Quantum Effect in D. C. and Hall Conductivities | Zendy

Kazuo Kitahara | Zendy; Yoshiyuki Ono | Zendy

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Quantum Effect in D. C. and Hall Conductivities

Author(s) -

Kazuo Kitahara,

Yoshiyuki Ono

Publication year - 1973

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.49.89

Subject(s) - physics , formalism (music) , electron , quantum hall effect , quantum mechanics , hall effect , commutation , condensed matter physics , kinetic energy , momentum (technical analysis) , mathematical physics , quantum , quantum electrodynamics , magnetic field , art , musical , finance , voltage , economics , visual arts

The Wigner representation formalism is applied to investigating the effect of the momentum-coordinate commutation relation ~n the d.c. and Hall conductivities of a system of noninteracting electrons moving in a· potential :field of randomly distributed impurities. The conductivities are expanded in powers of A and the secondand fourth-order terms are shown to vanish within the Born approximation, as far as the expansion is reasonable. This situation is discussed in comparison with the result of the kinetic theory.

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