90 research outputs found
Short-coherence length superconductivity in the Attractive Hubbard Model in three dimensions
We study the normal state and the superconducting transition in the
Attractive Hubbard Model in three dimensions, using self-consistent
diagrammatics. Our results for the self-consistent -matrix approximation are
consistent with 3D-XY power-law critical scaling and finite-size scaling. This
is in contrast to the exponential 2D-XY scaling the method was able to capture
in our previous 2D calculation. We find the 3D transition temperature at
quarter-filling and to be . The 3D critical regime is much
narrower than in 2D and the ratio of the mean-field transition to is
about 5 times smaller than in 2D. We also find that, for the parameters we
consider, the pseudogap regime in 3D (as in 2D) coincides with the critical
scaling regime.Comment: 4 pages, 5 figure
Dynamical Phase Transitions In Driven Integrate-And-Fire Neurons
We explore the dynamics of an integrate-and-fire neuron with an oscillatory
stimulus. The frustration due to the competition between the neuron's natural
firing period and that of the oscillatory rhythm, leads to a rich structure of
asymptotic phase locking patterns and ordering dynamics. The phase transitions
between these states can be classified as either tangent or discontinuous
bifurcations, each with its own characteristic scaling laws. The discontinuous
bifurcations exhibit a new kind of phase transition that may be viewed as
intermediate between continuous and first order, while tangent bifurcations
behave like continuous transitions with a diverging coherence scale.Comment: 4 pages, 5 figure
Robustness of a local Fermi Liquid against Ferromagnetism and Phase Separation
We study the properties of Fermi Liquids with the microscopic constraint of a
local self-energy. In this case the forward scattering sum-rule imposes strong
limitations on the Fermi-Liquid parameters, which rule out any Pomeranchek
instabilities. For both attractive and repulsive interactions, ferromagnetism
and phase separation are suppressed. Superconductivity is possible in an s-wave
channel only. We also study the approach to the metal-insulator transition, and
find a Wilson ratio approaching 2. This ratio and other properties of
Sr_{1-x}La_xTiO_3 are all consistent with the local Fermi Liquid scenario.Comment: 4 pages (twocolumn format), can compile with or without epsf.sty
latex style file -- Postscript files: fig1.ps and fig2.p
Nesting Induced Precursor Effects: a Renormalization Group Approach
We develop a controlled weak coupling renormalization group (RG) approach to
itinerant electrons. Within this formalism we rederive the phase diagram for
two-dimensional (2D) non-nested systems. Then we study how nesting modifies
this phase diagram. We show that competition between p-p and p-h channels,
leads to the manifestation of unstable precursor fixed points in the RG flow.
This effect should be experimentally measurable, and may be relevant for an
explanation of pseudogaps in the high temperature superconductors (HTC), as a
crossover phenomenon.Comment: 4 pages, 4 figures, 1 tabl
Inhomogeneous d-wave superconducting state of a doped Mott insulator
Recent scanning tunneling microscope (STM) measurements discovered remarkable
electronic inhomogeneity, i.e. nano-scale spatial variations of the local
density of states (LDOS) and the superconducting energy gap, in the high-Tc
superconductor BSCCO. Based on the experimental findings we conjectured that
the inhomogeneity arises from variations in local oxygen doping level and may
be generic of doped Mott insulators which behave rather unconventionally in
screening the dopant ionic potentials at atomic scales comparable to the short
coherence length. Here, we provide theoretical support for this picture. We
study a doped Mott insulator within a generalized t-J model, where doping is
accompanied by ionic Coulomb potentials centered in the BiO plane. We calculate
the LDOS spectrum, the integrated LDOS, and the local superconducting gap, make
detailed comparisons to experiments, and find remarkable agreement with the
experimental data. We emphasize the unconventional screening in a doped Mott
insulator and show that nonlinear screening dominates at nano-meter scales
which is the origin of the electronic inhomogeneity. It leads to strong
inhomogeneous redistribution of the local hole density and promotes the notion
of a local doping concentration. We find that the inhomogeneity structure
manifests itself at all energy scales in the STM tunneling differential
conductance, and elucidate the similarity and the differences between the data
obtained in the constant tunneling current mode and the same data normalized to
reflect constant tip-to-sample distance. We also discuss the underdoped case
where nonlinear screening of the ionic potential turns the spatial electronic
structure into a percolative mixture of patches with smaller pairing gaps
embedded in a background with larger gaps to single particle excitations.Comment: 19 pages, final versio
Pairing fluctuations and pseudogaps in the attractive Hubbard model
The two-dimensional attractive Hubbard model is studied in the weak to
intermediate coupling regime by employing a non-perturbative approach. It is
first shown that this approach is in quantitative agreement with Monte Carlo
calculations for both single-particle and two-particle quantities. Both the
density of states and the single-particle spectral weight show a pseudogap at
the Fermi energy below some characteristic temperature T*, also in good
agreement with quantum Monte Carlo calculations. The pseudogap is caused by
critical pairing fluctuations in the low-temperature renormalized classical
regime of the two-dimensional system. With increasing temperature
the spectral weight fills in the pseudogap instead of closing it and the
pseudogap appears earlier in the density of states than in the spectral
function. Small temperature changes around T* can modify the spectral weight
over frequency scales much larger than temperature. Several qualitative results
for the s-wave case should remain true for d-wave superconductors.Comment: 20 pages, 12 figure
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