2,130 research outputs found
Stability of dynamic coherent states in intrinsic Josephson-junction stacks near internal cavity resonance
Stacks of intrinsic Josephson junctions in the resistive state can by
efficiently synchronized by the internal cavity mode resonantly excited by the
Josephson oscillations. We study the stability of dynamic coherent states near
the resonance with respect to small perturbations. Three states are considered:
the homogeneous and alternating-kink states in zero magnetic field and the
homogeneous state in the magnetic field near the value corresponding to half
flux quantum per junction. We found two possible instabilities related to the
short-scale and long-scale perturbations. The homogeneous state in modulated
junction is typically unstable with respect to the short-scale alternating
phase deformations unless the Josephson current is completely suppressed in one
half of the stack. The kink state is stable with respect to such deformations
and homogeneous state in the magnetic field is only stable within a certain
range of frequencies and fields. Stability with respect to the long-range
deformations is controlled by resonance excitations of fast modes at finite
wave vectors and typically leads to unstable range of the wave-vectors. This
range shrinks with approaching the resonance and increasing the in-plane
dissipation. As a consequence, in finite-height stacks the stability frequency
range near the resonance increases with decreasing the height.Comment: 15 pages, 8 figures, to appear in Phys. Rev.
Coherent current states in mesoscopic four-terminal Josephson junction
A theory is offered for the ballistic 4-terminal Josephson junction. The
studied system consists of a mesoscopic two-dimensional normal rectangular
layer which is attached in each side to the bulk superconducting banks
(terminals). The relation between the currents through the different terminals,
which is valid for arbitrary temperatures and junction sizes, is obtained. The
nonlocal coupling of the supercurrents leads to a new effect, specific for the
mesoscopic weak link between two superconducting rings; an applied magnetic
flux through one of the rings produces a magnetic flux in the other ring even
in the absence of an external flux through the other one. The phase dependent
distributions of the local density of Andreev states, of the supercurrents and
of the induced order parameter are obtained. The "interference pattern" for the
anomalous average inside the two dimensional region can be regulated by the
applied magnetic fluxes or the transport currents. For some values of the phase
differences between the terminals, the current vortex state and the two
dimensional phase slip center are appeared.Comment: 17 pages in Latex and 6 ps Figures. Will be published in Low
Temp.Phy
Topological confinement in bilayer graphene
We study a new type of one-dimensional chiral states that can be created in
bilayer graphene (BLG) by electrostatic lateral confinement. These states
appear on the domain walls separating insulating regions experiencing the
opposite gating polarity. While the states are similar to conventional
solitonic zero-modes, their properties are defined by the unusual chiral BLG
quasiparticles, from which they derive. The number of zero-mode branches is
fixed by the topological vacuum charge of the insulating BLG state. We discuss
how these chiral states can manifest experimentally, and emphasize their
relevance for valleytronics.Comment: 4 pages, 3 figure
Voltage dependent conductance and shot noise in quantum microconstriction with single defects
The influence of the interference of electron waves, which are scattered by
single impurities and by a barrier on nonlinear conductance and shot noise of
metallic microconstriction is studied theoretically. It is shown that the these
characteristics are nonmonotonic functions on the applied bias.Comment: 18 pages,5 figure
Phase Modulated Thermal Conductance of Josephson Weak Links
We present a theory for quasiparticle heat transport through superconducting
weak links. The thermal conductance depends on the phase difference () of
the superconducting leads. Branch conversion processes, low-energy Andreev
bound states near the contact and the suppression of the local density of
states near the gap edge are related to phase-sensitive transport processes.
Theoretical results for the influence of junction transparency, temperature and
disorder, on the phase modulation of the conductance are reported. For
high-transmission weak links, , the formation of an Andreev bound state
at leads to suppression of the
density of states for the continuum excitations that transport heat, and thus,
to a reduction in the conductance for . For low-transmission
() barriers resonant scattering at energies
leads to an increase in the thermal conductance
as drops below (for phase differences near ).Comment: 4 pages, 3 figures Expanded discussion of boundary conditions for
Ricatti amplitude
The theory of the reentrant effect in susceptibility of cylindrical mesoscopic samples
A theory has been developed to explain the anomalous behavior of the magnetic
susceptibility of a normal metal-superconductor () structure in weak
magnetic fields at millikelvin temperatures. The effect was discovered
experimentally by A.C. Mota et al \cite{10}. In cylindrical superconducting
samples covered with a thin normal pure metal layer, the susceptibility
exhibited a reentrant effect: it started to increase unexpectedly when the
temperature lowered below 100 mK. The effect was observed in mesoscopic
structures when the and metals were in good electric contact. The
theory proposed is essentially based on the properties of the Andreev levels in
the normal metal. When the magnetic field (or temperature) changes, each of the
Andreev levels coincides from time to time with the chemical potential of the
metal. As a result, the state of the structure experiences strong
degeneracy, and the quasiparticle density of states exhibits resonance spikes.
This generates a large paramagnetic contribution to the susceptibility, which
adds up to the diamagnetic contribution thus leading to the reentrant effect.
The explanation proposed was obtained within the model of free electrons. The
theory provides a good description for experimental results [10]
Effect of quantum interference in the nonlinear conductance of microconstrictions
The influence of the interference of electron waves, which were scattered by
single impurities, on nonlinear quantum conductance of metallic
microconstrictions (as was recently investigated experimentally) is studied
theoretically. The dependence of the interference pattern in the conductance
on the contact diameter and the spatial distribution of impurities is
analyzed. It is shown that the amplitude of conductance oscillation is strongly
depended on the position of impurities inside the constriction.Comment: 6 pages, 4 figures, To appear in PR
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