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On the origin of duality in the quantum Hall system · Around

2010

On the origin of duality in the quantum Hall system

Lütken, C. A., Ross, G. G.

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We discuss the possible origin of the duality observed in the quantum Hall current-voltage characteristics.

We clarify the difference between "particle-vortex" (complex modular) duality, which acts on the full transport tensor, and "charge-flux" ("real") duality, which acts directly on the filling factor.
Comparison with experiment strongly favors the form of duality which descends from the modular symmetry group acting holomorphically on the compexified conductivity.

Built on

S. Kivelson, D.-H. Lee, S.-C. Zhang, Phys. Rev. B 46
1992
Earlier work this paper cites.
C.A. Lütken, G.G. Ross, Phys. Rev. B 45
Original
1993
Earlier work this paper cites.
D. Shahar, D.C. Tsui, M. Shayegan, R.N. Bhatt, J.E. Cunningham, Phys. Rev. Lett. 74
1995
Earlier work this paper cites.

Similar

D. Shahar, D.C. Tsui, M. Shayegan, E. Shimshoni, S.L. Sondhi, Science 274
1996
Cited alongside, same era.
E. Shimshoni, S.L. Sondhi, D. Shahar, Phys. Rev. B 55
1997
Cited alongside, same era.
C.A. Lütken, G.G. Ross, to appear
Original
Cited in the paper.

Then

C. P. Burgess, Rim Dib, B. P. Dolan, Phys. Rev. B 62
2000
Later among the works it cites.
C. P. Burgess, B.P. Dolan, Phys. Rev. B 63
2002
Later among the works it cites.

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