119 research outputs found
A Mechanism of Spin-Triplet Superconductivity in Hubbard Model on Triangular La ttice: Application to UNi_2Al_3
We discuss the possibility of spin-triplet superconductivity in a
two-dimensional Hubbard model on a triangular lattice within the third-order
perturbation theory. When we vary the symmetry in the dispersion of the bare
energy band from D_2 to D_6, spin-singlet superconductivity in the
D_2-symmetric system is suppressed and we obtain spin-triplet superconductivity
in near the D_6-symmetric system. In this case, it is found that the vertex
terms, which are not included in the interaction mediated by the spin
fluctuation, are essential for realizing the spin-triplet pairing. We point out
the possibility that obtained results correspond to the difference between the
superconductivity of UNi_2Al_3 and that of UPd_2Al_3.Comment: 11pages, 5figure
Comparison of the phase diagram of the half-filled layered organic superconductors with the phase diagram of the RVB theory of the Hubbard-Heisenberg model
We present an resonating valence bond (RVB) theory of superconductivity for
the Hubbard--Heisenberg model on an anisotropic triangular lattice. We show
that these calculations are consistent with the observed phase diagram of the
half-filled layered organic superconductors, such as the beta, beta', kappa and
lambda phases of (BEDT-TTF)_2X [bis(ethylenedithio)tetrathiafulvalene] and
(BETS)_2X [bis(ethylenedithio)tetraselenafulvalene]. We find a first order
transition from a Mott insulator to a d_{x^2-y^2} superconductor with a small
superfluid stiffness and a pseudogap with d_{x^2-y^2} symmetry. The
Mott--Hubbard transition can be driven either by increasing the on-site Coulomb
repulsion, U, or by changing the anisotropy of the two hopping integrals, t'/t.
Our results suggest that the ratio t'/t plays an important role in determining
the phase diagram of the organic superconductors.Comment: 4 pages, 3 figur
Relaxation Dynamics of Photoinduced Changes in the Superfluid Weight of High-Tc Superconductors
In the transient state of d-wave superconductors, we investigate the temporal
variation of photoinduced changes in the superfluid weight. We derive the
formula that relates the nonlinear response function to the nonequilibrium
distribution function. The latter qunatity is obtained by solving the kinetic
equation with the electron-electron and the electron-phonon interaction
included. By numerical calculations, a nonexponential decay is found at low
temperatures in contrast to the usual exponential decay at high temperatures.
The nonexponential decay originates from the nonmonotonous temporal variation
of the nonequilibrium distribution function at low energies. The main physical
process that causes this behavior is not the recombination of quasiparticles as
previous phenomenological studies suggested, but the absorption of phonons.Comment: 18 pages, 12 figures; to be published in J. Phys. Soc. Jpn. Vol. 80,
No.
Effect of Impurity Scattering on the Nonlinear Microwave Response in High-Tc Superconductors
We theoretically investigate intermodulation distortion in high-Tc
superconductors. We study the effect of nonmagnetic impurities on the real and
imaginary parts of nonlinear conductivity. The nonlinear conductivity is
proportional to the inverse of temperature owing to the dependence of the
damping effect on energy, which arises from the phase shift deviating from the
unitary limit. It is shown that the final-states interaction makes the real
part predominant over the imaginary part. These effects have not been included
in previous theories based on the two-fluid model, enabling a consistent
explanation for the experiments with the rf and dc fields
d- and p-wave superconductivity mediated by spin fluctuations in two- and three-dimensional single-band repulsive Hubbard model
We have systematically studied superconducting instabilities in the repulsive
Hubbard model for d-wave and p-wave pairing in various 2D and 3D lattices.
