26 research outputs found
Coulomb interactions of massless Dirac fermions in graphene; pair-distribution functions and exchange-driven spin-polarized phases
The quasi-2D electrons in graphene behave as massless fermions obeying a
Dirac-Weyl equation in the low-energy regime near the two Fermi points. The
stability of spin-polarized phases (SPP) in graphene is considered. The
exchange energy is evaluated from the analytic pair-distribution functions, and
the correlation energies are estimated via a closely similar four-component 2D
electron fluid which has been investigated previously. SPPs appear for
sufficiently high doping, when the exchange energy alone is considered.
However, the inclusion of correlations is found to {\it suppress} the
spin-phase transition in ideal graphene.Comment: 5 pages, 3 figures, Revte
The Classical-Map Hyper-Netted-Chain (CHNC) technique for inhomogeneous electron systems. Application to quantum dots
The Classical-map Hyper-Netted-Chain (CHNC) technique is a simple method of
calculating quantum pair-distribution functions, spin-dependent energies, etc.,
of strongly-interacting {\it uniform} systems. We present CHNC calculations of
charge densities and energies of {\it non-uniform} systems, viz., quantum dots,
and compare with quantum Monte Carlo and density -functional results. Results
for up to 210 electrons are reported.Comment: Latex manuscript and one figure (colour online). New calculations
extending to 210 electrons are include
Magnetism and structure at a vacancy in graphene
The electronic structure, bonding and magnetism in graphene containing
vacancies are studied using density-functional methods. The single-vacancy
graphene ground state is spin polarized and structurally flat. The unpolarized
state is non planar only for finite segments. Systems containing periodic
arrays of vacancies displays magnetic transitions and metal-insulator
transitions.Comment: 4 pages, four figure
The Equation of State and the Hugoniot of Laser Shock-Compressed Deuterium
The equation of state and the shock Hugoniot of deuterium are calculated
using a first-principles approach, for the conditions of the recent shock
experiments. We use density functional theory within a classical mapping of the
quantum fluids [ Phys. Rev. Letters, {\bf 84}, 959 (2000) ]. The calculated
Hugoniot is close to the Path-Integral Monte Carlo (PIMC) result. We also
consider the {\it quasi-equilibrium} two-temperature case where the Deuterons
are hotter than the electrons; the resulting quasi-equilibrium Hugoniot mimics
the laser-shock data. The increased compressibility arises from hot
pairs occuring close to the zero of the electron chemical potential.Comment: Four pages; One Revtex manuscript, two postscipt figures; submitted
to PR
Local environment of Nitrogen in GaN{y}As{1-y} epilayers on GaAs (001) studied using X-ray absorption near edge spectroscopy
X-ray absorption near-edge spectroscopy (XANES) is used to study the N
environment in bulk GaN and in GaN{y}As{1-y} epilayers on GaAs (001), for y
\~5%. Density-functional optimized structures were used to predict XANES via
multiple-scattering theory. We obtain striking agreement for pure GaN. An alloy
model with nitrogen pairs on Ga accurately predicts the threshold energy, the
width of the XANES ``white line'', and features above threshold, for the given
X-ray polarization. The presence of N-pairs may point to a role for molecular
N_2 in epitaxial growth kinetics.Comment: Four pages (PRL style) with two figure
Saturation of dephasing time in mesoscopic devices produced by a ferromagnetic state
We consider an exchange model of itinerant electrons in a Heisenberg
ferromagnet and we assume that the ferromagnet is in a fully polarized state.
Using the Holstein-Primakoff transformation we are able to obtain a
boson-fermion Hamiltonian that is well-known in the interaction between light
and matter. This model describes the spontaneous emission in two-level atoms
that is the proper decoherence mechanism when the number of modes of the
radiation field is taken increasingly large, the vacuum acting as a reservoir.
In the same way one can see that the interaction between the bosonic modes of
spin waves and an itinerant electron produces decoherence by spin flipping with
a rate proportional to the size of the system. In this way we are able to show
that the experiments on quantum dots, described in D. K. Ferry et al. [Phys.
Rev. Lett. {\bf 82}, 4687 (1999)], and nanowires, described in D. Natelson et
al. [Phys. Rev. Lett. {\bf 86}, 1821 (2001)], can be understood as the
interaction of itinerant electrons and an electron gas in a fully polarized
state.Comment: 10 pages, no figure. Changed title. Revised version accepted for
publication in Physical Review
Spin magnetization of strongly correlated electron gas confined in a two-dimensional finite lattice
The influence of disorder and interaction on the ground state polarization of
the two-dimensional (2D) correlated electron gas is studied by numerical
investigations of unrestricted Hartree-Fock equations. The ferromagnetic ground
state is found to be plausible when the electron number is lowered and the
interaction and disorder parameters are suitably chosen. For a finite system at
constant electronic density the disorder induced spin polarization is cut off
when the electron orbitals become strongly localized to the individual network
sites. The fluctuations of the interaction matrix elements are calculated and
brought out as favoring the ferromagnetic instability in the extended and weak
localization regime. The localization effect of the Hubbard interaction term is
discussed.Comment: 7 pages, 9 figure
Probing Ion-Ion and Electron-Ion Correlations in Liquid Metals within the Quantum Hypernetted Chain Approximation
We use the Quantum Hypernetted Chain Approximation (QHNC) to calculate the
ion-ion and electron-ion correlations for liquid metallic Li, Be, Na, Mg, Al,
K, Ca, and Ga. We discuss trends in electron-ion structure factors and radial
distribution functions, and also calculate the free-atom and metallic-atom
form-factors, focusing on how bonding effects affect the interpretation of
X-ray scattering experiments, especially experimental measurements of the
ion-ion structure factor in the liquid metallic phase.Comment: RevTeX, 19 pages, 7 figure
Determination of the pair potential and the ion-electron pseudopotential for aluminum from experimental structure-factor data for liquid aluminum
A method of inverting a given structure factor [S(k)]expt of a liquid metal using a hypernetted-chain equation containing bridge-diagram contributions is presented. Starting from parametrized local pseudopotential and a parametrized model local field (or a theoretical local field), a pair potential is constructed. The S(k) calculated from it is fitted to the given [S(k)]expt. The method is first applied to a molecular-dynamics-generated S(k) derived from an ab initio aluminum potential and shown to yield the pair potential, the pseudopotential, and the charge density in excellent quantitative agreement with the original ab initio potential and other quantities. The method is then applied to the experimental S(k) of aluminum from x-ray data at 943 K. The Al-Al pair potential, Al-electron pseudopotential, and electron charge densities as well as the electron-gas response function (i.e., the model local field) are obtained self-consistently, to within the accuracy of the experimental data. The calculated electrical resistivity is in excellent agreement with experiment. These investigations provide a comparative examination of the electron-gas local fields of Geldart-Taylor, Vashishta-Singwi, Ichimaru-Utsumi, and the density-functional local-density approximation. The hard-sphere parameter defining the bridge term is found to be essentially the same for the different ion-ion potentials determined from all but one of the different local fields, thus supporting the "universality" hypothesis of Rosenfeld and Ashcroft.Peer reviewed: YesNRC publication: Ye