Details
| Original language | English |
|---|---|
| Pages (from-to) | 513-538 |
| Number of pages | 26 |
| Journal | Nuclear Physics B |
| Volume | 498 |
| Issue number | 3 |
| Publication status | Published - 11 Aug 1997 |
| Externally published | Yes |
Abstract
We propose field theories for the bulk and edge of a quantum Hall state in the universality class of the Haldane-Rezayi wavefunction. The bulk theory is associated with the c = -2 conformal field theory. The topological properties of the state, such as the quasiparticle braiding statistics and ground state degeneracy on a torus, may be deduced from this conformal field theory. The 10-fold degeneracy on a torus is explained by the existence of a logarithmic operator in the c = -2 theory; this operator corresponds to a novel bulk excitation in the quantum Hall state. We argue that the edge theory is the c = 1 chiral Dirac fermion, which is related in a simple way to the c = -2 theory of the bulk. This theory is reformulated as a truncated version of a doublet of Dirac fermions in which the SU(2) symmetry - which corresponds to the spin-rotational symmetry of the quantum Hall system - is manifest and non-local. We make predictions for the current-voltage characteristics for transport through point contacts.
Keywords
- Conformal field theory, Fractional quantum Hall effect, Non-abelian statistics
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 498, No. 3, 11.08.1997, p. 513-538.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The Haldane-Rezayi quantum Hall state and conformal field theory
AU - Gurarie, V.
AU - Flohr, M.
AU - Nayak, C.
N1 - (~) 1997 Published by Elsevier Science B.V. All rights reserved. PH S0550-32 1 3 (97)0035 1-9
PY - 1997/8/11
Y1 - 1997/8/11
N2 - We propose field theories for the bulk and edge of a quantum Hall state in the universality class of the Haldane-Rezayi wavefunction. The bulk theory is associated with the c = -2 conformal field theory. The topological properties of the state, such as the quasiparticle braiding statistics and ground state degeneracy on a torus, may be deduced from this conformal field theory. The 10-fold degeneracy on a torus is explained by the existence of a logarithmic operator in the c = -2 theory; this operator corresponds to a novel bulk excitation in the quantum Hall state. We argue that the edge theory is the c = 1 chiral Dirac fermion, which is related in a simple way to the c = -2 theory of the bulk. This theory is reformulated as a truncated version of a doublet of Dirac fermions in which the SU(2) symmetry - which corresponds to the spin-rotational symmetry of the quantum Hall system - is manifest and non-local. We make predictions for the current-voltage characteristics for transport through point contacts.
AB - We propose field theories for the bulk and edge of a quantum Hall state in the universality class of the Haldane-Rezayi wavefunction. The bulk theory is associated with the c = -2 conformal field theory. The topological properties of the state, such as the quasiparticle braiding statistics and ground state degeneracy on a torus, may be deduced from this conformal field theory. The 10-fold degeneracy on a torus is explained by the existence of a logarithmic operator in the c = -2 theory; this operator corresponds to a novel bulk excitation in the quantum Hall state. We argue that the edge theory is the c = 1 chiral Dirac fermion, which is related in a simple way to the c = -2 theory of the bulk. This theory is reformulated as a truncated version of a doublet of Dirac fermions in which the SU(2) symmetry - which corresponds to the spin-rotational symmetry of the quantum Hall system - is manifest and non-local. We make predictions for the current-voltage characteristics for transport through point contacts.
KW - Conformal field theory
KW - Fractional quantum Hall effect
KW - Non-abelian statistics
UR - http://www.scopus.com/inward/record.url?scp=0031564927&partnerID=8YFLogxK
U2 - 10.48550/arXiv.cond-mat/9701212
DO - 10.48550/arXiv.cond-mat/9701212
M3 - Article
AN - SCOPUS:0031564927
VL - 498
SP - 513
EP - 538
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -