The transverse magnetoresistance of the two-dimensional chiral metal

Details The transverse magnetoresistance of the two-dimensional chiral metal The transverse magnetoresistance of the two-dimensional chiral metal

1998-09-22

arxiv.org/abs/cond-mat/9809286v1

Phys. Rev. B 59, 4999 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

submitted to Phys Rev B

Scientific paper

10.1103/PhysRevB.59.4999

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, $B_0=\Phi_0/al_{\text{el}}$, given by the transverse field strength at which one quantum of flux, $\Phi_0$, 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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