304 research outputs found
Multiplet Effects in the Quasiparticle Band Structure of the Anderson Model
In this paper, we examine the mean field electronic structure of the
Anderson lattice model in a slave boson approximation, which should
be useful in understanding the physics of correlated metals with more than one
f electron per site such as uranium-based heavy fermion superconductors. We
find that the multiplet structure of the ion acts to quench the crystal
field splitting in the quasiparticle electronic structure. This is consistent
with experimental observations in such metals as .Comment: 9 pages, revtex, 3 uuencoded postscript figures attached at en
Interplay of crystal field structures with configuration to heavy fermions
We examine a relevance between characteristic of crystal field structures and
heavily renormalized quasiparticle states in the -- Anderson
lattice model. Using a slave-boson mean-field approximation, we find that for
configurations two or three quasiparticle bands are formed near the Fermi
level depending on the number of the relevant orbitals in the
crystal field ground state. The inter-orbital correlations characterizing the
crystal field ground state closely reflect in inter-band residual interactions
among quasiparticles. Particularly in the case of a singlet crystal field
ground state, resulting residual antiferromagnetic exchange interactions among
the quasiparticles lead to an anomalous suppression of the quasiparticle
contribution of the spin susceptibility, even though the quasiparticle mass is
strongly enhanced.Comment: 8 pages, 7 color figures, in JPSJ styl
Superconductivity in the two dimensional Hubbard Model.
Quasiparticle bands of the two-dimensional Hubbard model are calculated using
the Roth two-pole approximation to the one particle Green's function. Excellent
agreement is obtained with recent Monte Carlo calculations, including an
anomalous volume of the Fermi surface near half-filling, which can possibly be
explained in terms of a breakdown of Fermi liquid theory. The calculated bands
are very flat around the (pi,0) points of the Brillouin zone in agreement with
photoemission measurements of cuprate superconductors. With doping there is a
shift in spectral weight from the upper band to the lower band. The Roth method
is extended to deal with superconductivity within a four-pole approximation
allowing electron-hole mixing. It is shown that triplet p-wave pairing never
occurs. Singlet d_{x^2-y^2}-wave pairing is strongly favoured and optimal
doping occurs when the van Hove singularity, corresponding to the flat band
part, lies at the Fermi level. Nearest neighbour antiferromagnetic correlations
play an important role in flattening the bands near the Fermi level and in
favouring superconductivity. However the mechanism for superconductivity is a
local one, in contrast to spin fluctuation exchange models. For reasonable
values of the hopping parameter the transition temperature T_c is in the range
10-100K. The optimum doping delta_c lies between 0.14 and 0.25, depending on
the ratio U/t. The gap equation has a BCS-like form and (2*Delta_{max})/(kT_c)
~ 4.Comment: REVTeX, 35 pages, including 19 PostScript figures numbered 1a to 11.
Uses epsf.sty (included). Everything in uuencoded gz-compressed .tar file,
(self-unpacking, see header). Submitted to Phys. Rev. B (24-2-95
Pathway to the PiezoElectronic Transduction Logic Device
The information age challenges computer technology to process an
exponentially increasing computational load on a limited energy budget - a
requirement that demands an exponential reduction in energy per operation. In
digital logic circuits, the switching energy of present FET devices is
intimately connected with the switching voltage, and can no longer be lowered
sufficiently, limiting the ability of current technology to address the
challenge. Quantum computing offers a leap forward in capability, but a clear
advantage requires algorithms presently developed for only a small set of
applications. Therefore, a new, general purpose, classical technology based on
a different paradigm is needed to meet the ever increasing demand for data
processing.Comment: in Nano Letters (2015
Quantum Monte Carlo Evidence for d-wave Pairing in the 2D Hubbard Model at a van Hove Singularity
We implement a Quantum Monte Carlo calculation for a repulsive Hubbard model
with nearest and next-nearest neighbor hopping interactions on clusters up to
12x12. A parameter region where the Fermi level lies close to the van Hove
singularity at the Saddle Points in the bulk band structure is investigated. A
pairing tendency in the symmetry channel, but no other channel,
is found. Estimates of the effective pairing interaction show that it is close
to the value required for a 40 K superconductor. Finite-size scaling compares
with the attractive Hubbard model.Comment: 11 pages, REVTex, 4 figures, postscrip
Effects of proximity to an electronic topological transition on normal state transport properties of the high-Tc superconductors
Within the time dependent Ginzburg-Landau theory, the effects of the
superconducting fluctuations on the transport properties above the critical
temperature are characterized by a non-zero imaginary part of the relaxation
rate gamma of the order parameter. Here, we evaluate Im gamma for an
anisotropic dispersion relation typical of the high-Tc cuprate superconductors
(HTS), characterized by a proximity to an electronic topological transition
(ETT). We find that Im gamma abruptly changes sign at the ETT as a function of
doping, in agreement with the universal behavior of the HTS. We also find that
an increase of the in-plane anisotropy, as is given by a non-zero value of the
next-nearest to nearest hopping ratio r=t'/t, increases the value of | Im gamma
| close to the ETT, as well as its singular behavior at low temperature,
therefore enhancing the effect of superconducting fluctuations. Such a result
is in qualitative agreement with the available data for the excess Hall
conductivity for several cuprates and cuprate superlattices.Comment: to appear in Phys. Rev.
The Strong Coupling Fixed-Point Revisited
In recent work we have shown that the Fermi liquid aspects of the strong
coupling fixed point of the s-d and Anderson models can brought out more
clearly by interpreting the fixed point as a renormalized Anderson model,
characterized by a renormalized level , resonance width,
, and interaction , and a simple prescription for their
calculation was given using the numerical renormalization group (NRG). These
three parameters completely specify a renormalized perturbation theory (RPT)
which leads to exact expressions for the low temperature behaviour. Using a
combination of the two techniques, NRG to determine ,
, and , and then substituting these in the RPT
expressions gives a very efficient and accurate way of calculating the low
temperature behaviour of the impurity as it avoids the necessity of subtracting
out the conduction electron component. Here we extend this approach to an
Anderson model in a magnetic field, so that , ,
and become dependent on the magnetic field. The de-renormalization
of the renormalized quasiparticles can then be followed as the magnetic field
strength is increased. Using these running coupling constants in a RPT
calculation we derive an expression for the low temperature conductivity for
arbitrary magnetic field strength.Comment: Contribution to JPSJ volume commemorating the 40th anniversary of the
publication of Kondo's original pape
Gap-anisotropic model for the narrow-gap Kondo insulators
A theory is presented which accounts for the dynamical generation of a
hybridization gap with nodes in the Kondo insulating materials and
. We show that Hunds interactions acting on virtual
configurations of the cerium ion can act to dynamically select the shape of the
cerium ion by generating a Weiss field which couples to the shape of the ion.
In low symmetry crystals where the external crystal fields are negligible, this
process selects a nodal Kondo semimetal state as the lowest energy
configuration.Comment: Substantially Revised Versio
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