3,366 research outputs found
Stability of the shell structure in 2D quantum dots
We study the effects of external impurities on the shell structure in
semiconductor quantum dots by using a fast response-function method for solving
the Kohn-Sham equations. We perform statistics of the addition energies up to
20 interacting electrons. The results show that the shell structure is
generally preserved even if effects of high disorder are clear. The Coulomb
interaction and the variation in ground-state spins have a strong effect on the
addition-energy distributions, which in the noninteracting single-electron
picture correspond to level statistics showing mixtures of Poisson and Wigner
forms.Comment: 7 pages, 8 figures, submitted to Phys. Rev.
An efficient method for the Quantum Monte Carlo evaluation of the static density-response function of a many-electron system
In a recent Letter we introduced Hellmann-Feynman operator sampling in
diffusion Monte Carlo calculations. Here we derive, by evaluating the second
derivative of the total energy, an efficient method for the calculation of the
static density-response function of a many-electron system. Our analysis of the
effect of the nodes suggests that correlation is described correctly and we
find that the effect of the nodes can be dealt with
Comment on "Diffusion Monte Carlo study of jellium surfaces: Electronic densities and pair correlation functions"
In a fixed-node diffusion Monte Carlo calculation of the total energy of
jellium slabs, Acioli and Ceperley [Phys. Rev. B {\bf 54}, 17199 (1996)]
reported jellium surface energies that at low electron densities were
significantly higher than those predicted in the local-density approximation
(LDA) of density-functional theory. Assuming that the fixed-node error in the
slab and the bulk calculations cancel out, we show that their data yield
surface energies that are considerably closer to the LDA and in reasonable
agreement with those obtained in the random-phase approximation.Comment: 3 pages, 2 figures, to appear in Phys. Rev.
Isospin and density dependences of nuclear matter symmetry energy coefficients II
Symmetry energy coefficients of explicitly isospin asymmetric nuclear matter
at variable densities (from .5 up to 2 ) are studied as
generalized screening functions. An extended stability condition for asymmetric
nuclear matter is proposed. We find the possibility of obtaining stable
asymmetric nuclear matter even in some cases for which the symmetric nuclear
matter limit is unstable. Skyrme-type forces are extensively used in analytical
expressions of the symmetry energy coefficients derived as generalized
screening functions in the four channels of the particle hole interaction
producing alternative behaviors at different and (respectively the
density and the asymmetry coefficient). The spin and spin-isospin coefficients,
with corrections to the usual Landau Migdal parameters, indicate the
possibility of occurring instabilities with common features depending on the
nuclear density and n-p asymmetry. Possible relevance for high energy heavy
ions collisions and astrophysical objects is discussed.Comment: 16 pages (latex) plus twelve figures in four eps files, to be
published in I.J.M.P.
Electron-Acoustic Phonon Energy Loss Rate in Multi-Component Electron Systems with Symmetric and Asymmetric Coupling Constants
We consider electron-phonon (\textit{e-ph}) energy loss rate in 3D and 2D
multi-component electron systems in semiconductors. We allow general asymmetry
in the \textit{e-ph} coupling constants (matrix elements), i.e., we allow that
the coupling depends on the electron sub-system index. We derive a
multi-component \textit{e-ph}power loss formula, which takes into account the
asymmetric coupling and links the total \textit{e-ph} energy loss rate to the
density response matrix of the total electron system. We write the density
response matrix within mean field approximation, which leads to coexistence of\
symmetric energy loss rate and asymmetric energy loss rate
with total energy loss rate at temperature
. The symmetric component F_{S}(T) F_{S}(T)\propto T^{n_{S}}n_{S}F_{A}(T). Screening strongly
reduces the symmetric coupling, but the asymmetric coupling is unscreened,
provided that the inter-sub-system Coulomb interactions are strong. The lack of
screening enhances and the total energy loss rate .
