373 research outputs found
B\'enard-von K\'arm\'an vortex street in an exciton-polariton superfluid
The dynamics of an exciton--polariton superfluid resonantly injected into a
semiconductor microcavity are investigated numerically. The results reveal that
a B\'enard--von K\'arm\'an vortex street is generated in the wake behind an
obstacle potential, in addition to the generation of quantized vortex dipoles
and dark solitons. The vortex street is shown to be robust against a disorder
potential in a sample and it can be observed even in time-integrated
measurements.Comment: 4 pages, 3 figure
Pattern formation without heating in an evaporative convection experiment
We present an evaporation experiment in a single fluid layer. When latent
heat associated to the evaporation is large enough, the heat flow through the
free surface of the layer generates temperature gradients that can destabilize
the conductive motionless state giving rise to convective cellular structures
without any external heating. The sequence of convective patterns obtained here
without heating, is similar to that obtained in B\'enard-Marangoni convection.
This work present the sequence of spatial bifurcations as a function of the
layer depth. The transition between square to hexagonal pattern, known from
non-evaporative experiments, is obtained here with a similar change in
wavelength.Comment: Submitted to Europhysics Letter
Multiplicity of non-acyclic -representations and L-functions of twisted Whitehead links
We consider a natural divisor on -character
varieties of knots and links, given by the so-called acyclic Reidemeister
torsion. We provide a geometric interpretation of this divisor. We focus on the
particular family of odd twisted Whitehead links, where we show that this
divisor has multiplicity two. Moreover, we apply these results to the study of
the -functions of the universal deformations of representations over finite
fields of twisted Whitehead links.Comment: Comments welcom
Apparatus for real-time acoustic imaging of Rayleigh-Benard convection
We have designed and built an apparatus for real-time acoustic imaging of
convective flow patterns in optically opaque fluids. This apparatus takes
advantage of recent advances in two-dimensional ultrasound transducer array
technology; it employs a modified version of a commercially available
ultrasound camera, similar to those employed in non-destructive testing of
solids. Images of convection patterns are generated by observing the lateral
variation of the temperature dependent speed of sound via refraction of
acoustic plane waves passing vertically through the fluid layer. The apparatus
has been validated by observing convection rolls in both silicone oil and
ferrofluid.Comment: 20 pages, 11 figures, submitted to the Review of Scientific
Instrument
Influence of next-nearest-neighbor electron hopping on the static and dynamical properties of the 2D Hubbard model
Comparing experimental data for high temperature cuprate superconductors with
numerical results for electronic models, it is becoming apparent that a hopping
along the plaquette diagonals has to be included to obtain a quantitative
agreement. According to recent estimations the value of the diagonal hopping
appears to be material dependent. However, the values for discussed
in the literature were obtained comparing theoretical results in the weak
coupling limit with experimental photoemission data and band structure
calculations. The goal of this paper is to study how gets renormalized as
the interaction between electrons, , increases. For this purpose, the effect
of adding a bare diagonal hopping to the fully interacting two dimensional
Hubbard model Hamiltonian is investigated using numerical techniques. Positive
and negative values of are analyzed. Spin-spin correlations, ,
vs , and local magnetic moments are studied for values
of ranging from 0 to 6, and as a function of the electronic density. The
influence of the diagonal hopping in the spectral function
is also discussed, and the changes in the gap present in the density of states
at half-filling are studied. We introduce a new criterion to determine probable
locations of Fermi surfaces at zero temperature from data obtained
at finite temperature. It appears that hole pockets at
may be induced for negative while a positive produces similar
features at and . Comparisons with the standard 2D
Hubbard () model indicate that a negative hopping amplitude appears
to be dynamically generated. In general, we conclude that it is very dangerous
to extract a bare parameter of the Hamiltonian from PES data whereComment: 9 pages (RevTex 3.0), 12 figures (postscript), files packed with
uufile
Rayleigh-B\'{e}nard convection in a homeotropically aligned nematic liquid crystal
We report experimental results for convection near onset in a thin layer of a
homeotropically aligned nematic liquid crystal heated from below as a function
of the temperature difference and the applied vertical magnetic
field and compare them with theoretical calculations. The experiments cover
the field range 8 \alt h \equiv H/ H_{F} \alt 80 ( is the
Fr\'eedericksz field). For less than a codimension-two field the bifurcation is subcritical and oscillatory, with travelling- and
standing-wave transients. Beyond the bifurcation is stationary and
subcritical until a tricritical field is reached, beyond which it
is supercritical. The bifurcation sequence as a function of found in the
experiment confirms the qualitative aspects of the theoretical predictions.
