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math-ph2005
Friedel Sum Rule as a Trace Formula
Mahito Kohmoto, Tohru Koma
We examine the Friedel sum rule which states that the "excess charge" due to a single impurity potential in a metal is equal to a sum of phase shifts for scatterings of electrons b…
math-ph2002
Revisiting the Charge Transport in Quantum Hall Systems
Tohru Koma
We reexamine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. The resulting linear…