G. Fáth and J. Sólyom, Phys. Rev. B 44
1991
Cited alongside, same era.
More precisely U q [ S U ( 2 ) ] U_{q}[SU(2)] with q q a root of unity. See, e.g., C. Kassel, Quantum Groups
1995
Cited alongside, same era.
N. Read and E. Rezayi, Phys. Rev. B 59
1999
Cited alongside, same era.
N. Read and D. Green, Phys. Rev. B 61
2000
Cited alongside, same era.
N. Read and A.W.W. Ludwig, Phys. Rev. B 63
2000
Cited alongside, same era.
see e.g., N.R. Cooper, N.K. Wilkin, and J.M.F. Gunn, Phys. Rev. Lett. 87
2001
Cited alongside, same era.
A. Läuchli, et al
2006
Cited alongside, same era.
See EPAPS document No. xxxx
Cited in the paper.
The fusion rules imply that 1 / 2 × k / 2 = ( k − 1 ) / 2 1/2\times k/2=(k-1)/2 and ( k − 1 ) / 2 × ( k − 1 ) / 2 = 0 + 1 (k-1)/2\times(k-1)/2=0+1 . The spin-1/2 chains we consider for odd k k are based on the j = ( k − 1 ) / 2 j=(k-1)/2 representation
Cited in the paper.
C. Gils, et al
Cited in the paper.
Consider joining su ( 2 ) k {\rm su(2)}_{k} and su ( 2 ) k − 1 × su ( 2 ) 1 {\rm su(2)}_{k-1}\times{\rm su(2)}_{1} Hall liquids along a line, letting first vacuum
Cited in the paper.
We can also rewrite this statement by bringing the Abelian factor su ( 2 ) 1 {\rm su(2)}_{1} , a semion, from the fluid X X to the edge. We then arrive at the statement that juxtaposition of the two topological fluids su ( 2 ) k {\rm su(2)}_{k} and su ( 2 ) k − 1 {\rm su(2)}_{k-1} , namely Read-Rezayi states, along a line yields an edge consisting of the (neutral) ℳ k {\cal M}_{k} theory and a charged semion s u ( 2 ) 1 su(2)_{1} moving in the opposite direction. For corresponding fermionic quantum Hall fluids the edge state between parafermionic Z k Z_{k} and Z k − 1 Z_{k-1} Read-Rezayi states is the neutral CFT ℳ k {\cal M}_{k} and an oppositely moving Abelian u ( 1 ) u(1) edge state. For k = 3 k=3 , a tricritical Ising model ℳ 3 {\cal M}_{3} neutral edge appears between the Z 3 Z_{3} Read-Rezayi and Z 2 Z_{2} Moore-Read states
Cited in the paper.