504 research outputs found
Theory of Phonon Shakeup Effects on Photoluminescence from the Wigner Crystal in a Strong Magnetic Field
We develop a method to compute shakeup effects on photoluminescence from a
strong magnetic field induced two-dimensional Wigner crystal. Only localized
holes are considered. Our method treats the lattice electrons and the tunneling
electron on an equal footing, and uses a quantum-mechanical calculation of the
collective modes that does not depend in any way on a harmonic approximation.
We find that shakeup produces a series of sidebands that may be identified with
maxima in the collective mode density of states, and definitively distinguishes
the crystal state from a liquid state in the absence of electron-hole
interaction. In the presence of electron-hole interaction, sidebands also
appear in the liquid state coming from short-range density fluctuations around
the hole. However, the sidebands in the liquid state and the crystal state have
different qualitative behaviors. We also find a shift in the main luminescence
peak, that is associated with lattice relaxation in the vicinity of a vacancy.
The relationship of the shakeup spectrum with previous mean-field calculations
is discussed.Comment: 14 pages, uuencoded postscript file for entire paper, also available
at (click phd14) http://rainbow.uchicago.edu/~ldz/paper/paper.htm
Diluted Graphene Antiferromagnet
We study RKKY interactions between local magnetic moments for both doped and
undoped graphene. We find in both cases that the interactions are primarily
ferromagnetic for moments on the same sublattice, and antiferromagnetic for
moments on opposite sublattices. This suggests that at sufficiently low
temperatures dilute magnetic moments embedded in graphene can order into a
state analogous to that of a dilute antiferromagnet. We find that in the
undoped case one expects no net magnetic moment, and demonstrate numerically
that this effect generalizes to ribbons where the magnetic response is
strongest at the edge, suggesting the possibility of an unusual spin-transfer
device. For doped graphene we find that moments at definite lattice sites
interact over longer distances than those placed in interstitial sites of the
lattice ( vs. ) because the former support a Kohn anomaly that is
suppressed in the latter due to the absence of backscattering.Comment: 5 pages, two figures include
Strongly inhibited transport of a 1D Bose gas in a lattice
We report the observation of strongly damped dipole oscillations of a quantum
degenerate 1D atomic Bose gas in a combined harmonic and optical lattice
potential. Damping is significant for very shallow axial lattices (0.25 photon
recoil energies), and increases dramatically with increasing lattice depth,
such that the gas becomes nearly immobile for times an order of magnitude
longer than the single-particle tunneling time. Surprisingly, we see no
broadening of the atomic quasimomentum distribution after damped motion. Recent
theoretical work suggests that quantum fluctuations can strongly damp dipole
oscillations of 1D atomic Bose gas, providing a possible explanation for our
observations.Comment: 5 pages, 4 figure
Local density of states of electron-crystal phases in graphene in the quantum Hall regime
We calculate, within a self-consistent Hartree-Fock approximation, the local
density of states for different electron crystals in graphene subject to a
strong magnetic field. We investigate both the Wigner crystal and bubble
crystals with M_e electrons per lattice site. The total density of states
consists of several pronounced peaks, the number of which in the negative
energy range coincides with the number of electrons M_e per lattice site, as
for the case of electron-solid phases in the conventional two-dimensional
electron gas. Analyzing the local density of states at the peak energies, we
find particular scaling properties of the density patterns if one fixes the
ratio nu_N/M_e between the filling factor nu_N of the last partially filled
Landau level and the number of electrons per bubble. Although the total density
profile depends explicitly on M_e, the local density of states of the lowest
peaks turns out to be identical regardless the number of electrons M_e. Whereas
these electron-solid phases are reminiscent to those expected in the
conventional two-dimensional electron gas in GaAs heterostructures in the
quantum Hall regime, the local density of states and the scaling relations we
highlight in this paper may be, in graphene, directly measured by spectroscopic
means, such as e.g. scanning tunneling microscopy.Comment: 8 pages, 7 figures; minor correction
Electron Temperature of Ultracold Plasmas
We study the evolution of ultracold plasmas by measuring the electron
temperature. Shortly after plasma formation, competition between heating and
cooling mechanisms drives the electron temperature to a value within a narrow
range regardless of the initial energy imparted to the electrons. In agreement
with theory predictions, plasmas exhibit values of the Coulomb coupling
parameter less than 1.Comment: 4 pages, plus four figure
Signature of Quantum Hall Effect Skyrmions in Tunneling: A Theoretical Study
We present a theoretical study of the tunneling characteristic between
two parallel two-dimensional electron gases in a perpendicular magnetic field
when both are near filling factor . Finite-size calculations of the
single-layer spectral functions in the spherical geometry and analytical
expressions for the disk geometry in the thermodynamic limit show that the
current in the presence of skyrmions reflects in a direct way their underlying
structure. It is also shown that fingerprints of the electron-electron
interaction pseudopotentials are present in such a current.Comment: 4 pages, 1 figur
Statistics of skyrmions in Quantum Hall systems
We analyze statistical interactions of skyrmions in the quantum Hall system
near a critical filling fraction in the framework of the Ginzburg-Landau model.
The phase picked up by the wave-function during an exchange of two skyrmions
close to is , where is the skyrmion's
spin. In the same setting an exchange of two fully polarized vortices gives
rise to the phase . Skyrmions with odd and even numbers of reversed
spins have different quantum statistics. Condensation of skyrmions with an even
number of reversed spins leads to filling fractions with odd denominators,
while condensation of those with an odd number of reversed spins gives rise to
filling fractions with even denominators.Comment: 6 pages in Latex. addendum - skyrmions with odd or even number of
reversed spins have different quantum statistics. They condense to form
respectively even or odd denominator filling fraction state
Collective Modes of Soliton-Lattice States in Double-Quantum-Well Systems
In strong perpendicular magnetic fields double-quantum-well systems can
sometimes occur in unusual broken symmetry states which have interwell phase
coherence in the absence of interwell hopping. When hopping is present in such
systems and the magnetic field is tilted away from the normal to the quantum
well planes, a related soliton-lattice state can occur which has kinks in the
dependence of the relative phase between electrons in opposite layers on the
coordinate perpendicular to the in-plane component of the magnetic field. In
this article we evaluate the collective modes of this soliton-lattice state in
the generalized random-phase aproximation. We find that, in addition to the
Goldstone modes associated with the broken translational symmetry of the
soliton-lattice state, higher energy collective modes occur which are closely
related to the Goldstone modes present in the spontaneously phase-coherent
state. We study the evolution of these collective modes as a function of the
strength of the in-plane magnetic field and comment on the possibility of using
the in-plane field to generate a finite wave probe of the spontaneously
phase-coherent state.Comment: REVTEX, 37 pages (text) and 15 uuencoded postscript figure
Dynamical matrix of two-dimensional electron crystals
In a quantizing magnetic field, the two-dimensional electron (2DEG) gas has a
rich phase diagram with broken translational symmetry phases such as Wigner,
bubble, and stripe crystals. In this paper, we derive a method to get the
dynamical matrix of these crystals from a calculation of the density response
function performed in the Generalized Random Phase Approximation (GRPA). We
discuss the validity of our method by comparing the dynamical matrix calculated
from the GRPA with that obtained from standard elasticity theory with the
elastic coefficients obtained from a calculation of the deformation energy of
the crystal.Comment: Revised version published in Phys. Rev. B. 12 pages with 11
postscripts figure
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