687 research outputs found
Investigation of two-frequency Paul traps for antihydrogen production
Radio-frequency (rf) Paul traps operated with multifrequency rf trapping
potentials provide the ability to independently confine charged particle
species with widely different charge-to-mass ratios. In particular, these traps
may find use in the field of antihydrogen recombination, allowing antiproton
and positron clouds to be trapped and confined in the same volume without the
use of large superconducting magnets. We explore the stability regions of
two-frequency Paul traps and perform numerical simulations of small,
multispecies charged-particle mixtures that indicate the promise of these traps
for antihydrogen recombination.Comment: 11 pages, 10 figure
Ab initio Pseudopotential Plane-wave Calculations of the Electronic Structure of YBa_2Cu_3O_7
We present an ab initio pseudopotential local density functional calculation
for stoichiometric high-Tc cuprate YBa_2Cu_3O_7 using the plane-wave basis set.
We have overcome well-known difficulties in applying pseudopotential methods to
first-row elements, transition metals, and rare-earth materials by carefully
generating norm-conserving pseudopotentials with excellent transferability and
employing an extremely efficient iterative diagonalization scheme optimized for
our purpose. The self-consistent band structures, the total and site-projected
densities of states, the partial charges and their symmetry-decompositions, and
some characteristic charge densities near E_f are presented. We compare our
results with various existing (F)LAPW and (F)LMTO calculations and establish
that the ab initio pseudopotential method is competitive with other methods in
studying the electronic structure of such complicated materials as high-Tc
cuprates. [8 postscript files in uuencoded compressed form]Comment: 14 pages, RevTeX v3.0, 8 figures (appended in postscript file), SNUTP
94-8
Cyclic Density Functional Theory : A route to the first principles simulation of bending in nanostructures
We formulate and implement Cyclic Density Functional Theory (Cyclic DFT) -- a
self-consistent first principles simulation method for nanostructures with
cyclic symmetries. Using arguments based on Group Representation Theory, we
rigorously demonstrate that the Kohn-Sham eigenvalue problem for such systems
can be reduced to a fundamental domain (or cyclic unit cell) augmented with
cyclic-Bloch boundary conditions. Analogously, the equations of electrostatics
appearing in Kohn-Sham theory can be reduced to the fundamental domain
augmented with cyclic boundary conditions. By making use of this symmetry cell
reduction, we show that the electronic ground-state energy and the
Hellmann-Feynman forces on the atoms can be calculated using quantities defined
over the fundamental domain. We develop a symmetry-adapted finite-difference
discretization scheme to obtain a fully functional numerical realization of the
proposed approach. We verify that our formulation and implementation of Cyclic
DFT is both accurate and efficient through selected examples.
The connection of cyclic symmetries with uniform bending deformations
provides an elegant route to the ab-initio study of bending in nanostructures
using Cyclic DFT. As a demonstration of this capability, we simulate the
uniform bending of a silicene nanoribbon and obtain its energy-curvature
relationship from first principles. A self-consistent ab-initio simulation of
this nature is unprecedented and well outside the scope of any other systematic
first principles method in existence. Our simulations reveal that the bending
stiffness of the silicene nanoribbon is intermediate between that of graphene
and molybdenum disulphide. We describe several future avenues and applications
of Cyclic DFT, including its extension to the study of non-uniform bending
deformations and its possible use in the study of the nanoscale flexoelectric
effect.Comment: Version 3 of the manuscript, Accepted for publication in Journal of
the Mechanics and Physics of Solids,
http://www.sciencedirect.com/science/article/pii/S002250961630368
A novel multigrid method for electronic structure calculations
A general real-space multigrid algorithm for the self-consistent solution of
the Kohn-Sham equations appearing in the state-of-the-art electronic-structure
calculations is described. The most important part of the method is the
multigrid solver for the Schroedinger equation. Our choice is the Rayleigh
quotient multigrid method (RQMG), which applies directly to the minimization of
the Rayleigh quotient on the finest level. Very coarse correction grids can be
used, because there is no need to be able to represent the states on the coarse
levels. The RQMG method is generalized for the simultaneous solution of all the
states of the system using a penalty functional to keep the states orthogonal.
