Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mesoscopic conductance and its fluctuations at non-zero Hall angle   We consider the bilocal conductivity tensor, the two-probe conductance and
its fluctuations for a disordered phase-coherent two-dimensional system of
non-interacting electrons in the presence of a magnetic field, including
correctly the edge effects. Analytical results are obtained by perturbation
theory in the limit $\sigma_{xx} \gg 1$. For mesoscopic systems the conduction
process is dominated by diffusion but we show that, due to the lack of
time-reversal symmetry, the boundary condition for diffusion is altered at the
reflecting edges. Instead of the usual condition, that the derivative along the
direction normal to the wall of the diffusing variable vanishes, the derivative
at the Hall angle to the normal vanishes. We demonstrate the origin of this
boundary condition from different starting points, using (i) a simplified
Chalker-Coddington network model, (ii) the standard diagrammatic perturbation
expansion, and (iii) the nonlinear sigma-model with the topological term, thus
establishing connections between the different approaches. Further boundary
effects are found in quantum interference phenomena. We evaluate the mean
bilocal conductivity tensor $\sigma_{\mu\nu}(r,r')$, and the mean and variance
of the conductance, to leading order in $1/\sigma_{xx}$ and to order
$(\sigma_{xy}/\sigma_{xx})^2$, and find that the variance of the conductance
increases with the Hall ratio. Thus the conductance fluctuations are no longer
simply described by the unitary universality class of the $\sigma_{xy}=0$ case,
but instead there is a one-parameter family of probability distributions. In
the quasi-one-dimensional limit, the usual universal result for the conductance
fluctuations of the unitary ensemble is recovered, in contrast to results of
previous authors. Also, a long discussion of current conservation.

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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph