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- W2072296880 abstract "We consider the Landauer formula, relating conductances to transmission matrices, for a two-dimensional system in a magnetic field. We argue that the magnetoresistance, R, and the Hall resistance, ${mathrm{R}}_{mathrm{H}}$, satisfy the sum rule (R+${mathit{R}}_{mathrm{H}}$${)}^{mathrm{ensuremath{-}}1}$=(${mathit{e}}^{2}$/h)Tr(${mathit{t}}^{mathrm{ifmmode^circelsetextdegreefi{}}}$t) where t is the transmission matrix. For zero field our expressions reduce to the usual multichannel Landauer formulas. In the absence of dissipation, R approaches zero, t approaches a unit matrix, and quantized values are obtained for the Hall resistance." @default.
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- W2072296880 date "1987-10-26" @default.
- W2072296880 modified "2023-09-26" @default.
- W2072296880 title "Edge states, transmission matrices, and the Hall resistance" @default.
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- W2072296880 doi "https://doi.org/10.1103/physrevlett.59.1973" @default.
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