Especially, in the strong screening limit we find . A
canonical example of strongly asymmetric \textit{e-ph} matrix elements is the
deformation potential coupling in many-valley semiconductors.Comment: v2: Typos corrected. Some notations changed. Section III.C is
embedded in Section III.B. Paper accepted to PR
Electric-field correlations in quantum charged fluids coupled to the radiation field
In a recent paper [S.El Boustani, P.R.Buenzli, and Ph.A.Martin, Phys.Rev. E
73, 036113 (2006) cond-mat/0511537], about quantum charges in equilibrium with
radiation, among other things the asymptotic form of the electric-field
correlation has been obtained by a microscopic calculation. It has been found
that this correlation has a long-range algebraic decay (except in the classical
limit). The macroscopic approach, in the Course of Theoretical Physics of
Landau and Lifshitz, gives no such long-range algebraic decay. In this Brief
Report, we revisit and complete the macroscopic approach of Landau and
Lifshitz, we confirm their result, and suggest that, perhaps, the use of a
classical electromagnetic field by El Boustani et al. was not justified.Comment: 10 pages. Title changed. Minor modifications, including a better
justification of eq.(8
Dynamic spin response of a strongly interacting Fermi gas
We present an experimental investigation of the dynamic spin response of a
strongly interacting Fermi gas using Bragg spectroscopy. By varying the
detuning of the Bragg lasers, we show that it is possible to measure the
response in the spin and density channels separately. At low Bragg energies,
the spin response is suppressed due to pairing, whereas the density response is
enhanced. These experiments provide the first independent measurements of the
spin-parallel and spin-antiparallel dynamic and static structure factors and
open the way to a complete study of the structure factors at any momentum. At
high momentum the spin-antiparallel dynamic structure factor displays a
universal high frequency tail, proportional to , where is the probe energy.Comment: Replaced with final versio
Mesoscopic Transport: The Electron-Gas Sum Rules in a Driven Quantum Point Contact
The nature of the electron gas is characterized, above all, by its
multi-particle correlations. The conserving sum rules for the electron gas have
been thoroughly studied for many years, and their centrality to the physics of
metallic conduction is widely understood (at least in the many-body community).
We review the role of the conserving sum rules in mesoscopic transport, as
normative criteria for assessing the conserving status of mesoscopic models. In
themselves, the sum rules are specific enough to rule out any such theory if it
fails to respect the conservation laws. Of greater interest is the capacity of
the compressibility sum rule, in particular, to reveal unexpected fluctuation
effects in nonuniform mesoscopic structures.Comment: TeX, 11pp, no fi
Wavevector analysis of the jellium exchange-correlation surface energy in the random-phase approximation: detailed support for nonempirical density functionals
We report the first three-dimensional wavevector analysis of the jellium
exchange-correlation (xc) surface energy in the random-phase approximation
(RPA). The RPA accurately describes long-range xc effects which are challenging
for semi-local approximations, since it includes the universal small-wavevector
behavior derived by Langreth and Perdew. We use these rigorous RPA calculations
for jellium slabs to test RPA versions of nonempirical semi-local
density-functional approximations for the xc energy. The local spin density
approximation (LSDA) displays cancelling errors in the small and intermediate
wavevector regions. The PBE GGA improves the analysis for intermediate
wavevectors, but remains too low for small wavevectors (implying too-low
jellium xc surface energies). The nonempirical meta-generalized gradient
approximation of Tao, Perdew, Staroverov, and Scuseria (TPSS meta-GGA) gives a
realistic wavevector analysis, even for small wavevectors or long-range
effects. We also study the effects of slab thickness and of short-range
corrections to RPA.Comment: 7 pages, 7 figures, to appear in Phys. Rev.
Zero temperature optical conductivity of ultra-clean Fermi liquids and superconductors
We calculate the low-frequency optical conductivity sigma(w) of clean metals
and superconductors at zero temperature neglecting the effects of impurities
and phonons. In general, the frequency and temperature dependences of sigma
have very little in common. For small Fermi surfaces in three dimensions (but
not in 2D) we find for example that Re sigma(w>0)=const. for low w which
corresponds to a scattering rate Gamma proportional to w^2 even in the absence
of Umklapp scattering when there is no T^2 contribution to Gamma. In the main
part of the paper we discuss in detail the optical conductivity of d-wave
superconductors in 2D where Re sigma(w>0) \propto w^4 for the smallest
frequencies and the Umklapp processes typically set in smoothly above a finite
threshold w_0 smaller than twice the maximal gap Delta. In cases where the
nodes are located at (pi/2, pi/2), such that direct Umklapp scattering among
them is possible, one obtains Re sigma(w) \propto w^2.Comment: 7 pages, 3 figure
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