65 research outputs found
Hamiltonian approach to the ac Josephson effect in superconducting-normal hybrid systems
The ac Josephson effect in hybrid systems of a normal mesoscopic conductor
coupled to two superconducting (S) leads is investigated theoretically. A
general formula of the ac components of time-dependent current is derived which
is valid for arbitrary interactions in the normal region. We apply this formula
to analyze a S-normal-S system where the normal region is a noninteracting
single level quantum dot. We report the physical behavior of time-averaged
nonequilibrium distribution of electrons in the quantum dot, the formation of
Andreev bound states, and ac components of the time-dependent current. The
distribution is found to exhibit a population inversion; and all Andreev bound
states between the superconducting gap carry the same amount of
current and in the same flow direction. The ac components of time-dependent
current show strong oscillatory behavior in marked contrast to the subharmonic
gap structure of the average current.Comment: 23 pages, 10 figures, LaTe
Conduction channels of superconducting quantum point contacts
Atomic quantum point contacts accommodate a small number of conduction
channels. Their number N and transmission coefficients {T_n} can be determined
by analyzing the subgap structure due to multiple Andreev reflections in the
current-voltage (IV) characteristics in the superconducting state. With the
help of mechanically controllable break-junctions we have produced Al contacts
consisting of a small number of atoms. In the smallest stable contacts, usually
three channels contribute to the transport. We show here that the channel
ensemble {T_n} of few atom contacts remains unchanged up to temperatures and
magnetic fields approaching the critical temperature and the critical field,
respectively, giving experimental evidence for the prediction that the
conduction channels are the same in the normal and in the superconducting
state.Comment: 8 pages, 5 .eps figures. To be published in Physica B 22
Proofs of Randomized Algorithms in Coq
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Proofs of randomized algorithms in Co
Subharmonic gap structure in d-wave superconductors
We present a self-consistent theory of current-voltage characteristics of
d-wave/d-wave contacts at arbitrary transparency. In particular, we address the
open problem of the observation of subharmonic gap structure (SGS) in cuprate
junctions. Our analysis shows that: (i) the SGS is possible in d-wave
superconductors, (ii) the existence of bound states within the gap results in
an even-odd effect in the SGS, (iii) elastic scattering mechanisms, like
impurities or surface roughness, may suppress the SGS, and (iv) in the presence
of a magnetic field the Doppler shift of the Andreev bound states leads to a
very peculiar splitting of the SGS, which is an unambiguous fingerprint of
d-wave superconductivity.Comment: Revtex4, 4 pages, 5 figure
General transport properties of superconducting quantum point contacts: a Green functions approach
We discuss the general transport properties of superconducting quantum point
contacts. We show how these properties can be obtained from a microscopic model
using nonequilibrium Green function techniques. For the case of a one-channel
contact we analyze the response under different biasing conditions: constant
applied voltage, current bias and microwave-induced transport. Current
fluctuations are also analyzed with particular emphasis on thermal and
shot-noise. Finally, the case of superconducting transport through a resonant
level is discussed. The calculated properties show a remarkable agreement with
the available experimental data from atomic-size contacts measurements. We
suggest the possibility of extending this comparison to several other
predictions of the theory.Comment: 10 pages, revtex, 8 figures, submitted to a special issue of
Superlattices and Microstructure
Quasiclassical description of transport through superconducting contacts
We present a theoretical study of transport properties through
superconducting contacts based on a new formulation of boundary conditions that
mimics interfaces for the quasiclassical theory of superconductivity. These
boundary conditions are based on a description of an interface in terms of a
simple Hamiltonian. We show how this Hamiltonian description is incorporated
into quasiclassical theory via a T-matrix equation by integrating out
irrelevant energy scales right at the onset. The resulting boundary conditions
reproduce results obtained by conventional quasiclassical boundary conditions,
or by boundary conditions based on the scattering approach. This formalism is
well suited for the analysis of magnetically active interfaces as well as for
calculating time-dependent properties such as the current-voltage
characteristics or as current fluctuations in junctions with arbitrary
transmission and bias voltage. This approach is illustrated with the
calculation of Josephson currents through a variety of superconducting
junctions ranging from conventional to d-wave superconductors, and to the
analysis of supercurrent through a ferromagnetic nanoparticle. The calculation
of the current-voltage characteristics and of noise is applied to the case of a
contact between two d-wave superconductors. In particular, we discuss the use
of shot noise for the measurement of charge transferred in a multiple Andreev
reflection in d-wave superconductors
Non-Equilibrium Quasiclassical Theory for Josephson Structures
We present a non-equilibrium quasiclassical formalism suitable for studying
linear response ac properties of Josephson junctions. The non-equilibrium
self-consistency equations are satisfied, to very good accuracy, already in
zeroth iteration. We use the formalism to study ac Josephson effect in a
ballistic superconducting point contact. The real and imaginary parts of the ac
linear conductance are calculated both analytically (at low frequencies) and
numerically (at arbitrary frequency). They show strong temperature, frequency,
and phase dependence. Many anomalous properties appear near phi = pi. We
ascribe them to the presence of zero energy bound states.Comment: 11 pages, 9 figures, Final version to appear in PR
Metamorphosis and Taxonomy of Andreev Bound States
We analyze the spatial and energy dependence of the local density of states
in a SNS junction. We model our system as a one-dimensional tight-binding chain
which we solve exactly by numerical diagonalization. We calculate the
dependence of the Andreev bound states on position, phase difference, gate
voltage, and coupling with the superconducting leads. Our results confirm the
physics predicted by certain analytical approximations, but reveal a much
richer set of phenomena beyond the grasp of these approximations, such as the
metamorphosis of the discrete states of the normal link (the normal bound
states) into Andreev bound states as the leads become superconducting.Comment: 23 pages, 15 figure
Anomalous Hall Effect in Graphite
We report on the experimental observation of an anomalous Hall effect (AHE)
in highly oriented pyrolytic graphite samples. The overall data indicate that
the AHE in graphite can be self-consistently understood within the frameworks
of the magnetic-field-driven excitonic pairing models.Comment: 13 pages including 4 figure
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