7,802 research outputs found
Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates
Scanning tunneling spectroscopy (STS) is a useful probe for studying the
cuprates in the superconducting and pseudogap states. Here we present a
theoretical study of the Z-map, defined as the ratio of the local density of
states at positive and negative bias energies, which frequently is used to
analyze STS data. We show how the evolution of the quasiparticle interference
peaks in the Fourier transform Z-map can be understood by considering different
types of impurity scatterers, as well as particle-hole asymmetry in the
underlying bandstructure. We also explore the effects of density wave orders,
and show that the Fourier transform Z-map may be used to both detect and
distinguish between them.Comment: final version published in Phys. Rev.
Time-resolved photoemission of correlated electrons driven out of equilibrium
We describe the temporal evolution of the time-resolved photoemission
response of the spinless Falicov-Kimball model driven out of equilibrium by
strong applied fields. The model is one of the few possessing a metal-insulator
transition and admitting an exact solution in the time domain. The
nonequilibrium dynamics, evaluated using an extension of dynamical mean-field
theory, show how the driven system differs from two common viewpoints - a
quasiequilibrium system at an elevated effective temperature (the "hot"
electron model) or a rapid interaction quench ("melting" of the Mott gap) - due
to the rearrangement of electronic states and redistribution of spectral
weight. The results demonstrate the inherent trade-off between energy and time
resolution accompanying the finite width probe pulses, characteristic of those
employed in pump-probe time-domain experiments, which can be used to focus
attention on different aspects of the dynamics near the transition.Comment: Original: 5 pages, 3 figures; Replaced: updated text and figures, 5
pages, 4 figure
Denominator Bounds and Polynomial Solutions for Systems of q-Recurrences over K(t) for Constant K
We consider systems A_\ell(t) y(q^\ell t) + ... + A_0(t) y(t) = b(t) of
higher order q-recurrence equations with rational coefficients. We extend a
method for finding a bound on the maximal power of t in the denominator of
arbitrary rational solutions y(t) as well as a method for bounding the degree
of polynomial solutions from the scalar case to the systems case. The approach
is direct and does not rely on uncoupling or reduction to a first order system.
Unlike in the scalar case this usually requires an initial transformation of
the system.Comment: 8 page
Absolute Continuity Theorem for Random Dynamical Systems on
In this article we provide a proof of the so called absolute continuity
theorem for random dynamical systems on which have an invariant
probability measure. First we present the construction of local stable
manifolds in this case. Then the absolute continuity theorem basically states
that for any two transversal manifolds to the family of local stable manifolds
the induced Lebesgue measures on these transversal manifolds are absolutely
continuous under the map that transports every point on the first manifold
along the local stable manifold to the second manifold, the so-called
Poincar\'e map or holonomy map. In contrast to known results, we have to deal
with the non-compactness of the state space and the randomness of the random
dynamical system.Comment: 46 page
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