4,026 research outputs found
Raman spectroscopy on etched graphene nanoribbons
We investigate etched single-layer graphene nanoribbons with different widths
ranging from 30 to 130 nm by confocal Raman spectroscopy. We show that the
D-line intensity only depends on the edge-region of the nanoribbon and that
consequently the fabrication process does not introduce bulk defects. In
contrast, the G- and the 2D-lines scale linearly with the irradiated area and
therefore with the width of the ribbons. We further give indications that the
D- to G-line ratio can be used to gain information about the crystallographic
orientation of the underlying graphene. Finally, we perform polarization angle
dependent measurements to analyze the nanoribbon edge-regions
Optically probing symmetry breaking in the chiral magnet Cu2OSeO3
We report on the linear optical properties of the chiral magnet Cu2OSeO3,
specifically associated with the absence of inversion symmetry, the chiral
crystallographic structure, and magnetic order. Through spectroscopic
ellipsometry, we observe local crystal-field excitations below the
charge-transfer gap. These crystal-field excitations are optically allowed due
to the lack of inversion symmetry at the Cu sites. Optical polarization
rotation measurements were used to study the structural chirality and magnetic
order. The temperature dependence of the natural optical rotation, originating
in the chiral crystal structure, provides evidence for a finite
magneto-electric effect in the helimagnetic phase. We find a large
magneto-optical susceptibility on the order of V(540nm)~10^4 rad/(T*m) in the
helimagnetic phase and a maximum Faraday rotation of ~165deg/mm in the
ferrimagnetic phase. The large value of V can be explained by considering spin
cluster formation and the relative ease of domain reorientation in this
metamagnetic material. The magneto-optical activity allows us to map the
magnetic phase diagram, including the skyrmion lattice phase. In addition to
this, we probe and discuss the nature of the various magnetic phase transitions
in Cu2OSeO3.Comment: 9 pages, 10 figure
Optimal Filling of Shapes
We present filling as a type of spatial subdivision problem similar to
covering and packing. Filling addresses the optimal placement of overlapping
objects lying entirely inside an arbitrary shape so as to cover the most
interior volume. In n-dimensional space, if the objects are polydisperse
n-balls, we show that solutions correspond to sets of maximal n-balls. For
polygons, we provide a heuristic for finding solutions of maximal discs. We
consider the properties of ideal distributions of N discs as N approaches
infinity. We note an analogy with energy landscapes.Comment: 5 page
How to add a boundary condition
Given a conformal QFT local net of von Neumann algebras B_2 on the
two-dimensional Minkowski spacetime with irreducible subnet A\otimes\A, where A
is a completely rational net on the left/right light-ray, we show how to
consistently add a boundary to B_2: we provide a procedure to construct a
Boundary CFT net B of von Neumann algebras on the half-plane x>0, associated
with A, and locally isomorphic to B_2. All such locally isomorphic Boundary CFT
nets arise in this way. There are only finitely many locally isomorphic
Boundary CFT nets and we get them all together. In essence, we show how to
directly redefine the C* representation of the restriction of B_2 to the
half-plane by means of subfactors and local conformal nets of von Neumann
algebras on S^1.Comment: 20 page
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