12,211 research outputs found
Side-jumps in the spin-Hall effect: construction of the Boltzmann collision integral
We present a systematic derivation of the side-jump contribution to the
spin-Hall current in systems without band structure spin-orbit interactions,
focusing on the construction of the collision integral for the Boltzmann
equation. Starting from the quantum Liouville equation for the density operator
we derive an equation describing the dynamics of the density matrix in the
first Born approximation and to first order in the driving electric field.
Elastic scattering requires conservation of the total energy, including the
spin-orbit interaction energy with the electric field: this results in a first
correction to the customary collision integral found in the Born approximation.
A second correction is due to the change in the carrier position during
collisions. It stems from the part of the density matrix off-diagonal in wave
vector. The two corrections to the collision integral add up and are
responsible for the total side-jump contribution to the spin-Hall current. The
spin-orbit-induced correction to the velocity operator also contains terms
diagonal and off-diagonal in momentum space, which together involve the total
force acting on the system. This force is explicitly shown to vanish (on the
average) in the steady state: thus the total contribution to the spin-Hall
current due to the additional terms in the velocity operator is zero.Comment: Added references, expanded discussion, revised introductio
Spin relaxation in an InAs quantum dot in the presence of terahertz driving fields
The spin relaxation in a 1D InAs quantum dot with the Rashba spin-orbit
coupling under driving THz magnetic fields is investigated by developing the
kinetic equation with the help of the Floquet-Markov theory, which is
generalized to the system with the spin-orbit coupling, to include both the
strong driving field and the electron-phonon scattering. The spin relaxation
time can be effectively prolonged or shortened by the terahertz magnetic field
depending on the frequency and strength of the terahertz magnetic field. The
effect can be understood as the sideband-modulated spin-phonon scattering. This
offers an additional way to manipulate the spin relaxation time.Comment: 8 pages, 1 figure, to be published in PR
Data-driven PDE discovery with evolutionary approach
The data-driven models allow one to define the model structure in cases when
a priori information is not sufficient to build other types of models. The
possible way to obtain physical interpretation is the data-driven differential
equation discovery techniques. The existing methods of PDE (partial derivative
equations) discovery are bound with the sparse regression. However, sparse
regression is restricting the resulting model form, since the terms for PDE are
defined before regression. The evolutionary approach described in the article
has a symbolic regression as the background instead and thus has fewer
restrictions on the PDE form. The evolutionary method of PDE discovery (EPDE)
is described and tested on several canonical PDEs. The question of robustness
is examined on a noised data example
Anomalous Rashba spin splitting in two-dimensional hole systems
It has long been assumed that the inversion asymmetry-induced Rashba spin
splitting in two-dimensional (2D) systems at zero magnetic field is
proportional to the electric field that characterizes the inversion asymmetry
of the confining potential. Here we demonstrate, both theoretically and
experimentally, that 2D heavy hole systems in accumulation layer-like single
heterostructures show the opposite behavior, i.e., a decreasing, but nonzero
electric field results in an increasing Rashba coefficient.Comment: 4 pages, 3 figure
Direct Measurement of Neutron-Star Recoil in the Oxygen-Rich Supernova Remnant Puppis A
A sequence of three Chandra X-ray Observatory High Resolution Camera images
taken over a span of five years reveals arc-second-scale displacement of RX
J0822-4300, the stellar remnant (presumably a neutron star) near the center of
the Puppis A supernova remnant. We measure its proper motion to be
0.165+/-0.025 arcsec/yr toward the west-southwest. At a distance of 2 kpc, this
corresponds to a transverse space velocity of ~1600 km/s. The space velocity is
consistent with the explosion center inferred from proper motions of the
oxygen-rich optical filaments, and confirms the idea that Puppis A resulted
from an asymmetric explosion accompanied by a kick that imparted roughly
3*10^49 ergs of kinetic energy (some 3 percent of the kinetic energy for a
typical supernova) to the stellar remnant. We discuss constraints on
core-collapse supernova models that have been proposed to explain neutron star
kick velocities
Structure and diffusion in amorphous aluminium silicate: A molecular dynamics computer simulation
The amorphous aluminium silicate (Al2O3)2(SiO2) [AS2] is investigated by
means of large scale molecular dynamics computer simulations. We consider fully
equilibrated melts in the temperature range 6100K >= T >= 2300K as well as
glass configurations that were obtained from cooling runs from T=2300K to 300K
with a cooling rate of about 10^12K/s. Already at temperatures as high as
4000K, most of the Al and Si atoms are four-fold coordinated by oxygen atoms.
Thus, the structure of AS2 is that of a disordered tetrahedral network. The
packing of AlO4 tetrahedra is very different from that of SiO4 tetrahedra in
that Al is involved with a relatively high probability in small-membered rings
and in triclusters in which an O atom is surrounded by four cations. We find as
typical configurations two-membered rings with two Al atoms in which the shared
O atoms form a tricluster. On larger length scales, the system shows a
microphase separation in which the Al-rich network structure percolates through
the SiO2 network. The latter structure gives rise to a prepeak in the static
structure factor at a wavenumber q=0.5\AA^{-1}. The comparison of experimental
X-ray data with the results from the simulation shows a good agreement for the
structure function. The diffusion dynamics in AS2 is found to be much faster
than in SiO2. We show that the self-diffusion constants for O and Al are very
similar and that they are by a factor of 2-3 larger than the one for Si.Comment: 30 pages of Latex, 13 figure
Lande-like formula for the g factors of hole-nanowire subband edges
We have analyzed theoretically the Zeeman splitting of hole-quantum-wire
subband edges. As is typical for any bound state, their g factor depends on
both an intrinsic g factor of the material and an additional contribution
arising from a finite bound-state orbital angular momentum. We discuss the
quantum-confinement-induced interplay between bulk-material and orbital
effects, which is nontrivial due to the presence of strong spin-orbit coupling.
A compact analytical formula is provided that elucidates this interplay and can
be useful for predicting Zeeman splitting in generic hole-wire geometries.Comment: 4 pages, 2 figure
The Effect of Spin Splitting on the Metallic Behavior of a Two-Dimensional System
Experiments on a constant-density two-dimensional hole system in a GaAs
quantum well reveal that the metallic behavior observed in the
zero-magnetic-field temperature dependence of the resistivity depends on the
symmetry of the confinement potential and the resulting spin-splitting of the
valence band
Anomalous magneto-oscillations in two-dimensional systems
The frequencies of Shubnikov-de Haas oscillations have long been used to
measure the unequal population of spin-split two-dimensional subbands in
inversion asymmetric systems. We report self-consistent numerical calculations
and experimental results which indicate that these oscillations are not simply
related to the zero-magnetic-field spin-subband densities.Comment: 4 pages, 3 figures; changed content (clarifications
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