On the quantum adiabatic theorem with applications to condensed matter physics:
Joseph E. Avron, R. Seiler & L. G. Yaffe, Adiabatic theorems and applications to the quantum Hall effect, Communications in Mathematical Physics 110 (1987) 33–49 [doi:10.1007/BF01209015]
Joseph E. Avron, A. Raveh, B. Zur, Adiabatic quantum transport in multiply connected systems, Rev. Mod. Phys. 60 (1988) 873-915 [doi:10.1103/RevModPhys.60.873]
On the integer quantum Hall effect:
Joseph E. Avron, Daniel Osadchy, Ruedi Seiler: A topological look at the quantum Hall effect, Physics Today 56 8 (2003) 38–42 [doi:10.1063/1.1611351]
Joseph E. Avron, Why is the Hall conductance quantized? (2017) [pdf, pdf]
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