9,530 research outputs found
Coherent transport in disordered metals out of equilibrium
We derive a formula for the quantum corrections to the electrical current for
a metal out of equilibrium. In the limit of linear current-voltage
characteristics our formula reproduces the well known Altshuler-Aronov
correction to the conductivity of a disordered metal. The current formula is
obtained by a direct diagrammatic approach, and is shown to agree with what is
obtained within the Keldysh formulation of the non-linear sigma model. As an
application we calculate the current of a mesoscopic wire. We find a
current-voltage characteristics that scales with , and calculate the
different scaling curves for a wire in the hot-electron regime and in the
regime of full non-equilibrium.Comment: 16 pages, 13 figure
Persistent current induced by magnetic impurities
We calculate the average persistent current in a normal conducting,
mesoscopic ring in the diffusive regime. In the presence of magnetic
impurities, a contribution to the persistent current is identified, which is
related to fluctuations in the electron spin density. Assuming a spin-flip
scattering rate which is comparable to the Thouless energy E_c and low
temperature, this new contribution to the persistent current is of the order
, which is considerably larger than the persistent
current induced by the electron-electron interaction.Comment: 19 pages, 7 figures, accepted by Z. Phys.
Coherent transport in disordered metals: zero dimensional limit
We consider non-equilibrium transport in disordered conductors. We calculate
the interaction correction to the current for a short wire connected to
electron reservoirs by resistive interfaces. In the absence of charging effects
we find a universal current-voltage-characteristics. The relevance of our
calculation for existing experiments is discussed as well as the connection
with alternative theoretical approaches
Quasiclassical theory of charge transport in disordered interacting electron systems
We consider the corrections to the Boltzmann theory of electrical transport
arising from the Coulomb interaction in disordered conductors. In this article
the theory is formulated in terms of quasiclassical Green's functions. We
demonstrate that the formalism is equivalent to the conventional diagrammatic
technique by deriving the well-known Altshuler-Aronov corrections to the
conductivity. Compared to the conventional approach, the quasiclassical theory
has the advantage of being closer to the Boltzmann theory, and also allows
description of interaction effects in the transport across interfaces, as well
as non-equilibrium phenomena in the same theoretical framework. As an example,
by applying the Zaitsev boundary conditions which were originally developed for
superconductors, we obtain the -theory of the Coulomb blockade in tunnel
junctions. Furthermore we summarize recent results obtained for the
non-equilibrium transport in thin films, wires and fully coherent conductors.Comment: 46 pages; review articl
Persistent Currents versus Phase Breaking in Mesoscopic Metallic Samples
Persistent currents in mesoscopic normal metal rings represent, even a decade
after their first experimental observation, a challenge to both, theorists and
experimentalists. After giving a brief review of the existing -- experimental
and theoretical -- results, we concentrate on the (proposed) relationship of
the size of the persistent current to the phase breaking rate. In particular,
we consider effects induced by noise, scattering at two-level systems, and
magnetic impurities.Comment: accepted by JLT
Quantum Coherence in an Exactly Solvable One-dimensional Model with Defects
Using the Quantum Inverse Scattering Method we construct an integrable
Heisenberg-XXZ-model, or equivalently a model for spinless fermions with
nearest-neighbour interaction, with defects. Each defect involves three sites
with a fine tuning between nearest-neighbour and next-nearest-neighbour terms.
We investigate the finite size corrections to the ground state energy and its
dependence on an external flux as a function of a parameter ,
characterizing the strength of the defects. For intermediate values of ,
both quantities become very small, although the ground state wavefunction
remains extended.Comment: accepted by Europhys. Lett., latex, 7 pages. A postscript version
including the figures is available at:
http://www.physik.uni-augsburg.de/theo2/Publications
On localization effects in underdoped cuprates
We comment on transport experiments in underdoped LaSrCuO in the
non-superconducting phase. The temperature dependence of the resistance
strongly resembles what is expected from standard localization theory. However
this theory fails, when comparing with experiments in more detail.Comment: 8 pages, to be published in J. of Superconductivit
Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems
We consider the hp-version of the discontinuous Galerkin finite element method for second-order partial differential equations with nonnegative characteristic form. This class of equations includes second--order elliptic and parabolic equations, first-order hyperbolic equations, as well as problems of mixed hyperbolic-elliptic-parabolic type. Our main concern is the error analysis of the method in the absence of streamline-diffusion stabilization. In the hyperbolic case, an hp-optimal error bound is derived. In the self-adjoint elliptic case, an error bound that is h-optimal and p-suboptimal by half a power of p is obtained. These estimates are then combined to deduce an error bound in the general case. For element-wise analytic solutions the method exhibits exponential rates of convergence under p-refinement. The theoretical results are illustrated by numerical experiments
Onsager relations in a two-dimensional electron gas with spin-orbit coupling
Theory predicts for the two-dimensional electrons gas with only Rashba
spin-orbit interaction a vanishing spin Hall conductivity and at the same time
a finite inverse spin Hall effect. We show how these seemingly contradictory
results are compatible with the Onsager relations: the latter do hold for spin
and particle (charge) currents in the two-dimensional electron gas, although
(i) their form depends on the experimental setup and (ii) a vanishing bulk spin
Hall conductivity does not necessarily imply a vanishing spin Hall effect. We
also discuss the situation in which extrinsic spin orbit from impurities is
present and the bulk spin Hall conductivity can be different from zero.Comment: Accepted versio
Density functional theory for a model quantum dot: Beyond the local-density approximation
We study both static and transport properties of model quantum dots,
employing density functional theory as well as (numerically) exact methods. For
the lattice model under consideration the accuracy of the local-density
approximation generally is poor. For weak interaction, however, accurate
results are achieved within the optimized effective potential method, while for
intermediate interaction strengths a method combining the exact diagonalization
of small clusters with density functional theory is very successful. Results
obtained from the latter approach yield very good agreement with density matrix
renormalization group studies, where the full Hamiltonian consisting of the dot
and the attached leads has to be diagonalized. Furthermore we address the
question whether static density functional theory is able to predict the exact
linear conductance through the dot correctly - with, in general, negative
answer.Comment: 8 page
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