10,730 research outputs found
Time-reversal-symmetry-broken quantum spin Hall effect
Quantum spin Hall (QSH) state of matter is usually considered to be protected
by time-reversal (TR) symmetry. We investigate the fate of the QSH effect in
the presence of the Rashba spin-orbit coupling and an exchange field, which
break both inversion and TR symmetries. It is found that the QSH state
characterized by nonzero spin Chern numbers persists when the
TR symmetry is broken. A topological phase transition from the TR
symmetry-broken QSH phase to a quantum anomalous Hall phase occurs at a
critical exchange field, where the bulk band gap just closes. It is also shown
that the transition from the TR symmetry-broken QSH phase to an ordinary
insulator state can not happen without closing the band gap.Comment: 5 pages, 5 figure
Stabilization of Quantum Spin Hall Effect by Designed Removal of Time-Reversal Symmetry of Edge States
The quantum spin Hall (QSH) effect is known to be unstable to perturbations
violating time-reversal symmetry. We show that creating a narrow ferromagnetic
(FM) region near the edge of a QSH sample can push one of the
counterpropagating edge states to the inner boundary of the FM region, and
leave the other at the outer boundary, without changing their spin
polarizations and propagation directions. Since the two edge states are
spatially separated into different "lanes", the QSH effect becomes robust
against symmetry-breaking perturbations.Comment: 5 pages, 4 figure
New Evidence of Discrete Scale Invariance in the Energy Dissipation of Three-Dimensional Turbulence: Correlation Approach and Direct Spectral Detection
We extend the analysis of [Zhou and Sornette, Physica D 165, 94-125, 2002]
showing statistically significant log-periodic corrections to scaling in the
moments of the energy dissipation rate in experiments at high Reynolds number
() of three-dimensional fully developed turbulence. First, we
develop a simple variant of the canonical averaging method using a rephasing
scheme between different samples based on pairwise correlations that confirms
Zhou and Sornette's previous results. The second analysis uses a simpler local
spectral approach and then performs averages over many local spectra. This
yields stronger evidence of the existence of underlying log-periodic
undulations, with the detection of more than 20 harmonics of a fundamental
logarithmic frequency corresponding to the preferred
scaling ratio .Comment: 9 RevTex4 papes including 8 eps figure
Self-Consistency Requirements of the Renormalization Group for Setting the Renormalization Scale
In conventional treatments, predictions from fixed-order perturbative QCD
calculations cannot be fixed with certainty due to ambiguities in the choice of
the renormalization scale as well as the renormalization scheme. In this paper
we present a general discussion of the constraints of the renormalization group
(RG) invariance on the choice of the renormalization scale. We adopt the RG
based equations, which incorporate the scheme parameters, for a general
exposition of RG invariance, since they simultaneously express the invariance
of physical observables under both the variation of the renormalization scale
and the renormalization scheme parameters. We then discuss the self-consistency
requirements of the RG, such as reflexivity, symmetry, and transitivity, which
must be satisfied by the scale-setting method. The Principle of Minimal
Sensitivity (PMS) requires the slope of the approximant of an observable to
vanish at the renormalization point. This criterion provides a
scheme-independent estimation, but it violates the symmetry and transitivity
properties of the RG and does not reproduce the Gell-Mann-Low scale for QED
observables. The Principle of Maximum Conformality (PMC) satisfies all of the
deductions of the RG invariance - reflectivity, symmetry, and transitivity.
Using the PMC, all non-conformal -terms (
stands for an arbitrary renormalization scheme) in the perturbative expansion
series are summed into the running coupling, and one obtains a unique,
scale-fixed, scheme-independent prediction at any finite order. The PMC scales
and the resulting finite-order PMC predictions are both to high accuracy
independent of the choice of initial renormalization scale, consistent with RG
invariance. [...More in the text...]Comment: 15 pages, 4 figures. References updated. To be published in
Phys.Rev.
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