13 research outputs found
Anomalous Electron Trajectory in Topological Insulators
We present a general theory about electron orbital motions in topological
insulators. An in-plane electric field drives spin-up and spin-down electrons
bending to opposite directions, and skipping orbital motions, a counterpart of
the integer quantum Hall effect, are formed near the boundary of the sample.
The accompanying Zitterbewegung can be found and controlled by tuning external
electric fields. Ultrafast flipping electron spin leads to a quantum side jump
in the topological insulator, and a snake-orbit motion in two-dimensional
electron gas with spin-orbit interactions. This feature provides a way to
control electron orbital motion by manipulating electron spin.Comment: 5 pages and 4 figures for the letter, 6 pagers for the online
supplemental materia
Mode Selection in the Spontaneous Motion of an Alcohol Droplet
An alcohol (pentanol) droplet exhibits spontaneous agitation on an aqueous
solution, driven by a solutal Marangoni effect. We found that the droplet's
mode of motion is controlled by its volume. A droplet with a volume of less
than shows irregular translational motion, whereas
intermediate-sized droplets of show vectorial motion. When
the volume is above , the droplet splits into smaller drops.
These experimental results regarding mode selection are interpreted in terms of
the wave number selection depending on the droplet volume.Comment: 4 pages, 5 figure
Amoebas of complex hypersurfaces in statistical thermodynamics
The amoeba of a complex hypersurface is its image under a logarithmic
projection. A number of properties of algebraic hypersurface amoebas are
carried over to the case of transcendental hypersurfaces. We demonstrate the
potential that amoebas can bring into statistical physics by considering the
problem of energy distribution in a quantum thermodynamic ensemble. The
spectrum of the ensemble is assumed to be
multidimensional; this leads us to the notions of a multidimensional
temperature and a vector of differential thermodynamic forms. Strictly
speaking, in the paper we develop the multidimensional Darwin and Fowler method
and give the description of the domain of admissible average values of energy
for which the thermodynamic limit exists.Comment: 18 pages, 5 figure