364 research outputs found
Non-perturbative approach to nearly antiferromagnetic Fermi liquids
We present a non-perturbative approach to the problem of quasiparticles
coupled to spin-fluctuations. If the fully dressed spin-fluctuation propagator
is used in the Feynman graph expansion of the single-particle Green's function,
the problem of summing all spin-fluctuation exchange graphs (i.e without
virtual fermion loops) can be cast as a functional integral over gaussian
distributed random vector fields. A Monte Carlo sampling of this functional
integral does not suffer from the 'fermion sign problem' and offers an
attractive alternative to perturbative calculations. We compare the results of
our computer simulations with perturbation theory and self-consistent one-loop
calculations.Comment: 11 pages, 4 figure
The Influence of Magnetic Imperfections on the Low Temperature Properties of D-wave Superconductors
We consider the influence of planar ``magnetic" imperfections which destroy
the local magnetic order, such as Zn impurities or vacancies, on the
low temperature properties of the cuprate superconductors. In the unitary
limit, at low temperatures, for a pairing state such
imperfections produce low energy quasiparticles with an anistropic spectrum in
the vicinity of the nodes. We find that for the system, one
is in the {\em quasi-one-dimensional} regime of quasiparticle scattering,
discussed recently by Altshuler, Balatsky, and Rosengren, for impurity
concentrations in excess of whereas YBCO appears likely to be
in the true 2D scattering regime for Zn concentrations less than . We
show the neutron scattering results of Mason et al. \cite{Aeppli} on
provide strong evidence for ``dirty d-wave"
superconductivity in their samples. We obtain simple expressions for the
dynamic spin susceptibility and spin-lattice relaxation time,
, in the superconducting state.Comment: 10 pages; revtex; Los Alamos preprint LA-UR-94-53
Magnetically mediated superconductivity: Crossover from cubic to tetragonal lattice
We compare predictions of the mean-field theory of superconductivity for
nearly antiferromagnetic and nearly ferromagnetic metals for cubic and
tetragonal lattices. The calculations are based on the parametrization of an
effective interaction arising from the exchange of magnetic fluctuations and
assume that a single band is relevant for superconductivity. The results show
that for comparable model parameters, the robustness of magnetic pairing
increases gradually as one goes from a cubic structure to a more and more
anisotropic tetragonal structure either on the border of antiferromagnetism or
ferromagnetism.Comment: 16 pages 14 figure
Density Fluctuation Mediated Superconductivity
We conpare predictions of the mean-field theory of supercnductivity for
metallic systems on the border of a density instability for cubic and
tetragonal lattices. The calculations are based on a parametrisation of an
effective interaction arising from the exchange of density fluctuations and
assume that a single band is relevant for superconductivity. The results show
that for comparable model parameters, desnity fluctuation mediated pairing is
more robust in quasi-two dimensions than in three dimensions, and that the
robustness of pairing increases gradually as one goes from a cubic to a more
and more anisotropic tetragonal structure. We also find that the robustness of
density fluctuation mediated pairing can depend sensitively on the incipient
ordering wavevector. We discuss the similarities and differences between the
mean-field theories of superconductivity for density and magnetically mediated
pairing
On the vertex corrections in antiferromagnetic spin fluctuation theories
We argue that recent calculations by Amin and Stamp (PRL 77, 301 (1996);
cond-mat/9601086) overestimate the strength of the vertex corrections in the
spin-fermion model for cuprates. We clarify the physical origin of the apparent
discrepancy between their results and earlier calculations. We also comment on
the relative sign of the vertex correction.Comment: 3 pages, Revtex, 1 figure, ps-file also available at
http://lifshitz.physics.wisc.edu/www/morr/morr_homepage.htm
Diagrammatic perturbation theory and the pseudogap
We study a model of quasiparticles on a two-dimensional square lattice
coupled to Gaussian distributed dynamical fields. The model describes
quasiparticles coupled to spin or charge fluctuations and is solved by a Monte
Carlo sampling of the molecular field distributions. The non-perturbative
solution is compared to various approximations based on diagrammatic
perturbation theory. When the molecular field correlations are sufficiently
weak, the diagrammatic calculations capture the qualitative aspects of the
quasiparticle spectrum. For a range of model parameters near the magnetic
boundary, we find that the quasiparticle spectrum is qualitatively different
from that of a Fermi liquid in that it shows a double peak structure, and that
the diagrammatic approximations we consider fail to reproduce, even
qualitatively, the results of the Monte Carlo calculations. This suggests that
the pseudogap induced by a coupling to antiferromagnetic fluctuations and the
spin-splitting of the quasiparticle peak induced by a coupling to ferromagnetic
spin-fluctuations lie beyond diagrammatic perturbation theory
Electronic Structure of Sodium Cobalt Oxide: Comparing Mono- and Bilayer-hydrate
To shed new light on the mechanism of superconductivity in sodium cobalt
oxide bilayer-hydrate (BLH), we perform a density functional calculation with
full structure optimization for BLH and its related nonsuperconducting phase,
monolayer hydrate (MLH). We find that these hydrates have similar band
structures, but a notable difference can be seen in the band around
the Fermi level. While its dispersion in the direction is negligibly small
for BLH, it is of the order of 0.1 eV for MLH. This result implies that the
three dimensional feature of the band may be the origin for the
absence of superconductivity in MLH.Comment: 5 pages, 7 figures, to be published in Phys. Rev.
Theory of Spin Fluctuation-Induced Superconductivity Based on a d-p Model. II. -Superconducting State-
The superconducting state of a two-dimensional d-p model is studied from the
spin fluctuation point of view by using a strong coupling theory. The
fluctuation exchange (FLEX) approximatoin is employed to calculate the spin
fluctuations and the superconducting gap functions self-consistently in the
optimal- and over-doped regions of hole concentration. The gap function has a
symmetry of d_{x^2 - y^2} type and develops below the transition temperature
T_c more rapidly than in the BCS model. Its saturation value at the maximum is
about 10 T_c. When the spin fluctuation-induced superconductivity is well
stabilized at low temperatures in the optimal regime, the imaginary part of the
antiferromagnetic spin susceptibility shows a very sharp resonance peak
reminiscent of the 41 meV peak observed in the neutron scattering experiment on
YBCO. The one-particle spectral density around k=(pi,0) shows sharp
quasi-particle peaks followed by dip and hump structures bearing resemblance to
the features observed in the angle-resolved photoemission experiment. With
increasing doping concentration these features gradually disappear.Comment: 13 pages(LaTeX), 20 eps figure
Extended bound states and resonances of two fermions on a periodic lattice
The high- cuprates are possible candidates for d-wave superconductivity,
with the Cooper pair wave function belonging to a non-trivial irreducible
representation of the lattice point group. We argue that this d-wave symmetry
is related to a special form of the fermionic kinetic energy and does not
require any novel pairing mechanism. In this context, we present a detailed
study of the bound states and resonances formed by two lattice fermions
interacting via a non-retarded potential that is attractive for nearest
neighbors but repulsive for other relative positions. In the case of strong
binding, a pair formed by fermions on adjacent lattice sites can have a small
effective mass, thereby implying a high condensation temperature. For a weakly
bound state, a pair with non-trivial symmetry tends to be smaller in size than
an s-wave pair. These and other findings are discussed in connection with the
properties of high- cuprate superconductors.Comment: 21 pages, RevTeX, 4 Postscript figures, arithmetic errors corrected.
An abbreviated version (no appendix) appeared in PRB on March 1, 199
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