107 research outputs found
Regulation of neuronal excitability by opioid peptides: intracellular analysis in several brain areas
Reconstruction of thermally-symmetrized quantum autocorrelation functions from imaginary-time data
In this paper, I propose a technique for recovering quantum dynamical
information from imaginary-time data via the resolution of a one-dimensional
Hamburger moment problem. It is shown that the quantum autocorrelation
functions are uniquely determined by and can be reconstructed from their
sequence of derivatives at origin. A general class of reconstruction algorithms
is then identified, according to Theorem 3. The technique is advocated as
especially effective for a certain class of quantum problems in continuum
space, for which only a few moments are necessary. For such problems, it is
argued that the derivatives at origin can be evaluated by Monte Carlo
simulations via estimators of finite variances in the limit of an infinite
number of path variables. Finally, a maximum entropy inversion algorithm for
the Hamburger moment problem is utilized to compute the quantum rate of
reaction for a one-dimensional symmetric Eckart barrier.Comment: 15 pages, no figures, to appear in Phys. Rev.
Ground-State Dynamical Correlation Functions: An Approach from Density Matrix Renormalization Group Method
A numerical approach to ground-state dynamical correlation functions from
Density Matrix Renormalization Group (DMRG) is developed. Using sum rules,
moments of a dynamic correlation function can be calculated with DMRG, and with
the moments the dynamic correlation function can be obtained by the maximum
entropy method. We apply this method to one-dimensional spinless fermion
system, which can be converted to the spin 1/2 Heisenberg model in a special
case. The dynamical density-density correlation function is obtained.Comment: 11 pages, latex, 4 figure
Self-consistency over the charge-density in dynamical mean-field theory: a linear muffin-tin implementation and some physical implications
We present a simple implementation of the dynamical mean-field theory
approach to the electronic structure of strongly correlated materials. This
implementation achieves full self-consistency over the charge density, taking
into account correlation-induced changes to the total charge density and
effective Kohn-Sham Hamiltonian. A linear muffin-tin orbital basis-set is used,
and the charge density is computed from moments of the many body
momentum-distribution matrix. The calculation of the total energy is also
considered, with a proper treatment of high-frequency tails of the Green's
function and self-energy. The method is illustrated on two materials with
well-localized 4f electrons, insulating cerium sesquioxide Ce2O3 and the
gamma-phase of metallic cerium, using the Hubbard-I approximation to the
dynamical mean-field self-energy. The momentum-integrated spectral function and
momentum-resolved dispersion of the Hubbard bands are calculated, as well as
the volume-dependence of the total energy. We show that full self-consistency
over the charge density, taking into account its modification by strong
correlations, can be important for the computation of both thermodynamical and
spectral properties, particularly in the case of the oxide material.Comment: 20 pages, 6 figures (submitted in The Physical Review B
Dynamics of the spin-half Heisenberg chain at intermediate temperatures
Combining high-temperature expansions with the recursion method and quantum
Monte Carlo simulations with the maximum entropy method, we study the dynamics
of the spin-1/2 Heisenberg chain at temperatures above and below the coupling
J. By comparing the two sets of calculations, their relative strengths are
assessed. At high temperatures, we find that there is a low-frequency peak in
the momentum integrated dynamic structure factor, due to diffusive
long-wavelength modes. This peak is rapidly suppressed as the temperature is
lowered below J. Calculation of the complete dynamic structure factor S(k,w)
shows how the spectral features associated with the two-spinon continuum
develop at low temperatures. We extract the nuclear spin-lattice relaxation
rate 1/T1 from the w-->0 limit, and compare with recent experimental results
for Sr2CuO3 and CuGeO3. We also discuss the scaling behavior of the dynamic
susceptibility, and of the static structure factor S(k) and the static
susceptibility X(k). We confirm the asymptotic low-temperature forms
S(pi)~[ln(T)]^(3/2) and X(pi)~T^(-1)[ln(T)]^(1/2), expected from previous
theoretical studies.Comment: 15 pages, Revtex, 14 PostScript figures. 2 new figures and related
discussion of the recursion method at finite temperature adde
Regulation of neuronal excitability by opioid peptides: intracellular analysis in several brain areas
Dynamical Properties of a Haldane Gap Antiferromagnet
We study the dynamic spin correlation function of a spin one
antiferromagnetic chain with easy-plane single-ion anisotropy. We use exact
diagonalization by the Lancz\H os method for chains of lengths up to N=16
spins. We show that a single-mode approximation is an excellent description of
the dynamical properties. A variational calculation allows us to clarify the
nature of the excitations. The existence of a two-particle continuum near zero
wavevector is clearly seen both in finite-size effects and in the dynamical
structure factor. The recent neutron scattering experiments on the
quasi-one-dimensional antiferromagnet NENP are fully explained by our results.Comment: 14 pages, SphT/92-135 plain tex with Postscript figures included.
Postscipt file available by anonymous ftp at amoco.saclay.cea.fr by get
pubs.spht/92-135.ps local_file (290 kb) or get pubs.spht/92-135.ps.Z
local_file.Z (compressed - 120 kb
Dynamic image potential at an Al(111) surface
We evaluate the electronic self-energy Sigma(E) at an Al(111) surface using the GW space-time method. This self-energy automatically includes the image potential V-im not present in any local-density approximation for exchange and correlation. We solve the energy-dependent quasiparticle equations and calculate the effective local potential experienced by electrons in the near-surface region. The relative contribution of exchange proves to be very different for states above the Fermi level. The image-plane position for interacting electrons is closer to the surface than for the purely electrostatic effects felt by test charges, and, like its classical counterpart, is drawn inwards by the effects of atomic structure
On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
We consider the problem of the crossover from BCS superconductivity to
Bose-Einstein condensation in three dimensions for a system of fermions with an
attractive interaction, for which we adopt the simplifying assumption of a
suitably regularized point-contact interaction. We examine in a critical way
the fermionic (self-consistent) T-matrix approximation which has been widely
utilized in the literature to describe this crossover above the superconducting
critical temperature, and show that it fails to yield the correct behaviour of
the system in the strong-coupling limit, where composite bosons form as tightly
bound fermion pairs. We then set up the correct approximation for a ``dilute''
system of composite bosons and show that an entire new class of diagrams has to
be considered in the place of the fermionic T-matrix approximation for the
self-energy. This new class of diagrams correctly describes both the weak- and
strong-coupling limits, and consequently results into an improved interpolation
scheme for the intermediate (crossover) region. In this context, we provide
also a systematic mapping between the corresponding diagrammatic theories for
the composite bosons and the constituent fermions. As a preliminary result to
demonstrate the numerical effect of our new class of diagrams on physical
quantities, we calculate the value of the scattering length for composite
bosons in the strong-coupling limit and show that it is considerably modified
with respect to the result obtained within the self-consistent fermionic
T-matrix approximation.Comment: 25 pages, 14 figures included in pape
Insulator-Metal Transition in the One and Two-Dimensional Hubbard Models
We use Quantum Monte Carlo methods to determine Green functions,
, on lattices up to for the 2D Hubbard model
at . For chemical potentials, , within the Hubbard gap, , and at {\it long} distances, , with critical behavior: , . This result stands in agreement with the
assumption of hyperscaling with correlation exponent and dynamical
exponent . In contrast, the generic band insulator as well as the
metal-insulator transition in the 1D Hubbard model are characterized by and .Comment: 9 pages (latex) and 5 postscript figures. Submitted for publication
in Phys. Rev. Let
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