1,679 research outputs found
Time-dependent quantum transport: an exact formulation based on TDDFT
An exact theoretical framework based on Time Dependent Density Functional
Theory (TDDFT) is proposed in order to deal with the time-dependent quantum
transport in fully interacting systems. We use a \textit{partition-free}
approach by Cini in which the whole system is in equilibrium before an external
electric field is switched on. Our theory includes the interactions between the
leads and between the leads and the device. It is well suited for calculating
measurable transient phenomena as well as a.c. and other time-dependent
responses. We show that the steady-state current results from a
\textit{dephasing mechanism} provided the leads are macroscopic and the device
is finite. In the d.c. case, we obtain a Landauer-like formula when the
effective potential of TDDFT is uniform deep inside the electrodes.Comment: final version, 7 pages, 1 figur
Comment on "Scaling of the quasiparticle spectrum for d-wave superconductors"
In a recent Letter Simon and Lee suggested a scaling law for thermodynamic
and kinetic properties of superconductors with lines of gap nodes. However
their crossover parameter between the bulk dominated regime and the vortex
dominated regime is different from that found in our paper (N.B. Kopnin and
G.E. Volovik, JETP Lett., {\bf 64}, 690 (1996); see also cond-mat/9702093). We
discuss the origin of the disagreement.Comment: submitted to Physical Review Letters as "Comment" to the paper by
S.H. Simon and P.A. Lee, Phys. Rev. Lett., 78 (1997) 1548 (cond-mat/9611133
Stability of critical bubble in stretched fluid of square-gradient density-functional model with triple-parabolic free energy
The square-gradient density-functional model with triple-parabolic free
energy, that was used previously to study the homogeneous bubble nucleation [J.
Chem. Phys. 129, 104508 (2008)], is used to study the stability of the critical
bubble nucleated within the bulk under-saturated stretched fluid. The stability
of the bubble is studied by solving the Schr\"odinger equation for the
fluctuation. The negative eigenvalue corresponds to the unstable growing mode
of the fluctuation. Our results show that there is only one negative eigenvalue
whose eigenfunction represents the fluctuation that corresponds to the
isotropically growing or shrinking nucleus. In particular, this negative
eigenvalue survives up to the spinodal point. Therefore the critical bubble is
not fractal or ramified near the spinodal.Comment: 9 pages, 8 figures, Journal of Chemical Physics accepted for
publicatio
Correlated Nanoscopic Josephson Junctions
We discuss correlated lattice models with a time-dependent potential across a
barrier and show how to implement a Josephson-junction-like behavior. The
pairing occurs by a correlation effect enhanced by the symmetry of the system.
In order to produce the effect we need a mild distortion which causes avoided
crossings in the many-body spectrum. The Josephson-like response involves a
quasi-adiabatic evolution in the time-dependent field. Besides, we observe an
inverse-Josephson (Shapiro) current by applying an AC bias; a supercurrent in
the absence of electromotive force can also be excited. The qualitative
arguments are supported by explicit exact solutions in prototype 5-atom
clusters with on-site repulsion. These basic units are then combined in
ring-shaped systems, where one of the units sits at a higher potential and
works as a barrier. In this case the solution is found by mapping the
low-energy Hamiltonian into an effective anisotropic Heisenberg chain. Once
again, we present evidence for a superconducting flux quantization, i.e. a
Josephson-junction-like behavior suggesting the build-up of an effective order
parameter already in few-electron systems. Some general implications for the
quantum theory of transport are also briefly discussed, stressing the
nontrivial occurrence of asymptotic current oscillations for long times in the
presence of bound states.Comment: 12 pages, 2 figures, to appear in J. Phys. - Cond. Ma
Perturbation of Tunneling Processes by Mechanical Degrees of Freedom in Mesoscopic Junctions
We investigate the perturbation in the tunneling current caused by
non-adiabatic mechanical motion in a mesoscopic tunnel junction. A theory
introduced by Caroli et al. \cite{bi1,bi2,bi3} is used to evaluate second order
self-energy corrections for this non-equilibrium situation lacking
translational invariance. Inelastic signatures of the mechanical degrees of
freedom are found in the current-voltage characteristics. These give
rise to sharp features in the derivative spectrum, .Comment: 22 pages LaTeX + 3 uuencoded PS picture
Resonant tunneling and Fano resonance in quantum dots with electron-phonon interaction
We theoretically study the resonant tunneling and Fano resonance in quantum
dots with electron-phonon (e-ph) interaction. We examine the bias-voltage ()
dependence of the decoherence, using Keldysh Green function method and
perturbation with respect to the e-ph interaction. With optical phonons of
energy , only the elastic process takes place when , in
which electrons emit and absorb phonons virtually. The process suppresses the
resonant amplitude. When , the inelastic process is possible which
is accompanied by real emission of phonons. It results in the dephasing and
broadens the resonant width. The bias-voltage dependence of the decoherence
cannot be obtained by the canonical transformation method to consider the e-ph
interaction if its effect on the tunnel coupling is neglected. With acoustic
phonons, the asymmetric shape of the Fano resonance grows like a symmetric one
as the bias voltage increases, in qualitative accordance with experimental
results.Comment: 28 pages, 11 figure
Conserving approximations in time-dependent quantum transport: Initial correlations and memory effects
We study time-dependent quantum transport in a correlated model system by
means of time-propagation of the Kadanoff-Baym equations for the nonequilibrium
many-body Green function. We consider an initially contacted equilibrium system
of a correlated central region coupled to tight-binding leads. Subsequently a
time-dependent bias is switched on after which we follow in detail the
time-evolution of the system. Important features of the Kadanoff-Baym approach
are 1) the possibility of studying the ultrafast dynamics of transients and
other time-dependent regimes and 2) the inclusion of exchange and correlation
effects in a conserving approximation scheme. We find that initial correlation
and memory terms due to many-body interactions have a large effect on the
transient currents. Furthermore the value of the steady state current is found
to be strongly dependent on the approximation used to treat the electronic
interactions.Comment: 5 pages, 2 figure
Toy models of crossed Andreev reflection
We propose toy models of crossed Andreev reflection in multiterminal hybrid
structures containing out-of-equilibrium conductors. We apply the description
to two possible experiments: (i) to a device containing a large quantum dot
inserted in a crossed Andreev reflection circuit. (ii) To a device containing
an Aharonov-Bohm loop inserted in a crossed Andreev reflection circuit.Comment: 5 pages, 9 figures, minor modification
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