Abstract
We employ multichannel quantum scattering theory to determine the magneto-conductance tensor of finite size two dimensional samples. We show that σxy(B) vanishes identically as a result of unitarity (but this does not imply that the Hall voltage vanishes), σxx(B) decreases monotonically with magnetic field without any oscillation with period of the quantum flux, and for weak impurity scattering <σxx(B)> is smaller (larger) than the impurity free sample conductance for small (large) B values. The effects of the many body electron-electron interactions on the magnetoconductance are incorporated into the present formalism.
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© 1988 Plenum Press, New York
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Avishai, Y., Band, Y.B. (1988). Magnetoconductance of Two Dimensional Disordered Systems. In: Kallio, A.J., Pajanne, E., Bishop, R.F. (eds) Recent Progress in Many-Body Theories. Recent Progress in Many-Body Theories, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0973-4_16
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DOI: https://doi.org/10.1007/978-1-4613-0973-4_16
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