1,580 research outputs found
Transport in Double-Crossed Luttinger Liquids
We study transport through two Luttinger liquids (one-dimensional electrons
interacting through a Coulomb repulsion in a metal) coupled together at {\it
two} points. External voltage biases are incorporated through boundary
conditions. We include density-density couplings as well as single-particle
hops at the contacts. For weak repulsive interactions, transport through the
wires remains undisturbed by the inter-wire couplings, which renormalise to
zero. For strong repulsive interactions, the inter-wire couplings become
strong. For symmetric barriers and no external voltage bias, a single gate
voltage is sufficient to tune for resonance transmission in both wires.
However, for asymmetric couplings or for finite external biases, the system is
insulating.Comment: Latex file, 11 pages, one eps figur
Tunneling exponents in realistic quantum wires using the mean field approximation
It is demonstrated that the charge Tomonaga-Luttinger parameter of
quantum wires can be estimated accurately using the Hartree-Fock approximation
if carried out self consistently. The dependence of on the carrier
density distinguishes different regimes of importance of correlations
Oscillator Strength of Metallic Carbon Nanotubes
Based on the tight binding method with hopping integral between the
nearest-neighbor atoms, an oscillator strength \int_0^{\infty} \d \omega {\rm
Re} \sigma (\omega) is discussed for armchair and metallic zigzag carbon
nanotubes. The formulae of the oscillator strength are derived for both types
of nanotubes and are compared with the result obtained by a linear chain model.
In addition, the doping dependence is investigated in the absence of Coulomb
interaction. It is shown that the oscillator strength of each carbon nanotube
shows qualitatively the same doping dependence, but the fine structure is
different due to it's own peculiar band structure. Some relations independent
of the radius of the tube are derived, and a useful formula for determining the
amount of doping is proposed.Comment: 4 pages, 4 figures, submitted to J. Phys. Soc. Jpn. at June 30, 200
Field emission from Luttinger liquids and single-wall carbon nanotubes
We develop a theory for the field emission effect in Luttinger liquids and
single-wall carbon nanotubes at the level of the energy resolved current
distribution. We generalise Fowler-Nordheim relations. Just below the Fermi
edge, we find a power-law vanishing current distribution with the density of
states exponent. The current distribution above the Fermi edge owes its
existence to a peculiar interplay of interactions and correlated tunnelling. It
displays a non-trivial power-law divergence just above the Fermi energy.Comment: 4 pages, 2 figures (eps files
Interaction Constants and Dynamic Conductance of a Gated Wire
We show that the interaction constant governing the long-range
electron-electron interaction in a quantum wire coupled to two reservoirs and
capacitively coupled to a gate can be determined by a low frequency
measurement. We present a self-consistent, charge and current conserving theory
of the full conductance matrix. The collective excitation spectrum consists of
plasma modes with a relaxation rate which increases with the interaction
strength and is inversely proportional to the length of the wire. The
interaction parameter is determined by the first two coefficients of the
out-of-phase component of the dynamic conductance measured at the gate.Comment: 4 pages, LaTeX, 2 figure
Spin and Charge Luttinger-Liquid Parameters of the One-Dimensional Electron Gas
Low-energy properties of the homogeneous electron gas in one dimension are
completely described by the group velocities of its charge (plasmon) and spin
collective excitations. Because of the long range of the electron-electron
interaction, the plasmon velocity is dominated by an electrostatic contribution
and can be estimated accurately. In this Letter we report on Quantum Monte
Carlo simulations which demonstrate that the spin velocity is substantially
decreased by interactions in semiconductor quantum wire realizations of the
one-dimensional electron liquid.Comment: 13 pages, figures include
Multi-particle effects in non-equilibrium electron tunnelling and field emission
We investigate energy resolved electric current from various correlated host
materials under out-of-equilibrium conditions. We find that, due to a combined
effect of electron-electron interactions, non-equilibrium and multi-particle
tunnelling, the energy resolved current is finite even above the Fermi edge of
the host material. In most cases, the current density possesses a singularity
at the Fermi level revealing novel manifestations of correlation effects in
electron tunnelling. By means of the Keldysh non-equilibrium technique, the
current density is calculated for one-dimensional interacting electron systems
and for two-dimensional systems, both in the pure limit and in the presence of
disorder. We then specialise to the field emission and provide a comprehensive
theoretical study of this effect in carbon nanotubes.Comment: 22 pages, 8 figures (eps files
Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
The crossover from weak to strong correlations in parabolic quantum dots at
zero magnetic field is studied by numerically exact path-integral Monte Carlo
simulations for up to eight electrons. By the use of a multilevel blocking
algorithm, the simulations are carried out free of the fermion sign problem. We
obtain a universal crossover only governed by the density parameter . For
, the data are consistent with a Wigner molecule description, while
for , Fermi liquid behavior is recovered. The crossover value is surprisingly small.Comment: 4 pages RevTeX, 3 figures, corrected Tabl
Ground-state energy and spin in disordered quantum dots
We investigate the ground-state energy and spin of disordered quantum dots
using spin-density-functional theory. Fluctuations of addition energies
(Coulomb-blockade peak spacings) do not scale with average addition energy but
remain proportional to level spacing. With increasing interaction strength, the
even-odd alternation of addition energies disappears, and the probability of
non-minimal spin increases, but never exceeds 50%. Within a two-orbital model,
we show that the off-diagonal Coulomb matrix elements help stabilize a ground
state of minimal spin.Comment: 10 pages, 2 figure
Scaling and criticality of the Kondo effect in a Luttinger liquid
A quantum Monte Carlo simulation method has been developed and applied to
study the critical behavior of a single Kondo impurity in a Luttinger liquid.
This numerically exact method has no finite-size limitations and allows to
simulate the whole temperature range. Focusing on the impurity magnetic
susceptibility, we determine the scaling functions, in particular for
temperatures well below the Kondo temperature. In the absence of elastic
potential scattering, we find Fermi-liquid behavior for strong
electron-electron interactions, g_c < 1/2, and anomalous power laws for 1/2<g_c
< 1, where g_c is the correlation parameter of the Luttinger liquid. These
findings resolve a recent controversy. If elastic potential scattering is
present, we find a logarithmically divergent impurity susceptibility at g_c<1/2
which can be rationalized in terms of the two-channel Kondo model.Comment: 11 pages REVTeX, incl. 9 PS figures, subm. to PR
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