Quantization of Hall Conductance For Interacting Electrons Without Averaging Assumptions

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E. H. Lieb and D. W. Robinson, Commun. Math. Phys. 28
1972
Earlier work this paper cites.
R. B. Laughlin, “Quantized Hall conductivity in two dimensions”, Phys. Rev. B 23
1981
Earlier work this paper cites.
J.E. Avron and R. Seiler, Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
Q. Niu, D. J. Thouless, and Y.-S. Wu, Phys. Rev. B 31
1985
Earlier work this paper cites.
D. J. Thouless and Y. Gefen, Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
J. Bellisssard, A. van Elst, and H. Shultz-Baldes, “The Noncommutative Geometry of the Quantum Hall effect”, J. Math. Phys. 35
1994
Earlier work this paper cites.

D. J. Thouless, “Topological Quantum Numbers in Nonrelativistic Physics”, World Scientific (1998)
1998
Cited alongside, same era.
M. B. Hastings, Phys. Rev. B 69
2004
Cited alongside, same era.
M. B. Hastings and X.-G. Wen, Phys. Rev. B 72
2005
Cited alongside, same era.
M. B. Hastings, “Sufficient Conditions for Topological Order in Insulators”, Europhys. Lett. 70
2005
Cited alongside, same era.
M. B. Hastings and T. Koma, Commun. Math. Phys. 265
2006
Cited alongside, same era.
B. Nachtergaele and R. Sims, Commun. Math. Phys. 265
2006
Cited alongside, same era.

S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. 97
2006
Later among the works it cites.
T. J. Osborne, Phys. Rev. A 75
2007
Later among the works it cites.
M. B. Hastings, JSTAT, P05010 (2007)
2007
Later among the works it cites.
B. Nachtergaele and R. Sims, New Trends in Mathematical Physics . Springer, 2009
2009
Closest in time.
B. Nachtergaele, H. Raz, B. Schlein, and R. Sims, Commun. Math. Phys. 286
Original
2009
Closest in time.