612 research outputs found
Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
At Landau level filling factors near nu =1, quantum Hall ferromagnets form a
Skyrme crystal state with quasi-long-range translational and non-collinear
magnetic order. We develop an effective low energy theory which explains the
presence in these systems of magnetic excitations at low energies below the
Larmor gap (Delta) and which predicts a dramatic enhancement of the nuclear
spin relaxation rate by a factor of 1000. The effective theory predicts a rich
set of quantum and classical phase transitions. Based in part on accurate
time-dependent Hartree-Fock calculations of the ordered state collective
excitation spectrum, we discuss aspects of the T-nu-Delta crystal phase
diagram.Comment: 4 pages REVTEX file and 3 postscript figure
Collective Modes of Quantum Hall Stripes
The collective modes of striped phases in a quantum Hall system are computed
using the time-dependent Hartree-Fock approximation. Uniform stripe phases are
shown to be unstable to the formation of modulations along the stripes, so that
within the Hartree-Fock approximation the groundstate is a stripe crystal. Such
crystalline states are generically gapped at any finite wavevector; however, in
the quantum Hall system the interactions of modulations among different stripes
is found to be remarkably weak, leading to an infinite collection of collective
modes with immeasurably small gaps. The resulting long wavelength behavior is
derivable from an elastic theory for smectic liquid crystals. Collective modes
for the phonon branch are computed throughout the Brillouin zone, as are spin
wave and magnetoplasmon modes. A soft mode in the phonon spectrum is identified
for partial filling factors sufficiently far from 1/2, indicating a second
order phase transition. The modes contain several other signatures that should
be experimentally observable.Comment: 36 pages LaTex with 11 postscript figures. Short animations of the
collective modes can be found at
http://www.physique.usherb.ca/~rcote/stripes/stripes.ht
Superconducting Plasma Excitation at Microwave Frequencies in Parallel Magnetic Fields in
Josephson plasma resonance has been studied in a wide microwave frequency
range between 10 and 52 GHz in a magnetic field parallel to the -plane in
under-doped \BI. Above about 30 GHz two resonance modes were observed: one
(LT mode) appears at low temperatures and another (HT mode) at higher
temperatures, leaving a temperature gap between two regions. These two
resonance modes exhibit a sharp contrast each other both on temperture and
magnetic field dependences and show distinct characters different entirely from
the c-axis Josephson plasma resonance. From temperature and field scan
experiments at various frequencies it is suggested that the LT mode can be
attributed to the coupled Josephson plasma mode with Josephson vortices, while
the HT mode is a new plasma mode associated possibly with the periodic array of
Josephson vortices.Comment: submitted to Physica C (Prceedings of Plasma2000, Sendai
Electron-Electron Interactions and the Hall-Insulator
Using the Kubo formula, we show explicitly that a non-interacting electron
system can not behave like a Hall-insulator, {\it ie.,} a DC resistivity matrix
and finite in the zero temperature
limit, as has been observed recently in experiment. For a strongly interacting
electron system in a magnetic field, we illustrate, by constructing a specific
form of correlations between mobile and localized electrons, that the Hall
resistivity can approximately equal to its classical value. A Hall-insulator is
realized in this model when the density of mobile electrons becomes vanishingly
small. It is shown that in non-interacting electron systems, the
zero-temperature frequency-dependent conductacnce generally does not give the
DC conductance.Comment: 11 pages, RevTeX3.
Spin Bottlenecks in the Quantum Hall Regim
We present a theory of time-dependent tunneling between a metal and a
partially spin-polarized two-dimensional electron system (2DES). We find that
the leakage current which flows to screen an electric field between the metal
and the 2DES is the sum of two exponential contributions whose relative weights
depend on spin-dependent tunneling conductances, on quantum corrections to the
electrostatic capacitance of the tunnel junction, and on the rate at which the
2DES spin-polarization approaches equilibrium. For high-mobility and
homogeneous 2DES's at Landau level filling factor , we predict a ratio
of the fast and slow leakage rates equal to where is the number
of reversed spins in the skyrmionic elementary charged excitations.Comment: 4 pages, 3 figures, submitted to Phys. Rev. Let
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
Shape Deformation driven Structural Transitions in Quantum Hall Skyrmions
The Quantum Hall ground state away from can be described by a
collection of interacting skyrmions. We show within the context of a nonlinear
sigma model, that the classical ground state away from is a skyrmion
crystal with a generalized N\'eel order. We show that as a function of filling
, the skyrmion crystal undergoes a triangle to square to triangle
transition at zero temperature. We argue that this structural transition,
driven by a change in the shape of the individual skyrmions, is stable to
thermal and quantum fluctuations and may be probed experimentally.Comment: 4 pages (REVTEX) and 4 .eps figure
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
Ratchet-Like Solitonic Transport in Quantum Hall Bilayers
The pseudo-spin model for double layer quantum Hall system with total landau
level filling factor is discussed. Unlike the "traditional" one where
interlayer voltage enters as static magnetic field along pseudo- spin hard
axis, in our model we consider applied interlayer voltage as a frequency of
precessing pseudo-magnetic field lying into the easy plane. It is shown that a
Landau-Lifshitz equation for the considered pseudo magnetic system well
describes existing experimental data. Besides that, the mentioned model
predicts novel directed intra-layer transport phenomenon in the system:
unidirectional intra-layer energy transport is realized due to interlayer
voltage induced motion of topological kinks. This effect could be observed
experimentally detecting counter-propagating intra-layer inhomogeneous charge
currents which are proportional to the interlayer voltage and total topological
charge of the pseudo-spin system.Comment: 4 pages, 4 figure
- …