The performance of the scheme is demonstrated by applying it in a few molecular
and solid-state systems described by non-local norm-conserving
pseudopotentials.Comment: 9 pages, 3 figure
Modes of Oscillation in Radiofrequency Paul Traps
We examine the time-dependent dynamics of ion crystals in radiofrequency
traps. The problem of stable trapping of general three-dimensional crystals is
considered and the validity of the pseudopotential approximation is discussed.
We derive analytically the micromotion amplitude of the ions, rigorously
proving well-known experimental observations. We use a method of infinite
determinants to find the modes which diagonalize the linearized time-dependent
dynamical problem. This allows obtaining explicitly the ('Floquet-Lyapunov')
transformation to coordinates of decoupled linear oscillators. We demonstrate
the utility of the method by analyzing the modes of a small `peculiar' crystal
in a linear Paul trap. The calculations can be readily generalized to
multispecies ion crystals in general multipole traps, and time-dependent
quantum wavefunctions of ion oscillations in such traps can be obtained.Comment: 24 pages, 3 figures, v2 adds citations and small correction
Non-Abelian Fractional Chern Insulators from Long-Range Interactions
The recent theoretical discovery of fractional Chern insulators (FCIs) has
provided an important new way to realize topologically ordered states in
lattice models. In earlier works, on-site and nearest neighbor Hubbard-like
interactions have been used extensively to stabilize Abelian FCIs in systems
with nearly flat, topologically nontrivial bands. However, attempts to use
two-body interactions to stabilize non-Abelian FCIs, where the ground state in
the presence of impurities can be massively degenerate and manipulated through
anyon braiding, have proven very difficult in uniform lattice systems. Here, we
study the remarkable effect of long-range interactions in a lattice model that
possesses an exactly flat lowest band with a unit Chern number. When spinless
bosons with two-body long-range interactions partially fill the lowest Chern
band, we find convincing evidence of gapped, bosonic Read-Rezayi (RR) phases
with non-Abelian anyon statistics. We characterize these states through
studying topological degeneracies, the overlap between the ground states of
two-body interactions and the exact RR ground states of three- and four-body
interactions, and state counting in the particle-cut entanglement spectrum.
Moreover, we demonstrate how an approximate lattice form of Haldane's
pseudopotentials, analogous to that in the continuum, can be used as an
efficient guiding principle in the search for lattice models with stable
non-Abelian phases.Comment: 12 pages, 7 figures. As publishe
Topological Flat Band Models and Fractional Chern Insulators
Topological insulators and their intriguing edge states can be understood in
a single-particle picture and can as such be exhaustively classified.
Interactions significantly complicate this picture and can lead to entirely new
insulating phases, with an altogether much richer and less explored
phenomenology. Most saliently, lattice generalizations of fractional quantum
Hall states, dubbed fractional Chern insulators, have recently been predicted
to be stabilized by interactions within nearly dispersionless bands with
non-zero Chern number, . Contrary to their continuum analogues, these states
do not require an external magnetic field and may potentially persist even at
room temperature, which make these systems very attractive for possible
applications such as topological quantum computation. This review recapitulates
the basics of tight-binding models hosting nearly flat bands with non-trivial
topology, , and summarizes the present understanding of interactions
and strongly correlated phases within these bands. Emphasis is made on
microscopic models, highlighting the analogy with continuum Landau level
physics, as well as qualitatively new, lattice specific, aspects including
Berry curvature fluctuations, competing instabilities as well as novel
collective states of matter emerging in bands with . Possible
experimental realizations, including oxide interfaces and cold atom
implementations as well as generalizations to flat bands characterized by other
topological invariants are also discussed.Comment: Invited review. 46 pages, many illustrations and references. V2:
final version with minor improvements and added reference
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