Using fluctuation exchange approximation, we consider 3D face centered cubic
lattice, 3D body centered cubic lattice, 3D simple cubic lattice, 2D square
lattice and 2D triangular lattice, where either strong ferro- or
antiferromagnetic spin fluctuation is present. We show that (i) d-wave
instability mediated by antiferromagnetic spin fluctuations is stronger than
p-wave instability mediated by ferromagnetic spin fluctuations both in 2D and
3D, and (ii)d-wave instability in 2D is much stronger than that in 3D. These
amount that the "best" situation is the antiferromagnetic-fluctuation mediated
in 2D as far as the single-band Hubbard model on ordinary lattices are
concerned.Comment: 30 figures, to be published in J. Phs. Soc. Jp
Reduction of Tc due to Impurities in Cuprate Superconductors
In order to explain how impurities affect the unconventional
superconductivity, we study non-magnetic impurity effect on the transition
temperature using on-site U Hubbard model within a fluctuation exchange (FLEX)
approximation. We find that in appearance, the reduction of Tc roughly
coincides with the well-known Abrikosov-Gor'kov formula. This coincidence
results from the cancellation between two effects; one is the reduction of
attractive force due to randomness, and another is the reduction of the damping
rate of quasi-particle arising from electron interaction. As another problem,
we also study impurity effect on underdoped cuprate as the system showing
pseudogap phenomena. To the aim, we adopt the pairing scenario for the
pseudogap and discuss how pseudogap phenomena affect the reduction of Tc by
impurities. We find that 'pseudogap breaking' by impurities plays the essential
role in underdoped cuprate and suppresses the Tc reduction due to the
superconducting (SC) fluctuation.Comment: 14 pages, 28 figures To be published in JPS
Effect of Umklapp Scattering on Magnetic Field Penetration Depth in High-Tc Cuprates
The renormalization of the magnetic field penetration depth owing
to the electron-electron correlation is discussed with its application to
high- cuprates. The formula for the current carried by quasiparticle
with the Umklapp scattering is derived, on the basis of which we investigate
how the value of deviates from that of where and
are the carrier density and the effective mass respectively. Although
this deviation is small in the case of weak momentum dependence of the vertex,
this is large and negative owing to the non-negligible value of the backflow in
the case of the strong antiferromagnetic spin fluctuation. The observed doping
dependence of in high- cuprates, specifically a peak
structure at the slightly overdoped region, is explained by the analytical
consideration and the numerical calculation based on the perturbation theory
and the spin fluctuation theory. The consistency between and
at absolute zero, which is the problem the
isotropic model fails to explain, is also obtained by our theory.Comment: 25 pages, 9 figures. Another version(11 pages longer) will appear in
J. Phys. Soc. Jpn (2002) No.
Theory of Nonlinear Meissner Effect in High-Tc Superconductors
We investigate the nonlinear Meissner effect microscopically. Previous
studies did not consider a certain type of interaction effect on the nonlinear
phenomena. The scattering amplitude barely appears without being renormalized
into the Fermi-liquid parameter. With this effect we can solve the outstanding
issues (the quantitative problem, the temperature and angle dependences). The
quantitative calculation is performed with use of the fluctuation-exchange
approximation on the Hubbard model. It is also shown that the perturbation
expansion on the supercurrent by the vector potential converges owing to the
nonlocal effect
Nonlinear Optical Response Functions of Mott Insulators Based on Dynamical Mean Field Approximation
We investigate the nonlinear optical susceptibilities of Mott insulators with
the dynamical mean field approximation. The two-photon absorption (TPA) and the
third-harmonic generation (THG) spectra are calculated, and the classification
by the types of coupling to external fields shows different behavior from
conventional semiconductors. The direct transition terms are predominant both
in the TPA and THG spectra, and the importance of taking all types of
interaction with the external field into account is illustrated in connection
with the THG spectrum and dcKerr effect. The dependence of the TPA and THG
spectra on the Coulomb interaction indicate a scaling relation. We apply this
relation to the quantitative evaluation and obtain results comparable to those
of experiments.Comment: 14 pages, 12 figure
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