2,610 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
Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
The nested off-diagonal Bethe ansatz is generalized to study the quantum spin
chain associated with the R-matrix and generic integrable
non-diagonal boundary conditions. By using the fusion technique, certain closed
operator identities among the fused transfer matrices at the inhomogeneous
points are derived. The corresponding asymptotic behaviors of the transfer
matrices and their values at some special points are given in detail. Based on
the functional analysis, a nested inhomogeneous T-Q relations and Bethe ansatz
equations of the system are obtained. These results can be naturally
generalized to cases related to the algebra.Comment: published version, 27 pages, 1 table, 1 figur
A representation basis for the quantum integrable spin chain associated with the su(3) algebra
An orthogonal basis of the Hilbert space for the quantum spin chain
associated with the su(3) algebra is introduced. Such kind of basis could be
treated as a nested generalization of separation of variables (SoV) basis for
high-rank quantum integrable models. It is found that all the monodromy-matrix
elements acting on a basis vector take simple forms. With the help of the
basis, we construct eigenstates of the su(3) inhomogeneous spin torus (the
trigonometric su(3) spin chain with antiperiodic boundary condition) from its
spectrum obtained via the off-diagonal Bethe Ansatz (ODBA). Based on small
sites (i.e. N=2) check, it is conjectured that the homogeneous limit of the
eigenstates exists, which gives rise to the corresponding eigenstates of the
homogenous model.Comment: 24 pages, no figure, published versio
A convenient basis for the Izergin-Korepin model
We propose a convenient orthogonal basis of the Hilbert space for the
Izergin-Korepin model (or the quantum spin chain associated with the
algebra). It is shown that the monodromy-matrix elements acting
on the basis take relatively simple forms (c.f. acting on the original basis ),
which is quite similar as that in the so-called F-basis for the quantum spin
chains associated with -type (super)algebras. As an application, we present
the recursive expressions of Bethe states in the basis for the Izergin-Korepin
model.Comment: 24 pages, no figure
Symmetry, spin-texture, and tunable quantum geometry in a WTe monolayer
The spin orientation of electronic wavefunctions in crystals is an internal
degree of freedom, typically insensitive to electrical knobs. We argue from a
general symmetry analysis and a perspective, that
monolayer 1T'-WTe possesses a gate-activated canted spin texture that
produces an electrically tunable bulk band quantum geometry. In particular, we
find that due to its out-of-plane asymmetry, an applied out-of-plane electric
field breaks inversion symmetry to induce both in-plane and out-of-plane
electric dipoles. These in-turn generate spin-orbit coupling to lift the spin
degeneracy and enable a bulk band Berry curvature and magnetic moment
distribution to develop. Further, due to its low symmetry, Berry curvature and
magnetic moment in 1T'-WTe possess a dipolar distribution in momentum
space, and can lead to unconventional effects such as a current induced
magnetization and quantum non-linear anomalous Hall effect. These render
1T'-WTe a rich two-dimensional platform for all-electrical control over
quantum geometric effects
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