37,478 research outputs found
Effect of wing pivot location on longitudinal aerodynamic characteristics of a variable sweep wing having an M planform
Wing pivot location effect on longitudinal aerodynamic characteristics of variable sweep wing having M planfor
Range Separated Brueckner Coupled Cluster Doubles Theory
We introduce a range-separation approximation to coupled cluster doubles
(CCD) theory that successfully overcomes limitations of regular CCD when
applied to the uniform electron gas. We combine the short-range ladder channel
with the long-range ring channel in the presence of a Bruckner renormalized
one-body interaction and obtain ground-state energies with an accuracy of 0.001
a.u./electron across a wide range of density regimes. Our scheme is
particularly useful in the low-density and strongly-correlated regimes, where
regular CCD has serious drawbacks. Moreover, we cure the infamous
overcorrelation of approaches based on ring diagrams (i.e. the particle-hole
random phase approximation). Our energies are further shown to have appropriate
basis set and thermodynamic limit convergence, and overall this scheme promises
energetic properties for realistic periodic and extended systems which existing
methods do not possess.Comment: 5 pages, 3 figs. Now with supplementary info. Comments welcome:
[email protected]
High-Frequency Microstrip Cross Resonators for Circular Polarization EPR Spectroscopy
In this article we discuss the design and implementation of a novel
microstrip resonator which allows for the absolute control of the microwaves
polarization degree for frequencies up to 30 GHz. The sensor is composed of two
half-wavelength microstrip line resonators, designed to match the 50 Ohms
impedance of the lines on a high dielectric constant GaAs substrate. The line
resonators cross each other perpendicularly through their centers, forming a
cross. Microstrip feed lines are coupled through small gaps to three arms of
the cross to connect the resonator to the excitation ports. The control of the
relative magnitude and phase between the two microwave stimuli at the input
ports of each line allows for tuning the degree and type of polarization of the
microwave excitation at the center of the cross resonator. The third (output)
port is used to measure the transmitted signal, which is crucial to work at low
temperatures, where reflections along lengthy coaxial lines mask the signal
reflected by the resonator. EPR spectra recorded at low temperature in an S=
5/2 molecular magnet system show that 82%-fidelity circular polarization of the
microwaves is achieved over the central area of the resonator.Comment: Published in Review of Scientific Instrument
Fabrication of Nano-Gapped Single-Electron Transistors for Transport Studies of Individual Single-Molecule Magnets
Three terminal single-electron transistor devices utilizing Al/Al2O3 gate
electrodes were developed for the study of electron transport through
individual single-molecule magnets. The devices were patterned via multiple
layers of optical and electron beam lithography. Electromigration induced
breaking of the nanowires reliably produces 1-3 nm gaps between which the SMM
can be situated. Conductance through a single Mn12(3-thiophenecarboxylate)
displays the coulomb blockade effect with several excitations within +/- 40
meV.Comment: 10 pages, 5 figure
Particle-particle and quasiparticle random phase approximations: Connections to coupled cluster theory
We establish a formal connection between the particle-particle (pp) random
phase approximation (RPA) and the ladder channel of the coupled cluster doubles
(CCD) equations. The relationship between RPA and CCD is best understood within
a Bogoliubov quasiparticle (qp) RPA formalism. This work is a follow-up to our
previous formal proof on the connection between particle-hole (ph) RPA and
ring-CCD. Whereas RPA is a quasibosonic approximation, CC theory is a correct
bosonization in the sense that the wavefunction and Hilbert space are exactly
fermionic. Coupled cluster theory achieves this goal by interacting the ph
(ring) and pp (ladder) diagrams via a third channel that we here call
"crossed-ring" whose presence allows for full fermionic antisymmetry.
Additionally, coupled cluster incorporates what we call "mosaic" terms which
can be absorbed into defining a new effective one-body Hamiltonian. The
inclusion of these mosaic terms seems to be quite important. The pp-RPA an d
qp-RPA equations are textbook material in nuclear structure physics but are
largely unknown in quantum chemistry, where particle number fluctuations and
Bogoliubov determinants are rarely used. We believe that the ideas and
connections discussed in this paper may help design improved ways of
incorporating RPA correlation into density functionals based on a CC
perspective
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