875 research outputs found
Thermoelectric Response Near the Density Driven Mott Transition
We investigate the thermoelectric response of correlated electron systems
near the density driven Mott transition using the dynamical mean field theory.Comment: 4 pages, 2 embedded figure
Spectral Properties of Holstein and Breathing Polarons
We calculate the spectral properties of the one-dimensional Holstein and
breathing polarons using the self-consistent Born approximation. The Holstein
model electron-phonon coupling is momentum independent while the breathing
coupling increases monotonically with the phonon momentum. We find that for a
linear or tight binding electron dispersion: i) for the same value of the
dimensionless coupling the quasiparticle renormalization at small momentum in
the breathing polaron is much smaller, ii) the quasiparticle renormalization at
small momentum in the breathing polaron increases with phonon frequency unlike
in the Holstein model where it decreases, iii) in the Holstein model the
quasiparticle dispersion displays a kink and a small gap at an excitation
energy equal to the phonon frequency w0 while in the breathing model it
displays two gaps, one at excitation energy w0 and another one at 2w0. These
differences have two reasons: first, the momentum of the relevant scattered
phonons increases with increasing polaron momentum and second, the breathing
bare coupling is an increasing function of the phonon momentum. These result in
an effective electron-phonon coupling for the breathing model which is an
increasing function of the total polaron momentum, such that the small momentum
polaron is in the weak coupling regime while the large momentum one is in the
strong coupling regime. However the first reason does not hold if the free
electron dispersion has low energy states separated by large momentum, as in a
higher dimensional system for example, in which situation the difference
between the two models becomes less significant.Comment: 11 pages, 10 figure
A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
We present the algorithmic details of the dynamical cluster approximation
(DCA), with a quantum Monte Carlo (QMC) method used to solve the effective
cluster problem. The DCA is a fully-causal approach which systematically
restores non-local correlations to the dynamical mean field approximation
(DMFA) while preserving the lattice symmetries. The DCA becomes exact for an
infinite cluster size, while reducing to the DMFA for a cluster size of unity.
We present a generalization of the Hirsch-Fye QMC algorithm for the solution of
the embedded cluster problem. We use the two-dimensional Hubbard model to
illustrate the performance of the DCA technique. At half-filling, we show that
the DCA drives the spurious finite-temperature antiferromagnetic transition
found in the DMFA slowly towards zero temperature as the cluster size
increases, in conformity with the Mermin-Wagner theorem. Moreover, we find that
there is a finite temperature metal to insulator transition which persists into
the weak-coupling regime. This suggests that the magnetism of the model is
Heisenberg like for all non-zero interactions. Away from half-filling, we find
that the sign problem that arises in QMC simulations is significantly less
severe in the context of DCA. Hence, we were able to obtain good statistics for
small clusters. For these clusters, the DCA results show evidence of non-Fermi
liquid behavior and superconductivity near half-filling.Comment: 25 pages, 15 figure
Two-dimensional Hubbard-Holstein bipolaron
We present a diagrammatic Monte Carlo study of the properties of the
Hubbard-Holstein bipolaron on a two-dimensional square lattice. With a small
Coulomb repulsion, U, and with increasing electron-phonon interaction, and when
reaching a value about two times smaller than the one corresponding to the
transition of light polaron to heavy polaron, the system suffers a sharp
transition from a state formed by two weakly bound light polarons to a heavy,
strongly bound on-site bipolaron. Aside from this rather conventional bipolaron
a new bipolaron state is found for large U at intermediate and large
electron-phonon coupling, corresponding to two polarons bound on
nearest-neighbor sites. We discuss both the properties of the different
bipolaron states and the transition from one state to another. We present a
phase diagram in parameter space defined by the electron-phonon coupling and U.
