5,544 research outputs found
3D quantum Hall effect of Fermi arcs in topological semimetals
The quantum Hall effect is usually observed in 2D systems. We show that the
Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological
semimetals. Because of the topological constraint, the Fermi arc at a single
surface has an open Fermi surface, which cannot host the quantum Hall effect.
Via a "wormhole" tunneling assisted by the Weyl nodes, the Fermi arcs at
opposite surfaces can form a complete Fermi loop and support the quantum Hall
effect. The edge states of the Fermi arcs show a unique 3D distribution, giving
an example of (d-2)-dimensional boundary states. This is distinctly different
from the surface-state quantum Hall effect from a single surface of topological
insulator. As the Fermi energy sweeps through the Weyl nodes, the sheet Hall
conductivity evolves from the 1/B dependence to quantized plateaus at the Weyl
nodes. This behavior can be realized by tuning gate voltages in a slab of
topological semimetal, such as the TaAs family, CdAs, or NaBi. This
work will be instructive not only for searching transport signatures of the
Fermi arcs but also for exploring novel electron gases in other topological
phases of matter.Comment: 5 pages, 3 figure
Anomalous Phase Shift of Quantum Oscillations in 3D Topological Semimetals
Berry phase physics is closely related to a number of topological states of
matter. Recently discovered topological semimetals are believed to host a
nontrivial Berry phase to induce a phase shift of in the
quantum oscillation ( for hole and for electron carriers). We
theoretically study the Shubnikov-de Haas oscillation of Weyl and Dirac
semimetals, taking into account their topological nature and inter-Landau band
scattering. For a Weyl semimetal with broken time-reversal symmetry, the phase
shift is found to change nonmonotonically and go beyond known values of and . For a Dirac semimetal or paramagnetic Weyl semimetal,
time-reversal symmetry leads to a discrete phase shift of or , as a function of the Fermi energy. Different from the previous works, we
find that the topological band inversion can lead to beating patterns in the
absence of Zeeman splitting. We also find the resistivity peaks should be
assigned integers in the Landau index plot. Our findings may account for recent
experiments in CdAs and should be helpful for exploring the Berry phase
in various 3D systems.Comment: 5 pages, 3 figures, with Supplemental Materia
Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
Within the framework of QCD factorization (QCDF), we consider two different
types of power correction effects in order to resolve the CP puzzles and rate
deficit problems with penguin-dominated two-body decays of B mesons and
color-suppressed tree-dominated and modes: penguin
annihilation and soft corrections to the color-suppressed tree amplitude. We
emphasize that the electroweak penguin solution to the CP puzzle
via New Physics is irrelevant for solving the CP and rate puzzles related to
tree-dominated decays. While some channels e.g.
need penguin annihilation to
induce the correct magnitudes and signs for their CP violation, some other
decays such as and require the presence of both power corrections to
account for the measured CP asymmetries. In general, QCDF predictions for the
branching fractions and direct CP asymmetries of decays
are in good agreement with experiment. The predictions of pQCD and
soft-collinear effective theory are included for comparison.Comment: 51 pages, 1 figur
Controlled Unitary Operation between Two Distant Atoms
We propose a scheme for implementing a controlled unitary gate between two
distant atoms directly communicating through a quantum transmission line. To
achieve our goal, only a series of several coherent pulses are applied to the
atoms. Our scheme thus requires no ancilla atomic qubit. The simplicity of our
scheme may significantly improve the scalability of quantum computers based on
trapped neutral atoms or ions
Collective Almost Synchronization in Complex Networks
This work introduces the phenomenon of Collective Almost Synchronization
(CAS), which describes a universal way of how patterns can appear in complex
networks even for small coupling strengths. The CAS phenomenon appears due to
the existence of an approximately constant local mean field and is
characterized by having nodes with trajectories evolving around periodic stable
orbits. Common notion based on statistical knowledge would lead one to
interpret the appearance of a local constant mean field as a consequence of the
fact that the behavior of each node is not correlated to the behaviors of the
others. Contrary to this common notion, we show that various well known weaker
forms of synchronization (almost, time-lag, phase synchronization, and
generalized synchronization) appear as a result of the onset of an almost
constant local mean field. If the memory is formed in a brain by minimising the
coupling strength among neurons and maximising the number of possible patterns,
then the CAS phenomenon is a plausible explanation for it.Comment: 3 figure
Level Crossings in Complex Two-Dimensional Potentials
Two-dimensional PT-symmetric quantum-mechanical systems with the complex
cubic potential V_{12}=x^2+y^2+igxy^2 and the complex Henon-Heiles potential
V_{HH}=x^2+y^2+ig(xy^2-x^3/3) are investigated. Using numerical and
perturbative methods, energy spectra are obtained to high levels. Although both
potentials respect the PT symmetry, the complex energy eigenvalues appear when
level crossing happens between same parity eigenstates.Comment: 9 pages, 4 figures. Submitted as a conference proceeding of PHHQP
Exchange effects on electron scattering through a quantum dot embedded in a two-dimensional semiconductor structure
We have developed a theoretical method to study scattering processes of an
incident electron through an N-electron quantum dot (QD) embedded in a
two-dimensional (2D) semiconductor. The generalized Lippmann-Schwinger
equations including the electron-electron exchange interaction in this system
are solved for the continuum electron by using the method of continued
fractions (MCF) combined with 2D partial-wave expansion technique. The method
is applied to a one-electron QD case. Cross-sections are obtained for both the
singlet and triplet couplings between the incident electron and the QD electron
during the scattering. The total elastic cross-sections as well as the
spin-flip scattering cross-sections resulting from the exchange potential are
presented. Furthermore, inelastic scattering processes are also studied using a
multichannel formalism of the MCF.Comment: 11 pages, 4 figure
- …