1,207 research outputs found
Lamplighter model of a random copolymer adsorption on a line
We present a model of an AB-diblock random copolymer sequential
self-packaging with local quenched interactions on a one-dimensional infinite
sticky substrate. It is assumed that the A-A and B-B contacts are favorable,
while A-B are not. The position of a newly added monomer is selected in view of
the local contact energy minimization. The model demonstrates a
self-organization behavior with the nontrivial dependence of the total energy,
(the number of unfavorable contacts), on the number of chain monomers, :
for quenched random equally probable distribution of A- and
B-monomers along the chain. The model is treated by mapping it onto the
"lamplighter" random walk and the diffusion-controlled chemical reaction of
type with the subdiffusive motion of reagents.Comment: 8 pages, 5 figure
Full counting statistics for noninteracting fermions: Exact finite temperature results and generalized long time approximation
Exact numerical results for the full counting statistics (FCS) of a
one-dimensional tight-binding model of noninteracting electrons are presented
at finite temperatures using an identity recently presented by Abanov and
Ivanov. A similar idea is used to derive a new expression for the cumulant
generating function for a system consisting of two quasi-one-dimensional leads
connected by a quantum dot in the long time limit. This provides a
generalization of the Levitov-Lesovik formula for such systems.Comment: 17 pages, 6 figures, extended introduction, additional comment
Full Current Statistics in Diffusive Normal-Superconductor Structures
We study the current statistics in normal diffusive conductors in contact
with a superconductor. Using an extension of the Keldysh Green's function
method we are able to find the full distribution of charge transfers for all
temperatures and voltages. For the non-Gaussian regime, we show that the
equilibrium current fluctuations are enhanced by the presence of the
superconductor. We predict an enhancement of the nonequilibrium current noise
for temperatures below and voltages of the order of the Thouless energy
E_Th=D/L^2. Our calculation fully accounts for the proximity effect in the
normal metal and agrees with experimental data. We demonstrate that the
calculation of the full current statistics is in fact simpler than a concrete
calculation of the noise.Comment: 4 pages, 2 figures (included
Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics
Energy dissipation in a nonequilibrium steady state is studied in driven
quantum Langevin systems. We study energy dissipation flow to thermal
environment, and obtain a general formula for the average rate of energy
dissipation using an autocorrelation function for the system variable. This
leads to a general expression of the equality that connects the violation of
the fluctuation-response relation to the rate of energy dissipation, the
classical version of which was first studied by Harada and Sasa. We also point
out that the expression depends on coupling form between system and reservoir.Comment: 4 pages, 1 figur
Shot Noise in Mesoscopic Transport Through Localised States
We show that shot noise can be used for studies of hopping and resonant
tunnelling between localised electron states. In hopping via several states,
shot noise is seen to be suppressed compared with its classical Poisson value
( is the average current) and the suppression depends on the
distribution of the barriers between the localised states. In resonant
tunnelling through a single impurity an enhancement of shot noise is observed.
It has been established, both theoretically and experimentally, that a
considerable increase of noise occurs due to Coulomb interaction between two
resonant tunnelling channels.Comment: 7 pages, 5 figures; Proceedings of the 10th Conference on Hopping and
Related Phenomena (Trieste 2003); requires Wiley style files (included
Weak Charge Quantization as an Instanton of Interacting sigma-model
Coulomb blockade in a quantum dot attached to a diffusive conductor is
considered in the framework of the non-linear sigma-model. It is shown that the
weak charge quantization on the dot is associated with instanton configurations
of the Q-field in the conductor. The instantons have a finite action and are
replica non--symmetric. It is argued that such instantons may play a role in
the transition regime to the interacting insulator.Comment: 4 pages. The 2D case substantially modifie
Spin-dependent boundary conditions for isotropic superconducting Green's functions
The quasiclassical theory of superconductivity provides the most successful
description of diffusive heterostructures comprising superconducting elements,
namely, the Usadel equations for isotropic Green's functions. Since the
quasiclassical and isotropic approximations break down close to interfaces, the
Usadel equations have to be supplemented with boundary conditions for isotropic
Green's functions (BCIGF), which are not derivable within the quasiclassical
description. For a long time, the BCIGF were available only for spin-degenerate
tunnel contacts, which posed a serious limitation on the applicability of the
Usadel description to modern structures containing ferromagnetic elements. In
this article, we close this gap and derive spin-dependent BCIGF for a contact
encompassing superconducting and ferromagnetic correlations. This finally
justifies several simplified versions of the spin-dependent BCIGF, which have
been used in the literature so far. In the general case, our BCIGF are valid as
soon as the quasiclassical isotropic approximation can be performed. However,
their use require the knowledge of the full scattering matrix of the contact,
an information usually not available for realistic interfaces. In the case of a
weakly polarized tunnel interface, the BCIGF can be expressed in terms of a few
parameters, i.e. the tunnel conductance of the interface and five
conductance-like parameters accounting for the spin-dependence of the interface
scattering amplitudes. In the case of a contact with a ferromagnetic insulator,
it is possible to find explicit BCIGF also for stronger polarizations. The
BCIGF derived in this article are sufficienly general to describe a variety of
physical situations and may serve as a basis for modelling realistic
nanostructures.Comment: This paper presents an improvement of arXiv:cond-mat/0204116. The
present version takes into account corrections from the erratum Phys. Rev. B
83, 139901 (2011
DC-transport in superconducting point contacts: a full counting statistics view
We present a comprehensive theoretical analysis of the dc transport
properties of superconducting point contacts. We determine the full counting
statistics for these junctions, which allows us to calculate not only the
current or the noise, but all the cumulants of the current distribution. We
show how the knowledge of the statistics of charge transfer provides an
unprecedented level of understanding of the different transport properties for
a great variety of situations. We illustrate our results with the analysis of
junctions between BCS superconductors, contacts between superconductors with
pair-breaking mechanisms and short diffusive bridges. We also discuss the
temperature dependence of the different cumulants and show the differences with
normal contacts.Comment: revtex4, 20 pages, 15 figure
Full counting statistics for noninteracting fermions: Joint probability distributions
The joint probability distribution in the full counting statistics (FCS) for
noninteracting electrons is discussed for an arbitrary number of initially
separate subsystems which are connected at t=0 and separated at a later time. A
simple method to obtain the leading order long time contribution to the
logarithm of the characteristic function is presented which simplifies earlier
approaches. New explicit results for the determinant involving the scattering
matrices are found. The joint probability distribution for two leads is
discussed for Y-junctions and dots connected to four leads.Comment: 17 pages, 3 figure
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