Our numerical method does not use any artificial approximation and can be
easily modified to other bipolaron models with longer range electron-phonon
and/or electron-electron interaction.Comment: 14 pages, 12 figure
The low-energy scale of the periodic Anderson model
Wilson's Numerical Renormalization Group method is used to study the
paramagnetic ground state of the periodic Anderson model within the dynamical
mean-field approach. For the particle-hole symmetric model, which is a Kondo
insulator, we find that the lattice Kondo scale T_0 is strongly enhanced over
the impurity scale T_K; T_0/T_K ~ exp(1/3I), where I is the Schrieffer-Wolff
exchange coupling. In the metallic regime, where the conduction band filling is
reduced from one, we find characteristic signatures of Nozi\`eres exhaustion
scenario, including a strongly reduced lattice Kondo scale, a significant
suppression of the states available to screen the f-electron moment, and a
Kondo resonance with a strongly enhanced height. However, in contrast to the
quantitative predictions of Nozi\`eres, we find that the T_0 ~ T_K with a
coefficient which depends strongly on conduction band filling.Comment: 11 pages, 9 figures, submitted to Phys. Rev.
Drude weight and dc-conductivity of correlated electrons
The Drude weight and the dc-conductivity of strongly
correlated electrons are investigated theoretically. Analytic results are
derived for the homogeneous phase of the Hubbard model in
dimensions, and for spinless fermions in this limit with -corrections
systematically included to lowest order. It is found that is
finite for all , displaying Fermi liquid behavior, , at low temperatures. The validity of this result for finite dimensions
is examined by investigating the importance of Umklapp scattering processes and
vertex corrections. A finite dc-conductivity for is argued to be a
generic feature of correlated lattice electrons in not too low dimensions.Comment: 15 pages, uuencoded compressed PS-fil
Weak-coupling expansions for the attractive Holstein and Hubbard models
Weak-coupling expansions (conserving approximations) are carried out for the
attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic
lattice) that include all bandstructure and vertex correction effects. Quantum
fluctuations are found to renormalize transition temperatures by factors of
order unity, but may be incorporated into the superconducting channel of
Migdal-Eliashberg theory by renormalizing the phonon frequency and the
interaction strength.Comment: 10 pages, (five figures available from the author by request) typeset
with ReVTeX, preprint NSF-ITP-93-10
Theory of "ferrisuperconductivity" in
We construct a two component Ginzburg-Landau theory with coherent pair motion
and incoherent quasiparticles for the phase diagram of .
The two staggered superconducting states live at the Brillouin zone center and
the zone boundary, and coexist for temperatures at concentrations
. We predict below
appearance of a charge density wave (CDW) and Be-sublattice distortion. The
distortion explains the SR relaxation anomaly, and Th-impurity mediated
scattering of ultrasound to CDW fluctuations explains the attenuation peak.Comment: 4 pages, 4 eps figures, REVTe
The Dynamical Cluster Approximation: Non-Local Dynamics of Correlated Electron Systems
We recently introduced the dynamical cluster approximation(DCA), a new
technique that includes short-ranged dynamical correlations in addition to the
local dynamics of the dynamical mean field approximation while preserving
causality. The technique is based on an iterative self-consistency scheme on a
finite size periodic cluster. The dynamical mean field approximation (exact
result) is obtained by taking the cluster to a single site (the thermodynamic
limit). Here, we provide details of our method, explicitly show that it is
causal, systematic, -derivable, and that it becomes conserving as the
cluster size increases. We demonstrate the DCA by applying it to a Quantum
Monte Carlo and Exact Enumeration study of the two-dimensional Falicov-Kimball
model. The resulting spectral functions preserve causality, and the spectra and
the CDW transition temperature converge quickly and systematically to the
thermodynamic limit as the cluster size increases.Comment: 19 pages, 13 postscript figures, revte
Vertex-corrected perturbation theory for the electron-phonon problem with non-constant density of states
A series of weak-coupling perturbation theories which include the
lowest-order vertex corrections are applied to the attractive Holstein model in
infinite dimensions. The approximations are chosen to reproduce the iterated
perturbation theory in the limit of half-filling and large phonon frequency
(where the Holstein model maps onto the Hubbard model). Comparison is made with
quantum Monte Carlo solutions to test the accuracy of different approximation
schemes.Comment: 31 pages, 15 figures, typeset in ReVTe
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