However, the value of is about 10% higher than the predicted value and
the results for are systematically below the theory by about 2% at small
and by as much as 7% near . At , is continuous within
the experimental resolution whereas the theory indicates a 7% discontinuity.
The theoretical tricritical field is somewhat below the
experimental one. The fully developed flow above for is
chaotic. For the subcritical stationary bifurcation also
leads to a chaotic state. The chaotic states persist upon reducing the Rayleigh
number below , i.e. the bifurcation is hysteretic. Above the tricritical
field , we find a bifurcation to a time independent pattern which within
our resolution is non-hysteretic.Comment: 15 pages incl. 23 eps figure
Stability of the doped antiferromagnetic state of the t-t'-Hubbard model
The next-nearest-neighbour hopping term t' is shown to stabilize the AF state
of the doped Hubbard model with respect to transverse perturbations in the
order- parameter by strongly suppressing the intraband particle-hole processes.
For a fixed sign of t', this stabilization is found to be significantly
different for electron and hole doping, which qualitatively explains the
observed difference in the degree of robustness of the AF state in the
electron-doped (Nd_{2-x}Ce_{x}CuO_{4}) and hole-doped (La_{2-x}Sr_{x}CuO_{4})
cuprates. The t'-U phase diagram is obtained for both signs of the t' term,
showing the different regions of stability and instability of the doped
antiferromagnet. Doping is shown to suppress the t'-induced frustration due to
the competing interaction J'. A study of transverse spin fluctuations in the
metallic AF state reveals that the decay of magnons into particle-hole
excitations yields an interesting low-energy result \Gamma \sim \omega for
magnon damping.Comment: 10 pages, 8 figure
New magnetic coherence effect in superconducting La_{2-x}Sr_{x}CuO_{4}
We have used inelastic neutron scattering to examine the magnetic
fluctuations at intermediate frequencies in the simplest high temperature
superconductor, La_{2-x}Sr_{x}Cu_{4}. The suppression of the low energy
magnetic response in the superconducting state is accompanied by an increase in
the response at higher energies. Just above a threshold energy of ~7 meV there
is additional scattering present below T_{c} which is characterised by an
extraordinarily long coherence length, in excess of 50 \AA.Comment: 11 pages, RevTeX, 4 postscript figure
Spin-wave spectrum in La2CuO4 -- double occupancy and competing interaction effects
The recently observed spin-wave energy dispersion along the AF zone boundary
in La2CuO4 is discussed in terms of double occupancy and competing interaction
effects in the Hubbard model on a square lattice.Comment: 4 pages, 2 figure
A link between the spin fluctuation and Fermi surface in high T_C cuprates --- A consistent description within the single-band Hubbard model
A link between the spin fluctuation and the "fermiology" is explored for the
single-band Hubbard model within the fluctuation exchange (FLEX) approximation.
We show that the experimentally observed peak position of the spin structure in
the high T_C cuprates can be understood from the model that reproduces the
experimentally observed Fermi surface. In particular, both the variation of the
incommensurability of the peak in the spin structure and the evolution of the
Fermi surface with hole doping in La_{2-x}Sr_xCuO_4 may be understood with a
second nearest neighbor hopping decreasing with hole doping.Comment: 5 pages, RevTeX, uses epsf.sty and multicol.st
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