28 research outputs found
Random Mass Dirac Fermions in Doped Spin-Peierls and Spin-Ladder systems: One-Particle Properties and Boundary Effects
Quasi-one-dimensional spin-Peierls and spin-ladder systems are characterized
by a gap in the spin-excitation spectrum, which can be modeled at low energies
by that of Dirac fermions with a mass. In the presence of disorder these
systems can still be described by a Dirac fermion model, but with a random
mass. Some peculiar properties, like the Dyson singularity in the density of
states, are well known and attributed to creation of low-energy states due to
the disorder. We take one step further and study single-particle correlations
by means of Berezinskii's diagram technique. We find that, at low energy
, the single-particle Green function decays in real space like
. It follows that at these energies the
correlations in the disordered system are strong -- even stronger than in the
pure system without the gap. Additionally, we study the effects of boundaries
on the local density of states. We find that the latter is logarithmically (in
the energy) enhanced close to the boundary. This enhancement decays into the
bulk as and the density of states saturates to its bulk value on
the scale . This scale is different from
the Thouless localization length . We
also discuss some implications of these results for the spin systems and their
relation to the investigations based on real-space renormalization group
approach.Comment: 26 pages, LaTex, 9 PS figures include
Critical properties of the double-frequency sine-Gordon model with applications
We study the properties of the double-frequency sine--Gordon model in the
vicinity of the Ising quantum phase transition displayed by this model. Using a
mapping onto a generalised lattice quantum Ashkin-Teller model, we obtain
critical and nearly-off-critical correlation functions of various operators. We
discuss applications of the double-sine-Gordon model to one-dimensional
physical systems, like spin chains in a staggered external field and
interacting electrons in a staggered potential.Comment: 51 pages, Latex fil
Persistent currents in mesoscopic rings with a quantum dot
Using the Anderson model in the Kondo regime, we calculate the persistent
current j in a ring with an embedded quantum dot (QD) as a function of the
Aharonov-Bohm flux Phi for different ring length L, temperature T and
broadening of the conduction states delta . For T=delta =0 and L >> xi, where
xi is the Kondo screening length, Lj tends to the value for a non interacting
ideal ring, while it is suppressed for a side coupled QD. For any L/xi, Lj is
also suppressed when either T or delta increase above a fraction of the level
spacing which depends on Phi.Comment: 5 pages, 6 figures, submitted to Phys. Rev. B, (Refs. added
Propagation of wave packets in randomly stratified media
The propagation of a narrow-band signal radiated by a point source in a
randomly layered absorbing medium is studied asymptotically in the
weak-scattering limit. It is shown that in a disordered stratified medium that
is homogeneous on average a pulse is channelled along the layers in a narrow
strip in the vicinity of the source. The space-time distribution of the pulse
energy is calculated. Far from the source, the shape of wave packets is
universal and independent of the frequency spectrum of the radiated signal.
Strong localization effects manifest themselves also as a low-decaying tail of
the pulse and a strong time delay in the direction of stratification. The
frequency-momentum correlation function in a one-dimensional random medium is
calculated.Comment: 11 pages, 3 figures, Revtex-4. Submitted to Phys. Rev.
Nonohmic conductivity as a probe of crossover from diffusion to hopping in two dimensions
We show that the study of conductivity nonlinearity gives a possibility to
determine the condition when the diffusion conductivity changes to the hopping
one with increasing disorder. It is experimentally shown that the conductivity
of single quantum well GaAs/InGaAs/GaAs heterostructures behaves like diffusive
one down to value of order .Comment: 4 pages, 2 figure
The fate of spinons in spontaneously dimerised spin-1/2 ladders
We study a weakly coupled, frustrated two-leg spin-1/2 Heisenberg ladder. For
vanishing coupling between the chains, elementary excitations are deconfined,
gapless spin-1/2 objects called spinons. We investigate the fate of spinons for
the case of a weak interchain interaction. We show that despite a drastic
change in ground state, which becomes spontaneously dimerised, spinons survive
as elementary excitations but acquire a spectral gap. We furthermore determine
the exact dynamical structure factor for several values of momentum transfer.Comment: 8 pages of revtex, 7 figures; discussion of physical picture for
ground state and excitations in the "twistless" ladder expanded, version to
appear in Phys Rev
Evolution of wave packets in quasi-1D and 1D random media: diffusion versus localization
We study numerically the evolution of wavepackets in quasi one-dimensional
random systems described by a tight-binding Hamiltonian with long-range random
interactions. Results are presented for the scaling properties of the width of
packets in three time regimes: ballistic, diffusive and localized. Particular
attention is given to the fluctuations of packet widths in both the diffusive
and localized regime. Scaling properties of the steady-state distribution are
also analyzed and compared with theoretical expression borrowed from
one-dimensional Anderson theory. Analogies and differences with the kicked
rotator model and the one-dimensional localization are discussed.Comment: 32 pages, LaTex, 11 PostScript figure
Tailoring Anderson localization by disorder correlations in 1D speckle potentials
We study Anderson localization of single particles in continuous, correlated,
one-dimensional disordered potentials. We show that tailored correlations can
completely change the energy-dependence of the localization length. By
considering two suitable models of disorder, we explicitly show that disorder
correlations can lead to a nonmonotonic behavior of the localization length
versus energy. Numerical calculations performed within the transfer-matrix
approach and analytical calculations performed within the phase formalism up to
order three show excellent agreement and demonstrate the effect. We finally
show how the nonmonotonic behavior of the localization length with energy can
be observed using expanding ultracold-atom gases
Spreading and localization of wavepackets in disordered wires in a magnetic field
We study the diffusive and localization properties of wavepackets in
disordered wires in a magnetic field. In contrast to a recent supersymmetry
approach our numerical results show that the decay rate of the steady state
changes {\em smoothly} at the crossover from preserved to broken time-reversal
symmetry. Scaling and fluctuation properties are also analyzed and a formula,
which was derived analytically only in the pure symmetry cases is shown to
describe also the steady state wavefunction at the crossover regime. Finally,
we present a scaling for the variance of the packet which shows again a smooth
transition due to the magnetic field.Comment: 4 pages, 4 figure
Lattice dynamics effects on small polaron properties
This study details the conditions under which strong-coupling perturbation
theory can be applied to the molecular crystal model, a fundamental theoretical
tool for analysis of the polaron properties. I show that lattice dimensionality
and intermolecular forces play a key role in imposing constraints on the
applicability of the perturbative approach. The polaron effective mass has been
computed in different regimes ranging from the fully antiadiabatic to the fully
adiabatic. The polaron masses become essentially dimension independent for
sufficiently strong intermolecular coupling strengths and converge to much
lower values than those tradition-ally obtained in small-polaron theory. I find
evidence for a self-trapping transition in a moderately adiabatic regime at an
electron-phonon coupling value of .3. Our results point to a substantial
independence of the self-trapping event on dimensionality.Comment: 8 pages, 5 figure