1,049 research outputs found
Efficient calculation of the antiferromagnetic phase diagram of the 3D Hubbard model
The Dynamical Cluster Approximation with Betts clusters is used to calculate
the antiferromagnetic phase diagram of the 3D Hubbard model at half filling.
Betts clusters are a set of periodic clusters which best reflect the properties
of the lattice in the thermodynamic limit and provide an optimal finite-size
scaling as a function of cluster size. Using a systematic finite-size scaling
as a function of cluster space-time dimensions, we calculate the
antiferromagnetic phase diagram. Our results are qualitatively consistent with
the results of Staudt et al. [Eur. Phys. J. B 17 411 (2000)], but require the
use of much smaller clusters: 48 compared to 1000
Heavy-quarks in the QGP: study of medium effects through euclidean propagators and spectral functions
The heavy-quark spectral function in a hot plasma is reconstructed from the
corresponding euclidean propagator. The latter is evaluated through a
path-integral simulation. A weak-coupling calculation is also performed,
allowing to interpret the qualitative behavior of the spectral function in
terms of quite general physical processes.Comment: 4 pages, 3 figures - To appear in the conference proceedings for
Quark Matter 2009, March 30 - April 4, Knoxville, Tennesse
Physics of cuprates with the two-band Hubbard model - The validity of the one-band Hubbard model
We calculate the properties of the two-band Hubbard model using the Dynamical
Cluster Approximation. The phase diagram resembles the generic phase diagram of
the cuprates, showing a strong asymmetry with respect to electron and hole
doped regimes, in agreement with experiment. Asymmetric features are also seen
in one-particle spectral functions and in the charge, spin and d-wave pairing
susceptibility functions. We address the possible reduction of the two-band
model to a low-energy single-band one, as it was suggested by Zhang and Rice.
Comparing the two-band Hubbard model properties with the single-band Hubbard
model ones, we have found similar low-energy physics provided that the
next-nearest-neighbor hopping term t' has a significant value (). The parameter t' is the main culprit for the electron-hole asymmetry.
However, a significant value of t' cannot be provided in a strict Zhang and
Rice picture where the extra holes added into the system bind to the existing
Cu holes forming local singlets. We notice that by considering approximate
singlet states, such as plaquette ones, reasonable values of t', which capture
qualitatively the physics of the two-band model can be obtained. We conclude
that a single-band t-t'-U Hubbard model captures the basic physics of the
cuprates concerning superconductivity, antiferromagnetism, pseudogap and
electron-hole asymmetry, but is not suitable for a quantitative analysis or to
describe physical properties involving energy scales larger than about 0.5 eV.Comment: 14 pages, 16 figure
Molecule Microscopy
Contains reports on two research projects.National Institutes of Health (Grant 1 ROI GM23678)Health Sciences Fun
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
Molecule Microscopy
Contains research objectives and reports on three research projects.Francis L. Friedman ChairNational Institutes of Health (Grant AM-31546
Absence of hysteresis at the Mott-Hubbard metal-insulator transition in infinite dimensions
The nature of the Mott-Hubbard metal-insulator transition in the
infinite-dimensional Hubbard model is investigated by Quantum Monte Carlo
simulations down to temperature T=W/140 (W=bandwidth). Calculating with
significantly higher precision than in previous work, we show that the
hysteresis below T_{IPT}\simeq 0.022W, reported in earlier studies, disappears.
Hence the transition is found to be continuous rather than discontinuous down
to at least T=0.325T_{IPT}. We also study the changes in the density of states
across the transition, which illustrate that the Fermi liquid breaks down
before the gap opens.Comment: 4 pages, 4 eps-figures using epsf.st
Orbital-selective Mott transitions in the anisotropic two-band Hubbard model at finite temperatures
The anisotropic degenerate two-orbital Hubbard model is studied within
dynamical mean-field theory at low temperatures. High-precision calculations on
the basis of a refined quantum Monte Carlo (QMC) method reveal that two
distinct orbital-selective Mott transitions occur for a bandwidth ratio of 2
even in the absence of spin-flip contributions to the Hund exchange. The second
transition -- not seen in earlier studies using QMC, iterative perturbation
theory, and exact diagonalization -- is clearly exposed in a low-frequency
analysis of the self-energy and in local spectra.Comment: 4 pages, 5 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
Transfer of Spectral Weight in Spectroscopies of Correlated Electron Systems
We study the transfer of spectral weight in the photoemission and optical
spectra of strongly correlated electron systems. Within the LISA, that becomes
exact in the limit of large lattice coordination, we consider and compare two
models of correlated electrons, the Hubbard model and the periodic Anderson
model. The results are discussed in regard of recent experiments. In the
Hubbard model, we predict an anomalous enhancement optical spectral weight as a
function of temperature in the correlated metallic state which is in
qualitative agreement with optical measurements in . We argue that
anomalies observed in the spectroscopy of the metal are connected to the
proximity to a crossover region in the phase diagram of the model. In the
insulating phase, we obtain an excellent agreement with the experimental data
and present a detailed discussion on the role of magnetic frustration by
studying the resolved single particle spectra. The results for the periodic
Anderson model are discussed in connection to recent experimental data of the
Kondo insulators and . The model can successfully explain
the different energy scales that are associated to the thermal filling of the
optical gap, which we also relate to corresponding changes in the density of
states. The temperature dependence of the optical sum rule is obtained and its
relevance for the interpretation of the experimental data discussed. Finally,
we argue that the large scattering rate measured in Kondo insulators cannot be
described by the periodic Anderson model.Comment: 19 pages + 29 figures. Submitted to PR
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