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2022-12-19T04:15:33Z
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Calculation of the Hall Conductivity by Adiabatic Approximation
Nakano, Fumihiko
138896
415
application/pdf
We consider the two dimensional electron system under a constant magnetic field perpendicular to the plane, and present a simple definition of the Hall conductivity which is the non-diagonal component of the conductivity tensor. To calculate the Hall conductivity, we adopt the adiabatic approximation and derive that it is equal to the Chern character modulo the order of any inverse power of the adiabatic parameter. Finite temperature correction is also considered and estimated to be exponentially small.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
1997
application/pdf
Journal of mathematical sciences, the University of Tokyo
2
4
351
371
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40299/files/jms040204.pdf
eng