"Stroboscopic" wavepackets make sense of the quantum transport of electrons
The flow of electricity through nanoscale wires and structures is dominated by
the quantum nature of matter, in which the charge-carrying electrons must be
described by probability waves. The need for a quantum approach makes the
accurate simulation or even qualitative theory of such problems very
challenging. In our Letter we present a formally exact approach based on
special quantum-mechanical "wavepackets" which are snapshots of the wave of a
single electron taken at regular time intervals -- as if by a stroboscope --
within a controlled energy range. When many electrons are present, each
electron passes from one wavepacket to the next as the stroboscope flashes.
Crucially, this guarantees the exact fulfilment of Pauli's famous exclusion
principle which prevents two electrons from being in the same place at the
same instant. Viewed now in terms of these wavepackets, many complex
problems in quantum transport gain a simple "common-sense" interpretation.
We illustrate this by deriving new results for how the current builds up, as
a function of time, when a voltage is applied to a nanostructure, and also
for the accumulation of electrons of a preferred spin at the edge of a
current-carrying layer.
***
LM11702

Liquid crystals on droplets: designing superatoms
Chemists and materials scientists have only 80 stable atoms available
with which to make molecules and materials. The molecules are formed
by directional quantum mechanical bonds which share electrons between
neighboring atoms. Each atom has a very limited number of possible
bonds it can form, determined by its atomic number.
In recent years attention has turned to creating a new kind of
building block (a superatom) which may be 100-100,000 times larger
than conventional atoms. The bonding between superatoms is driven by
the rich statistical mechanical physics of nanometer to micron scale
structures that undergo complex thermal fluctuations. Since they are
not restricted by quantum mechanics the number of potential superatoms
is enormous and the corresponding supramolecular chemistry and
materials science is only just beginning to be explored. One way to
create superatoms is to self-assemble liquid crystals, like those
found in your digital watch, on spherical water droplets in oil in the
same way mustard seeds can stabilize oil droplets in egg yolk (mostly
water) in the classic sauce mayonnaise. Liquid crystal molecules on
spherical droplets have unavoidable irregularities (defects) in their
patterns at which additional molecules can be attached to link droplets
into molecules and bulk materials. In our paper we show one can control
the location of the defects by varying the material properties of the
liquid crystal, thus allowing for the controlled design of a variety
of superatoms.
***
BR10744
Evidence of local superconductivity in granular Bi nanowires fabricated
by electrodeposition
Bulk Bi is a semimetal down to at least 50 mK without showing any
evidence of superconductivity. However the electrical property of Bi
films and nanowires is very sensitive to the exact conditions on how the
samples were fabricated. Recently, we systematically investigated the
electrical properties of granular Bi nanowires consisting of
rhombohedral Bi grains of a few nanometer in size, fabricated by
electrochemically depositing Bi into porous polycarbonate membranes. It
was found that the granular Bi nanowires exhibit superconducting,
insulating or even super-resistive behavior sensitively depending on the
details of its morphology or specific configurations of the nanowires.
The superconductivity comes from the interfacial structures between the
grains of the nanowires due to structure distortion or lattice strain,
but the grain itself with a rhombohedral structure may still remain its
semimetal or semiconducting character. The superresistivity is the
consequence of the nucleation of local superconductivity at the grain
boundary area without long-range phase coherence, a reminiscent of the
¿Cooper-pair insulator¿ observed previously in ultra thin
two-dimensional (2D) superconducting films.
***
LP11053
Critical dynamics of vesicle stretching transition in elongation flow
Biological membranes often develop nanotubes and form dynamical tubular networks, which connect over
long distances various cell types, including neuronal and immune cells, to provide signal communication
as well as virological transport. In this paper we report an effective way to produce nanosize lipid tethers from
tubular vesicles by elongation flow at its stagnation point. A surprising observation is that during the
stretching a sequence of transitions to various conformational states occurs (Fig.1). First transition from
tubular-to-dumbbell shape takes place at the critical strain rate. The striking features of the stretching
transition are critical slowing down in vesicle relaxation towards a steady state and increased fluctuations
of vesicle stretching, the features similar to well known in the continuous thermodynamic phase transition.
Thus, we suggest that the critical effects are a universal dynamical phenomenon, which occurs in any
microscopic and mesoscopic objects where thermal noise leads to large variety of available configurations
close to the conformation transition, where the entropic force (elasticity) is balanced by the hydrodynamic
drag (stretching force). At higher strain rates, ext order modes become unstable that manifests in a much
faster rate of a tube extension and leads to the well-known pearling state. The larger the strain rate,
the higher order mode becomes unstable, the more pearls initially appear, and the faster the rate of a tube
extension towards the even longer and thinner tube.
***
LP10964AR
Building quantum processors in a noisy environment
Quantum information processing involves manipulation of entities (atoms,
ions, photons etc.) which obey laws of quantum mechanics. Building
stable, scalable "quantum components" like registers and processors is
one of the biggest challenges in physics. The major obstacle to quantum
processing is due to the deleterious effect of the surrounding
environment that destroys correlations arising out of their
¿quantumness¿. This is called decoherence and has been known for a long
time. The schemes proposed to counter decoherence fall into two broad
categories: error correction and error avoidance. In this paper, we
investigate the latter under some realistic assumption. The
error-avoidance schemes rely on the fact that in some cases it is
possible to encode information in quantum states that do not degrade
(decohere). We show that for most realistic models this can only be
approximated. The validity of the approximations depends on the relative
strengths of the interactions. We give various conditions and
estimations on these approximation schemes. The implication is that for
succesful quantum processing components we need more detailed modelling
of the quantum system and its interactions with the environment.
It might be much harder to build a working quantum processor than we expect.













