3,811 research outputs found
Distribution of parametric conductance derivatives of a quantum dot
The conductance G of a quantum dot with single-mode ballistic point contacts
depends sensitively on external parameters X, such as gate voltage and magnetic
field. We calculate the joint distribution of G and dG/dX by relating it to the
distribution of the Wigner-Smith time-delay matrix of a chaotic system. The
distribution of dG/dX has a singularity at zero and algebraic tails. While G
and dG/dX are correlated, the ratio of dG/dX and is independent
of G. Coulomb interactions change the distribution of dG/dX, by inducing a
transition from the grand-canonical to the canonical ensemble. All these
predictions can be tested in semiconductor microstructures or microwave
cavities.Comment: 4 pages, RevTeX, 3 figure
Demonstration of one-parameter scaling at the Dirac point in graphene
We numerically calculate the conductivity of an undoped graphene
sheet (size ) in the limit of vanishingly small lattice constant. We
demonstrate one-parameter scaling for random impurity scattering and determine
the scaling function . Contrary to a recent
prediction, the scaling flow has no fixed point () for conductivities
up to and beyond the symplectic metal-insulator transition. Instead, the data
supports an alternative scaling flow for which the conductivity at the Dirac
point increases logarithmically with sample size in the absence of intervalley
scattering -- without reaching a scale-invariant limit.Comment: 4 pages, 5 figures; v2: introduction expanded, data for Gaussian
model extended to larger system sizes to further demonstrate single parameter
scalin
Density of states "width parity" effect in d-wave superconducting quantum wires
We calculate the density of states (DOS) in a clean mesoscopic d-wave
superconducting quantum wire, i.e. a sample of infinite length but finite width
. For open boundary conditions, the DOS at zero energy is found to be zero
if is even, and nonzero if is odd. At finite chemical potential, all
chains are gapped but the qualtitative differences between even and odd
remain.Comment: 7 pages, 8 figures, new figures and extended discussio
Distributions of the Conductance and its Parametric Derivatives in Quantum Dots
Full distributions of conductance through quantum dots with single-mode leads
are reported for both broken and unbroken time-reversal symmetry. Distributions
are nongaussian and agree well with random matrix theory calculations that
account for a finite dephasing time, , once broadening due to finite
temperature is also included. Full distributions of the derivatives of
conductance with respect to gate voltage are also investigated.Comment: 4 pages (REVTeX), 4 eps figure
Superconductor-proximity effect in chaotic and integrable billiards
We explore the effects of the proximity to a superconductor on the level
density of a billiard for the two extreme cases that the classical motion in
the billiard is chaotic or integrable. In zero magnetic field and for a uniform
phase in the superconductor, a chaotic billiard has an excitation gap equal to
the Thouless energy. In contrast, an integrable (rectangular or circular)
billiard has a reduced density of states near the Fermi level, but no gap. We
present numerical calculations for both cases in support of our analytical
results. For the chaotic case, we calculate how the gap closes as a function of
magnetic field or phase difference.Comment: 4 pages, RevTeX, 2 Encapsulated Postscript figures. To be published
by Physica Scripta in the proceedings of the "17th Nordic Semiconductor
Meeting", held in Trondheim, June 199
Photonic excess noise and wave localization
This is a theory for the effect of localization on the super-Poissonian noise
of radiation propagating through an absorbing disordered waveguide.
Localization suppresses both the mean photon current I and the noise power P,
but the Fano factor P/I is found to remain unaffected. For strong absorption
the Fano factor has the universal value 1+3f/2 (with f the Bose-Einstein
function), regardless of whether the waveguide is long or short compared to the
localization length.Comment: 3 pages including 3 figure
High-frequency dynamics of wave localisation
We study the effect of localisation on the propagation of a pulse through a
multi-mode disordered waveguide. The correlator of the
transmitted wave amplitude u at two frequencies differing by delta_omega has
for large delta_omega the stretched exponential tail ~exp(-sqrt{tau_D
delta_omega/2}). The time constant tau_D=L^2/D is given by the diffusion
coefficient D, even if the length L of the waveguide is much greater than the
localisation length xi. Localisation has the effect of multiplying the
correlator by a frequency-independent factor exp(-L/2xi), which disappears upon
breaking time-reversal symmetry.Comment: 3 pages, 1 figur
Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
We compare two widely used models for dephasing in a chaotic quantum dot: The
introduction of a fictitious voltage probe into the scattering matrix and the
addition of an imaginary potential to the Hamiltonian. We identify the limit in
which the two models are equivalent and compute the distribution of the
conductance in that limit. Our analysis explains why previous treatments of
dephasing gave different results. The distribution remains non-Gaussian for
strong dephasing if the coupling of the quantum dot to the electron reservoirs
is via ballistic single-mode point contacts, but becomes Gaussian if the
coupling is via tunneling contacts.Comment: 9 pages, RevTeX, 6 figures. Mistake in Eq. (35) correcte
Interaction Induced Restoration of Phase Coherence
We study the conductance of a quantum T-junction coupled to two electron
reservoirs and a quantum dot. In the absence of electron-electron interactions,
the conductance is sensitive to interference between trajectories which
enter the dot and those which bypass it. We show that including an intra-dot
charging interaction has a marked influence-- it can enforce a coherent
response from the dot at temperatures much larger than the single particle
level spacing . The result is large oscillations of as a function
of the voltage applied to a gate capacitively coupled to the dot. Without
interactions, the conductance has only a weak interference signature when
.Comment: 4 pages, 2 figures. Typos corrected, minor changes for clarity.
Accepted for publication in Phys. Rev. Let
Insensitivity to Time-Reversal Symmetry Breaking of Universal Conductance Fluctuations with Andreev Reflection
Numerical simulations of conduction through a disordered microbridge between
a normal metal and a superconductor have revealed an anomalous insensitivity of
the conductance fluctuations to a magnetic field. A theory for the anomaly is
presented: Both an exact analytical calculation (using random-matrix theory)
and a qualitative symmetry argument (involving the exchange of time-reversal
for reflection symmetry).Comment: 8 pages, REVTeX-3.0, 2 figure
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