Dirichlet Laplacian on curved tubes of a constant cross section in two and three dimensions
is investigated. It is shown that if the tube is non-straight and its curvature vanishes …

This paper surveys the magnetic flux effects in multiply connected conductors, both normal
metals and superconductors. Discussion of these effects for hopping conduction on the …

A conductance formula for a sample of arbitrary shape with four terminals is derived to
describe transport in the limit where carriers can traverse the sample without suffering phase …

Under certain conditions, high magnetic fields in a two-dimensional conductor lead to a
suppression of both elastic and inelastic backscattering. This, together with the formation of …

Publisher Summary Quantum transport is conveniently studied in a two-dimensional
electron gas (2DEG) because of the combination of a large Fermi wavelength and large …

Mesoscopic physics refers to the physics of structures larger than a nanometer (one billionth
of a meter) but smaller than a micrometer (one millionth of a meter). This size range is the …

The resistance of a conductor measured in a four-probe setup is invariant if the exchange of
the voltage and current sources is accompanied by a magnetic field reversal. We present a …

We have performed analytical calculations and computer simulations to study the persistent
current I in small isolated one-dimensional metal rings enclosing a magnetic flux φ. We have …

We review some of the recent surprising theoretical and experimental results obtained on
the transport properties of small disordered metal samples. Even in the presence of disorder …

We re-examine the question of what constitutes the physically relevant quantum-mechanical
expression for the resistance of a disordered conductor in light of recent experimental and …