616 research outputs found
Magnetopolaronic effects in electron transport through a single-level vibrating quantum dot
Magneto-polaronic effects are considered in electron transport through a
single-level vibrating quantum dot subjected to a transverse (to the current
flow) magnetic field. It is shown that the effects are most pronounced in the
regime of sequential electron tunneling, where a polaronic blockade of the
current at low temperatures and an anomalous temperature dependence of the
magnetoconductance are predicted. In contrast, for resonant tunneling of
polarons the peak conductance is not affected by the magnetic field.Comment: 7 pages, 2 figure
The sonic analogue of black hole radiation
A microscopic description of Hawking radiation in sonic black holes has been
recently presented (Giovanazzi S 2005 Phys. Rev. Lett. 94 061302). This exactly
solvable model is formulated in terms of one-dimensional scattering of a Fermi
gas. In this paper, the model is extended to account possible finite size
effects of a realistic geometry. The flow of particles is maintained by a
piston (i.e. an impenetrable barrier) moving slowly towards the sonic horizon.
Using existing technologies the Hawking temperature can be of order of a few
microkelvin in a realistic experiment.Comment: 14 pages, 7 figures, submitted to Journal of Physics B: Atomic,
Molecular & Optical Physic
Ac Josephson Effect in Topological Josephson Junctions
Topological superconductors admit zero-energy Majorana bound states at their
boundaries. In this review article, we discuss how to probe these Majorana
bound states in Josephson junctions between two topological superconductors. In
the absence of an applied bias, the presence of these states gives rise to an
Andreev bound state whose energy varies -periodically in the
superconducting phase difference. An applied voltage bias leads to a
dynamically varying phase according to the Josephson relation. Furthermore, it
leads to dynamics of the occupation of the bound state via its non-adiabatic
coupling to the continuum. While the Josephson relation suggests a fractional
Josephson effect due to the -periodicity of the bound state, its
observability relies on the conservation of the occupation of the bound state
on the experimentally probed time scale. We study the lifetime of the bound
state and identify the time scales it has to be compared to. In particular, we
are interested in signatures of the fractional Josephson effect in the Shapiro
steps and in current noise measurements. We also discuss manifestations of the
zero-energy Majorana states on the dissipative subgap current.Comment: 19 pages, 12 figure
Full counting statistics of strongly non-Ohmic transport through single molecules
We study analytically the full counting statistics of charge transport
through single molecules, strongly coupled to a weakly damped vibrational mode.
The specifics of transport in this regime - a hierarchical sequence of
avalanches of transferred charges, interrupted by "quiet" periods - make the
counting statistics strongly non-Gaussian. We support our findings for the
counting statistics as well as for the frequency-dependent noise power by
numerical simulations, finding excellent agreement.Comment: 4+ pages, 2 figures; minor changes, version published in Phys. Rev.
Let
Critical conductance of a one-dimensional doped Mott insulator
We consider the two-terminal conductance of a one-dimensional Mott insulator
undergoing the commensurate-incommensurate quantum phase transition to a
conducting state. We treat the leads as Luttinger liquids. At a specific value
of compressibility of the leads, corresponding to the Luther-Emery point, the
conductance can be described in terms of the free propagation of
non-interacting fermions with charge e/\sqrt{2}. At that point, the temperature
dependence of the conductance across the quantum phase transition is described
by a Fermi function. The deviation from the Luther-Emery point in the leads
changes the temperature dependence qualitatively. In the metallic state, the
low-temperature conductance is determined by the properties of the leads, and
is described by the conventional Luttinger liquid theory. In the insulating
state, conductance occurs via activation of e/\sqrt{2} charges, and is
independent of the Luttinger liquid compressibility.Comment: 13 pages, 3 figures. Published versio
Weak Localization and Antilocalization in Topological Insulator Thin Films with Coherent Bulk-Surface Coupling
We evaluate quantum corrections to conductivity in an electrically gated thin
film of a three-dimensional (3D) topological insulator (TI). We derive
approximate analytical expressions for the low-field magnetoresistance as a
function of bulk doping and bulk-surface tunneling rate. Our results reveal
parameter regimes for both weak localization and weak antilocalization, and
include diffusive Weyl semimetals as a special case.Comment: After publication, we have noticed and corrected two small but
potentially misleading typographic errors in Eqs. (2.27) and (2.29), where
the definitions of \tau_s and \tau_v were mistakenly switched. Once these
typographic errors are fixed, all the results remain unchanged. An Erratum
will be published in PR
Effect of disorder on a graphene p-n junction
We propose the theory of transport in a gate-tunable graphene p-n junction,
in which the gradient of the carrier density is controlled by the gate voltage.
Depending on this gradient and on the density of charged impurities, the
junction resistance is dominated by either diffusive or ballistic contribution.
We find the conditions for observing ballistic transport and show that in
existing devices they are satisfied only marginally. We also simulate
numerically the trajectories of charge carriers and illustrate challenges in
realizing more delicate ballistic effects, such as Veselago lensing.Comment: (v2)Version accepted to Phys. Rev.
On the magnetization of two-dimensional superconductors
We calculate the magnetization of a two-dimensional superconductor in a
perpendicular magnetic field near its Kosterlitz-Thouless transition and at
lower temperatures. We find that the critical behavior is more complex than
assumed in the literature and that, in particular, the critical magnetization
is {\it not} field independent as naive scaling predicts. In the low
temperature phase we find a substantial fluctuation renormalization of the
mean-field result. We compare our analysis with the data on the cuprates.Comment: 8 pages, 3 figure
Numerical renormalization group calculation of near-gap peaks in spectral functions of the Anderson model with superconducting leads
We use the numerical renormalization group method (NRG) to investigate a
single-impurity Anderson model with a coupling of the impurity to a
superconducting host. Analysis of the energy flow shows, in contrast to
previous belief, that NRG iterations can be performed up to a large number of
sites, corresponding to energy differences far below the superconducting gap.
This allows us to calculate the impurity spectral function very accurately for
frequencies near the gap edge, and to resolve, in a certain parameter regime,
sharp peaks in the spectral function close to the gap edge.Comment: 18 pages, 7 figures, accepted for publication in Journal of Physics:
Condensed Matte
Theory of preparation and relaxation of a p-orbital atomic Mott insulator
We develop a theoretical framework to understand the preparation and
relaxation of a metastable Mott insulator state within the first excited band
of a 1D optical lattice. The state is loaded by "lifting" atoms from the ground
to the first excited band by means of a stimulated Raman transition. We
determine the effect of pulse duration on the accuracy of the state preparation
for the case of a Gaussian pulse shape. Relaxation of the prepared state occurs
in two major stages: double-occupied sites occurring due to quantum
fluctuations initially lead to interband transitions followed by a spreading of
particles in the trap and thermalization. We find the characteristic relaxation
times at the earliest stage and at asymptotically long times approaching
equilibrium. Our theory is applicable to recent experiments performed with 1D
optical lattices [T. M\"uller, S. F\"olling, A. Widera, and I. Bloch, Phys.
Rev. Lett. \textbf{99}, 200405 (2007)].Comment: 27 pages, 23 figures: Edited figures, added reference
- …