2012

Edge state inner products and real-space entanglement spectrum of trial quantum Hall states

Dubail, J., Read, N., Rezayi, E. H.

Understand

We consider the trial wavefunctions for the Fractional Quantum Hall Effect (FQHE) that are given by conformal blocks, and construct their associated edge excited states in full generality.

The inner products between these edge states are computed in the thermodynamic limit, assuming generalized screening (i.e.
short-range correlations only) inside the quantum Hall droplet, and using the language of boundary conformal field theory (boundary CFT).
These inner products take universal values in this limit: they are equal to the corresponding inner products in the bulk 2d chiral CFT which underlies the trial wavefunction.

Built on

H.B. Nielsen and M. Ninomiya, Phys. Lett. B 105
1981
Earlier work this paper cites.
R.B. Laughlin, Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
F.D.M. Haldane, Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
D. Arovas, J.R. Schrieffer and F. Wilczek, Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
J.L. Cardy, Nucl. Phys. B 240
1984
Earlier work this paper cites.
V.A. Fateev and A.B. Zamolodchikov, Sov. Phys. JETP 62
1985
Earlier work this paper cites.
H.W. Diehl, The theory of boundary critical phenomena
1986
Earlier work this paper cites.
V.A. Fateev and A.B. Zamolodchikov, Nucl. Phys. B 280
1987
Earlier work this paper cites.
I. Affleck, T. Kennedy, E.H. Lieb and H. Tasaki, Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
V.A. Fateev and S.L. Lukyanov, Int. J. Mod. Phys. A 3
1988
Earlier work this paper cites.
E. Witten, Commun. Math. Phys. 121
1989
Earlier work this paper cites.
J.L. Cardy, Nucl. Phys. B 324
1989
Earlier work this paper cites.
N. Ishibashi, Mod. Phys. Lett. A 4
1989
Earlier work this paper cites.
G. Moore and N. Read, Nucl. Phys. B 360
1991
Earlier work this paper cites.
X.-G. Wen, Int. J. Mod. Phys. B 6
1992
Earlier work this paper cites.
C. Itzykson, H. Saleur, J.B. Zuber (eds.), Conformal Invariance and applications to statistical mechanics
1992
Earlier work this paper cites.
S.R. White, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
A. Cappelli, C.A. Trugenberg and G.R. Zemba, Phys. Lett. B 306
1993
Earlier work this paper cites.
P. Bouwknegt and K. Schoutens (eds.), W-symmetry
1995
Earlier work this paper cites.
M. Milovanović and N. Read, Phys. Rev. B 53
1996
Earlier work this paper cites.
C. Nayak and F. Wilczek, Nucl. Phys. B 479
1996
Earlier work this paper cites.
J.L. Cardy, Scaling and Renormalization in Statistical Physics
1996
Earlier work this paper cites.
P. Di Francesco, P. Mathieu, D. Sénéchal, Conformal Field Theory
1997
Earlier work this paper cites.
V. Gurarie and C. Nayak, Nucl. Phys. B 506
1997
Earlier work this paper cites.
J.D. Jackson, Classical Electrodynamics
1998
Earlier work this paper cites.
N. Read and E.H. Rezayi, Phys. Rev. B 59
1999
Earlier work this paper cites.
M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information
2000
Earlier work this paper cites.
N. Read and D. Green, Phys. Rev. B 61
2000
Earlier work this paper cites.

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2007
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Then

R. Thomale, A. Sterdyniak, N. Regnault and B.A. Bernevig, Phys. Rev. Lett. 104
2010
Later among the works it cites.
I.D. Rodriguez and G. Sierra, Phys. Rev. B 80
2010
Later among the works it cites.
L. Fidkowski, Phys. Rev. Lett. 104
2010
Later among the works it cites.
A.M. Turner, Y. Zhang and A. Vishwanath, Phys. Rev. B 82
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T.L. Jackson, N. Read and S.H. Simon, in preparation
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2010
Later among the works it cites.
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2010
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J. Dubail and N. Read, Phys. Rev. Lett. 107
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A. Chandran, M. Hermanns, N. Regnault and B.A. Bernevig, Phys. Rev. B 84
2011
Later among the works it cites.
A. Sterdyniak, B.A. Bernevig, N. Regnault and F.D.M. Haldane, New J. Phys. 13
2011
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P. Bonderson, V. Gurarie and C. Nayak, Nucl. Phys. B 83
2011
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R. Shankar and A. Vishwanath, Phys. Rev. Lett 107
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S. Shakirov, Phys. Lett. A 375
2011
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N. Read and E.H. Rezayi, Phys. Rev. B 84
2011
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A.M. Turner, F. Pollmann and E. Berg, Phys. Rev. B 83
2011
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L. Fidkowski and A. Kitaev, Phys. Rev. B 83
2011
Later among the works it cites.
X. Chen, Z.-C. Gu and X.-G. Wen, Phys. Rev. B 83
2011
Later among the works it cites.
N. Schuch, D. Perez-Garcia and I. Cirac, Phys. Rev. B 84
2011
Later among the works it cites.
J.I. Cirac, D. Poilblanc, N. Schuch and F. Verstraete, Phys. Rev. B 83
2011
Later among the works it cites.
J. Dubail, N. Read and E.H. Rezayi, Phys. Rev. B 85
2012
Closest in time.
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2012
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2012
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B. Estienne, V. Pasquier, R. Santachiara and D. Serban, Nucl. Phys. B 860
2012
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X.-L. Qi, H. Katsura and A.W.W. Ludwig, Phys. Rev. Lett. 108
2012
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B. Swingle and T. Senthil, Phys. Rev. B 86
2012
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E. Herland et al., Phys. Rev. B 85
2012
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B.A. Bernevig, P. Bonderson and N. Regnault, arXiv:1207.3305 (2012)
Original
2012
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M.P Zaletel and R.S.K Mong, arXiv:1208.4862 (2012)
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2012
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