6,515 research outputs found
Is there a renormalization of the 1D conductance in Luttinger Liquid model?
Properties of 1D transport strongly depend on the proper choice of boundary
conditions. It has been frequently stated that the Luttinger Liquid (LL)
conductance is renormalized by the interaction as . To
contest this result I develop a model of 1D LL wire with the interaction
switching off at the infinities. Its solution shows that there is no
renormalization of the universal conductance while the electrons have a free
behavior in the source and drain reservoirs.Comment: 5 pages, RevTex 2.0, attempted repair of tex error
Radiation-induced quantum interference in low-dimensional - junctions
We predict and analyze {\it radiation-induced quantum interference effect} in
low-dimensional - junctions. This phenomenon manifests itself by large
oscillations of the photocurrent as a function of the gate voltage or the
frequency of the radiation. The oscillations result from the quantum
interference between two electron paths accompanied by resonant absorption of
photons. They resemble Ramsey quantum beating and Stueckelberg oscillations
well-known in atomic physics. The effect can be observed in one- and
two-dimensional - junctions based on nanowires, carbon nanotubes,
monolayer or bilayer graphene nanoribbons.Comment: 4 pages, 3 figure
Quasi-Andreev reflection in inhomogeneous Luttinger liquids
Reflection of charge excitations at the step in the interaction strength in a
Luttinger liquid can be of the Andreev type, even if the interactions are
purely repulsive. The region with stronger repulsion plays the role of a normal
metal in a normal-metal /superconductor junction, whereas the region with
weaker repulsion plays the role of a superconductor. It is shown that this
quasi-Andreev reflection leads to a number of proximity-like effects, including
the local enhancement (suppression) of superconducting fluctuations on the
quasi-normal (quasi-superconducting) side of the step, significant modification
of the local density of states, as well as others. The observable consequences
of these proximity effects are analyzed for the case of single- and
two-particle tunneling from a normal-metal or superconducting tip into an
inhomogeneous Luttinger-liquid wire.Comment: 5 pages, 2 figures (eps
Tunnelling Spectroscopy of Localized States near the Quantum Hall Edge
In the paper we dscuss experimental results of M. Grayson et al. on tunneling
- characteristics of the quantum Hall edge. We suggest a two step
tunneling mechanism involving localized electron states near the edge, which
might account for discrepancy between the experimental data and the predictions
of the chiral Luttinger liquid theory of the quantum Hall edge.Comment: 4 pages, revte
Self-duality in quantum impurity problems
We establish the existence of an exact non-perturbative self-duality in a
variety of quantum impurity problems, including the Luttinger liquid or quantum
wire with impurity. The former is realized in the fractional quantum Hall
effect, where the duality interchanges electrons with Laughlin quasiparticles.
We discuss the mathematical structure underlying this property, which bears an
intriguing resemblance with the work of Seiberg and Witten on supersymmetric
non-abelian gauge theory.Comment: 4 page
Josephson -state in superconductor-Luttinger liquid hybrid systems
Josephson current through a Luttinger liquid (LL) under a magnetic field is
theoretically studied. We derive an analytical expression of Josephson current
for clean interfaces, by using quasiclassical Green's function and functional
bosonization procedure. We show that critical currents can be renormalized by
electron-electron interactions at perfect transparency when LL is adiabatically
connected with superconductors. We also find that a generation of -state,
due to spin-dependent energy shift in Andreev bound states (ABS), is prohibited
even at zero temperature when the strength of repulsive interactions reaches
some critical value. The suppression of -state is caused by the low energy
fluctuations propagating in LL, and making the Zeeman splitting in ABS blurred.Comment: 5 pages, 4figure
Unconventional magnetoresistance in long InSb nanowires
Magnetoresistance in long correlated nanowires of degenerate semiconductor
InSb in asbestos matrix (wire diameter of around 5 nm, length 0.1 - 1 mm) is
studied over temperature range 2.3 - 300 K. At zero magnetic field the electric
conduction and the current-voltage characteristics of such wires obey the
power laws , , expected for
one-dimensional electron systems. The effect of magnetic field corresponds to a
20% growth of the exponents , at H=10 T. The observed
magnetoresistance is caused by the magnetic-field-induced breaking of the
spin-charge separation and represents a novel mechanism of magnetoresistance.Comment: To be published in JETP Letters, vol. 77 (2003
Fractional charge in transport through a 1D correlated insulator of finite length
Transport through a one channel wire of length confined between two leads
is examined when the 1D electron system has an energy gap : induced by the interaction in charge mode (: charge velocity in the
wire). In spinless case the transformation of the leads electrons into the
charge density wave solitons of fractional charge entails a non-trivial low
energy crossover from the Fermi liquid behavior below the crossover energy to the insulator one with the
fractional charge in current vs. voltage, conductance vs. temperature, and in
shot noise. Similar behavior is predicted for the Mott insulator of filling
factor .Comment: 5 twocolumn pages in RevTex, no figure
Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
We study the current in a multi-channel quantum wire and the magnetization in
the multi-channel Kondo problem. We show that at zero temperature they can be
written simply in terms of contour integrals over a (two-dimensional)
hyperelliptic curve. This allows one to easily demonstrate the existence of
weak-coupling to strong-coupling dualities. In the Kondo problem, the curve is
the same for under- and over-screened cases; the only change is in the contour.Comment: 7 pages, 1 figure, revte
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