12,262 research outputs found
Effect of Particle-Hole Asymmetry on the Mott-Hubbard Metal-Insulator Transition
The Mott-Hubbard metal-insulator transition is one of the most important
problems in correlated electron systems. In the past decade, much progress has
been made on examining a particle-hole symmetric form of the transition in the
Hubbard model with dynamical mean field theory where it was found that the
electronic self energy develops a pole at the transition. We examine the
particle-hole asymmetric metal-insulator transition in the Falicov-Kimball
model, and find that a number of features change when the noninteracting
density of states has a finite bandwidth. Since, generically particle-hole
symmetry is broken in real materials, our results have an impact on
understanding the metal-insulator transition in real materials.Comment: 5 pages, 3 figure
Possible Solutions to the Radius Anomalies of Transiting Giant Planets
We calculate the theoretical evolution of the radii of all fourteen of the
known transiting extrasolar giant planets (EGPs) for a variety of assumptions
concerning atmospheric opacity, dense inner core masses, and possible internal
power sources. We incorporate the effects of stellar irradiation and customize
such effects for each EGP and star. Looking collectively at the family as a
whole, we find that there are in fact two radius anomalies to be explained. Not
only are the radii of a subset of the known transiting EGPs larger than
expected from previous theory, but many of the other objects are smaller than
the default theory would allow. We suggest that the larger EGPs can be
explained by invoking enhanced atmospheric opacities that naturally retain
internal heat. This explanation might obviate the necessity for an extra
internal power source. We explain the smaller radii by the presence in perhaps
all the known transiting EGPs of dense cores, such as have been inferred for
Saturn and Jupiter. Importantly, we derive a rough correlation between the
masses of our "best-fit" cores and the stellar metallicity that seems to
buttress the core-accretion model of their formation. Though many caveats and
uncertainties remain, the resulting comprehensive theory that incorporates
enhanced-opacity atmospheres and dense cores is in reasonable accord with all
the current structural data for the known transiting giant planets.Comment: 22 pages in emulateapj format, including 10 figures (mostly in
color), accepted to the Astrophysical Journal (February 9, 2007); to appear
in volume 661, June 200
Cumulant expansion of the periodic Anderson model in infinite dimension
The diagrammatic cumulant expansion for the periodic Anderson model with
infinite Coulomb repulsion () is considered here for an hypercubic
lattice of infinite dimension (). The same type of simplifications
obtained by Metzner for the cumulant expansion of the Hubbard model in the
limit of , are shown to be also valid for the periodic Anderson
model.Comment: 13 pages, 7 figures.ps. To be published in J. Phys. A: Mathematical
and General (1997
Sequence composition and environment effects on residue fluctuations in protein structures
The spectrum and scale of fluctuations in protein structures affect the range
of cell phenomena, including stability of protein structures or their
fragments, allosteric transitions and energy transfer. The study presents a
statistical-thermodynamic analysis of relationship between the sequence
composition and the distribution of residue fluctuations in protein-protein
complexes. A one-node-per residue elastic network model accounting for the
nonhomogeneous protein mass distribution and the inter-atomic interactions
through the renormalized inter-residue potential is developed. Two factors, a
protein mass distribution and a residue environment, were found to determine
the scale of residue fluctuations. Surface residues undergo larger fluctuations
than core residues, showing agreement with experimental observations. Ranking
residues over the normalized scale of fluctuations yields a distinct
classification of amino acids into three groups. The structural instability in
proteins possibly relates to the high content of the highly fluctuating
residues and a deficiency of the weakly fluctuating residues in irregular
secondary structure elements (loops), chameleon sequences and disordered
proteins. Strong correlation between residue fluctuations and the sequence
composition of protein loops supports this hypothesis. Comparing fluctuations
of binding site residues (interface residues) with other surface residues shows
that, on average, the interface is more rigid than the rest of the protein
surface and Gly, Ala, Ser, Cys, Leu and Trp have a propensity to form more
stable docking patches on the interface. The findings have broad implications
for understanding mechanisms of protein association and stability of protein
structures.Comment: 8 pages, 4 figure
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Electron beam-induced current imaging with two-angstrom resolution.
An electron microscope's primary beam simultaneously ejects secondary electrons (SEs) from the sample and generates electron beam-induced currents (EBICs) in the sample. Both signals can be captured and digitized to produce images. The off-sample Everhart-Thornley detectors that are common in scanning electron microscopes (SEMs) can detect SEs with low noise and high bandwidth. However, the transimpedance amplifiers appropriate for detecting EBICs do not have such good performance, which makes accessing the benefits of EBIC imaging at high-resolution relatively more challenging. Here we report lattice-resolution imaging via detection of the EBIC produced by SE emission (SEEBIC). We use an aberration-corrected scanning transmission electron microscope (STEM), and image both microfabricated devices and standard calibration grids
Strong Coupling Theory for Interacting Lattice Models
We develop a strong coupling approach for a general lattice problem. We argue
that this strong coupling perspective represents the natural framework for a
generalization of the dynamical mean field theory (DMFT). The main result of
this analysis is twofold: 1) It provides the tools for a unified treatment of
any non-local contribution to the Hamiltonian. Within our scheme, non-local
terms such as hopping terms, spin-spin interactions, or non-local Coulomb
interactions are treated on equal footing. 2) By performing a detailed
strong-coupling analysis of a generalized lattice problem, we establish the
basis for possible clean and systematic extensions beyond DMFT. To this end, we
study the problem using three different perspectives. First, we develop a
generalized expansion around the atomic limit in terms of the coupling
constants for the non-local contributions to the Hamiltonian. By analyzing the
diagrammatics associated with this expansion, we establish the equations for a
generalized dynamical mean-field theory (G-DMFT). Second, we formulate the
theory in terms of a generalized strong coupling version of the Baym-Kadanoff
functional. Third, following Pairault, Senechal, and Tremblay, we present our
scheme in the language of a perturbation theory for canonical fermionic and
bosonic fields and we establish the interpretation of various strong coupling
quantities within a standard perturbative picture.Comment: Revised Version, 17 pages, 5 figure
A model for the phase separation controlled by doping and the internal chemical pressure in different cuprate superconductors
In the framework of a two-band model, we study the phase separation regime of
different kinds of strongly correlated charge carriers as a function of the
energy splitting between the two sets of bands. The narrow (wide) band
simulates the more localized (more delocalized) type of charge carriers. By
assuming that the internal chemical pressure on the CuO layer due to
interlayer mismatch controls the energy splitting between the two sets of
states, the theoretical predictions are able to reproduce the regime of phase
separation at doping higher than 1/8 in the experimental pressure-doping-
phase diagram of cuprates at large microstrain as it appears in overoxygenated
LaCuO.Comment: 8 pages, 5 figures, submitted to Phys. Rev.
Loschmidt echo for a chaotic oscillator
Chaotic dynamics of a nonlinear oscillator is considered in the semiclassical
approximation. The Loschmidt echo is calculated for a time scale which is of
the power law in semiclassical parameter. It is shown that an exponential decay
of the Loschmidt echo is due to a Lyapunov exponent and it has a pure classical
nature.Comment: Submit to PR
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