77 research outputs found
Tunable hybrid surface waves supported by a graphene layer
We study surface waves localized near a surface of a semi-infinite dielectric
medium covered by a layer of graphene in the presence of a strong external
magnetic field. We demonstrate that both TE-TM hybrid surface plasmons can
propagate along the graphene surface. We analyze the effect of the Hall
conductivity on the disper- sion of hybrid surface waves and suggest a
possibility to tune the plasmon dispersion by the magnetic field.Comment: 3 pages, 3 figure
Mid-infrared plasmons in scaled graphene nanostructures
Plasmonics takes advantage of the collective response of electrons to
electromagnetic waves, enabling dramatic scaling of optical devices beyond the
diffraction limit. Here, we demonstrate the mid-infrared (4 to 15 microns)
plasmons in deeply scaled graphene nanostructures down to 50 nm, more than 100
times smaller than the on-resonance light wavelength in free space. We reveal,
for the first time, the crucial damping channels of graphene plasmons via its
intrinsic optical phonons and scattering from the edges. A plasmon lifetime of
20 femto-seconds and smaller is observed, when damping through the emission of
an optical phonon is allowed. Furthermore, the surface polar phonons in SiO2
substrate underneath the graphene nanostructures lead to a significantly
modified plasmon dispersion and damping, in contrast to a non-polar
diamond-like-carbon (DLC) substrate. Much reduced damping is realized when the
plasmon resonance frequencies are close to the polar phonon frequencies. Our
study paves the way for applications of graphene in plasmonic waveguides,
modulators and detectors in an unprecedentedly broad wavelength range from
sub-terahertz to mid-infrared.Comment: submitte
Intrinsic Terahertz Plasmons and Magnetoplasmons in Large Scale Monolayer Graphene
We show that in graphene epitaxially grown on SiC the Drude absorption is
transformed into a strong terahertz plasmonic peak due to natural nanoscale
inhomogeneities, such as substrate terraces and wrinkles. The excitation of the
plasmon modifies dramatically the magneto-optical response and in particular
the Faraday rotation. This makes graphene a unique playground for
plasmon-controlled magneto-optical phenomena thanks to a cyclotron mass 2
orders of magnitude smaller than in conventional plasmonic materials such as
noble metals.Comment: to appear in Nano Letter
Resonant Visible Light Modulation with Graphene
Fast modulation and switching of light at visible and near-infrared (vis-NIR)
frequencies is of utmost importance for optical signal processing and sensing
technologies. No fundamental limit appears to prevent us from designing
wavelength-sized devices capable of controlling the light phase and intensity
at gigaherts (and even terahertz) speeds in those spectral ranges. However,
this problem remains largely unsolved, despite recent advances in the use of
quantum wells and phase-change materials for that purpose. Here, we explore an
alternative solution based upon the remarkable electro-optical properties of
graphene. In particular, we predict unity-order changes in the transmission and
absorption of vis-NIR light produced upon electrical doping of graphene sheets
coupled to realistically engineered optical cavities. The light intensity is
enhanced at the graphene plane, and so is its absorption, which can be switched
and modulated via Pauli blocking through varying the level of doping.
Specifically, we explore dielectric planar cavities operating under either
tunneling or Fabry-Perot resonant transmission conditions, as well as Mie modes
in silicon nanospheres and lattice resonances in metal particle arrays. Our
simulations reveal absolute variations in transmission exceeding 90% as well as
an extinction ratio >15 dB with small insertion losses using feasible material
parameters, thus supporting the application of graphene in fast electro-optics
at vis-NIR frequencies.Comment: 17 pages, 13 figures, 54 reference
Plasmon-phonon coupling in large-area graphene dot and antidot arrays
Nanostructured graphene on SiO2 substrates pave the way for enhanced
light-matter interactions and explorations of strong plasmon-phonon
hybridization in the mid-infrared regime. Unprecedented large-area graphene
nanodot and antidot optical arrays are fabricated by nanosphere lithography,
with structural control down to the sub-100 nanometer regime. The interaction
between graphene plasmon modes and the substrate phonons is experimentally
demonstrated and structural control is used to map out the hybridization of
plasmons and phonons, showing coupling energies of the order 20 meV. Our
findings are further supported by theoretical calculations and numerical
simulations.Comment: 7 pages including 6 figures. Supporting information is available upon
request to author
Optical Excitations and Field Enhancement in Short Graphene Nanoribbons
The optical excitations of elongated graphene nanoflakes of finite length are
investigated theoretically through quantum chemistry semi-empirical approaches.
The spectra and the resulting dipole fields are analyzed, accounting in full
atomistic details for quantum confinement effects, which are crucial in the
nanoscale regime. We find that the optical spectra of these nanostructures are
dominated at low energy by excitations with strong intensity, comprised of
characteristic coherent combinations of a few single-particle transitions with
comparable weight. They give rise to stationary collective oscillations of the
photoexcited carrier density extending throughout the flake, and to a strong
dipole and field enhancement. This behavior is robust with respect to width and
length variations, thus ensuring tunability in a large frequency range. The
implications for nanoantennas and other nanoplasmonic applications are
discussed for realistic geometries
Graphene plasmonics: A platform for strong light-matter interaction
Graphene plasmons provide a suitable alternative to noble-metal plasmons
because they exhibit much larger confinement and relatively long propagation
distances, with the advantage of being highly tunable via electrostatic gating.
We report strong light- matter interaction assisted by graphene plasmons, and
in particular, we predict unprecedented high decay rates of quantum emitters in
the proximity of a carbon sheet, large vacuum Rabi splitting and Purcell
factors, and extinction cross sections exceeding the geometrical area in
graphene ribbons and nanometer-sized disks. Our results provide the basis for
the emerging and potentially far-reaching field of graphene plasmonics,
offering an ideal platform for cavity quantum electrodynamics and supporting
the possibility of single-molecule, single-plasmon devices.Comment: 39 pages, 15 figure
The Shapes of Tight Composite Knots
We present new computations of tight shapes obtained using the constrained
gradient descent code RIDGERUNNER for 544 composite knots with 12 and fewer
crossings, expanding our dataset to 943 knots and links. We use the new data
set to analyze two outstanding conjectures about tight knots, namely that the
ropelengths of composite knots are at least 4\pi-4 less than the sums of the
prime factors and that the writhes of composite knots are the sums of the
writhes of the prime factors.Comment: Summary text file of tight knot lengths and writhing numbers stored
in anc/ropelength_data.txt. All other data freely available at
http:://www.jasoncantarella.com/ and through Data Conservanc
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