231 research outputs found
Lightcone renormalization and quantum quenches in one-dimensional Hubbard models
The Lieb-Robinson bound implies that the unitary time evolution of an
operator can be restricted to an effective light cone for any Hamiltonian with
short-range interactions. Here we present a very efficient renormalization
group algorithm based on this light cone structure to study the time evolution
of prepared initial states in the thermodynamic limit in one-dimensional
quantum systems. The algorithm does not require translational invariance and
allows for an easy implementation of local conservation laws. We use the
algorithm to investigate the relaxation dynamics of double occupancies in
fermionic Hubbard models as well as a possible thermalization. For the
integrable Hubbard model we find a pure power-law decay of the number of doubly
occupied sites towards the value in the long-time limit while the decay becomes
exponential when adding a nearest neighbor interaction. In accordance with the
eigenstate thermalization hypothesis, the long-time limit is reasonably well
described by a thermal average. We point out though that such a description
naturally requires the use of negative temperatures. Finally, we study a
doublon impurity in a N\'eel background and find that the excess charge and
spin spread at different velocities, providing an example of spin-charge
separation in a highly excited state.Comment: published versio
Kondo physics in transport through a quantum dot with Luttinger liquid leads
We study the gate voltage dependence of the linear conductance through a
quantum dot coupled to one-dimensional leads. For interacting dot electrons but
noninteracting leads Kondo physics implies broad plateau-like resonances. In
the opposite case Luttinger liquid behavior leads to sharp resonances. In the
presence of Kondo as well as Luttinger liquid physics and for experimentally
relevant parameters, we find a line shape that resembles the one of the Kondo
case.Comment: 4+ pages, 4 figures include
High-Velocity Estimates and Inverse Scattering for Quantum N-Body Systems with Stark Effect
In an N-body quantum system with a constant electric field, by inverse
scattering, we uniquely reconstruct pair potentials, belonging to the optimal
class of short-range potentials and long-range potentials, from the
high-velocity limit of the Dollard scattering operator. We give a
reconstruction formula with an error term.Comment: In this published version we have added remarks and we have edited
the pape
On the contribution of nearly-critical spin and charge collective modes to the Raman spectra of high-Tc cuprates
We discuss how Raman spectra are affected by nearly-critical spin and charge
collective modes, which are coupled to charge carriers near a stripe quantum
critical point. We show that specific fingerprints of nearly-critical
collective modes can indeed be observed in Raman spectra and that the
selectivity of Raman spectroscopy in momentum space may also be exploited to
distinguish the spin and charge contribution. We apply our results to discuss
the spectra of high-Tc superconducting cuprates finding that the collective
modes should have masses with substantial temperature dependence in agreement
with their nearly critical character. Moreover spin modes should be more
diffusive than charge modes indicating that in stripes the charge is nearly
ordered, while spin modes are strongly overdamped and fluctuate with high
frequency.Comment: 5 pages, 3 figure
Is local scale invariance a generic property of ageing phenomena ?
In contrast to recent claims by Enss, Henkel, Picone, and Schollwoeck [J.
Phys. A 37, 10479] it is shown that the critical autoresponse function of the
1+1-dimensional contact process is not in agreement with the predictions of
local scale invariance.Comment: 7 pages, 3 figures, final form, c++ source code on reques
Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
We analyze the one-dimensional extended Hubbard model with a single static
impurity by using a computational technique based on the functional
renormalization group. This extends previous work for spinless fermions to
spin-1/2 fermions. The underlying approximations are devised for weak
interactions and arbitrary impurity strengths, and have been checked by
comparing with density-matrix renormalization-group data. We present results
for the density of states, the density profile and the linear conductance.
Two-particle backscattering leads to striking effects, which are not captured
if the bulk system is approximated by its low-energy fixed point, the Luttinger
model. In particular, the expected decrease of spectral weight near the
impurity and of the conductance at low energy scales is often preceded by a
pronounced increase, and the asymptotic power laws are modified by logarithmic
corrections.Comment: 36 pages, 13 figures, revised version as publishe
Strain sensing with sub-micron sized Al-AlOx-Al tunnel junctions
We demonstrate a local strain sensing method for nanostructures based on
metallic Al tunnel junctions with AlOx barriers. The junctions were fabricated
on top of a thin silicon nitride membrane, which was actuated with an AFM tip
attached to a stiff cantilever. A large relative change in the tunneling
resistance in response to the applied strain (gauge factor) was observed, up to
a value 37. This facilitates local static strain variation measurements down to
~10^{-7}.Comment: 4 pages, 3 figure
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