quantum Hall effect has to be understood, in general, as a spin Chern-Simons theory:

• Moore & Read 1991 p. 381 (20 of 35

• Zhenghan Wang on joint work with N. Read: Spin MTC and Fermionic QH States, talk at Workshop on Topological Phases in Condensed Matter 2008, University of Illinois (2008) [pdf, pdf]

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