239 research outputs found
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-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.
Deconfinement in the Two Dimensional XY Model
The unbinding of vortex-antivortex pairs for the classical two-dimensional XY
model in a magnetic field is studied. A single such pair is connected by a
string of overturned spins, leading to linear confinement. We show that this
system supports two phase transitions, one in which closed strings proliferate,
and a second in which vortices unbind. The transitions are shown to be dual to
one another, and are remarkably continuous. Possible consequences for a variety
of systems are discussed.Comment: 4 pages, 3 figures. Typos corrected, small but important change in
intro. Accepted for publication in Physical Review Letter
Pokrovsky-Talapov Model at finite temperature: a renormalization-group analysis
We calculate the finite-temperature shift of the critical wavevector
of the Pokrovsky-Talapov model using a renormalization-group analysis.
Separating the Hamiltonian into a part that is renormalized and one that is
not, we obtain the flow equations for the stiffness and an arbitrary potential.
We then specialize to the case of a cosine potential, and compare our results
to well-known results for the sine-Gordon model, to which our model reduces in
the limit of vanishing driving wavevector Q=0. Our results may be applied to
describe the commensurate-incommensurate phase transition in several physical
systems and allow for a more realistic comparison with experiments, which are
always carried out at a finite temperature
On the c-axis optical reflectivity of layered cuprate superconductors
Using a conventional BCS -- Fermi liquid model we calculate the c-axis
optical reflectivity of the layered high temperature cuprate superconductors by
obtaining the finite temperature dynamical dielectric function in a microscopic
self-consistent gauge invariant formalism. We get good semi-quantitative
agreement with all the existing experimental data by using the measured normal
state resistivities as the input parameters in obtaining the c-axis
hopping amplitude and the normal state level broadening in our microscopic
calculation.Comment: 10 pages, 6 figures, 1 table gzipped tar fil
H_c_3 for a thin-film superconductor with a ferromagnetic dot
We investigate the effect of a ferromagnetic dot on a thin-film
superconductor. We use a real-space method to solve the linearized
Ginzburg-Landau equation in order to find the upper critical field, H_c_3. We
show that H_c_3 is crucially dependent on dot composition and geometry, and may
be significantly greater than H_c_2. H_c_3 is maximally enhanced when (1) the
dot saturation magnetization is large, (2) the ratio of dot thickness to dot
diameter is of order one, and (3) the dot thickness is large
Multiconfiguration electron density function for the ATSP2K-package
A new ATSP2K module is presented for evaluating the electron density function
of any multiconfiguration Hartree-Fock or configuration interaction wave
function in the non relativistic or relativistic Breit-Pauli approximation. It
is first stressed that the density function is not a priori spherically
symmetric in the general open shell case. Ways of building it as a spherical
symmetric function are discussed, from which the radial electron density
function emerges. This function is written in second quantized coupled
tensorial form for exploring the atomic spherical symmetry. The calculation of
its expectation value is performed using the angular momentum theory in
orbital, spin, and quasispin spaces, adopting a generalized graphical
technique. The natural orbitals are evaluated from the diagonalization of the
density matrix
Localization Properties of the Chalker-Coddington Model
The Chalker Coddington quantum network percolation model is numerically
pertinent to the understanding of the delocalization transition of the quantum
Hall effect. We study the model restricted to a cylinder of perimeter 2M. We
prove firstly that the Lyapunov exponents are simple and in particular that the
localization length is finite; secondly that this implies spectral
localization. Thirdly we prove a Thouless formula and compute the mean Lyapunov
exponent which is independent of M.Comment: 29 pages, 1 figure. New section added in which simplicity of the
Lyapunov spectrum and finiteness of the localization length are proven. To
appear in Annales Henri Poincar
Skyrmions and edge spin excitations in quantum Hall droplets
We present an analysis of spin-textures in Quantum Hall droplets, for filling
factors . Analytical wavefunctions with well defined quantum
numbers are given for the low-lying states of the system which result to be
either bulk skyrmions or edge spin excitations. We compute dispersion relations
and study how skyrmions become ground states of the Quantum Hall droplet at
. A Hartree-Fock approximation is recovered and discussed for
those spin textures.Comment: RevTeX, four postscript figures appende
Spontaneous coherence and the quantum Hall Effect in triple-layer electron systems
We investigate spontaneous interlayer phase coherence and the occurrence of
the quantum Hall effect in triple-layer electron systems. Our work is based on
a simple tight-binding model that greatly facilitates calculations and whose
accuracy is verified by comparison with recent experiments. By calculating the
ground state in an unrestricted Hartree-Fock approximation and the
collective-mode spectrum in a time-dependent Hartree-Fock approximation, we
construct a phase diagram delimiting regions in the parameter space of the
model where the integer quantum Hall effect occurs in the absence of interlayer
tunneling.Comment: To appear in Phys. Rev. B, 20 pages, 5 PostScript figures uuencoded
with TeX fil
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