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arXiv · cond-mat/9809286

The transverse magnetoresistance of the two-dimensional chiral metal

J. T. Chalker·S. L. Sondhi
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Abstract

We consider the two-dimensional chiral metal, which exists at the surface of a layered, three-dimensional sample exhibiting the integer quantum Hall effect. We calculate its magnetoresistance in response to a component of magnetic field perpendicular to the sample surface, in the low temperature, but macroscopic, regime where inelastic scattering may be neglected. The magnetoresistance is positive, following a Drude form with a field scale, $B_0=Φ_0/al_{\text{el}}$, given by the transverse field strength at which one quantum of flux, $Φ_0$, passes through a rectangle with sides set by the layer-spacing, $a$, and the elastic mean free path, $l_{\text{el}}$. Experimental measurement of this magnetoresistance may therefore provide a direct determination of the elastic mean free path in the chiral metal.

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J. T. Chalker, S. L. Sondhi. 1998-09-22. The transverse magnetoresistance of the two-dimensional chiral metal. https://doi.org/10.1103/physrevb.59.4999

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