![]() The weak loclaization occurs before Anderson localization, or strong localization, where the wavefucntion exponentially decays. If the interference is constructive (such as conventional electron gas), then the electron tends to stay here and the quantum correction to the Drude conductivity is negative while if the interference is destructive (such as Dirac fermions or spin-orbit coupling induced non-zero Berry phase involved), the quantum correction to the Drude conductivity is positive. The interference between those two loops will give a correction to the conductivity, known as the weak localization/anti-localization. The story is that, we can consider two Feynman paths that are time-reversal partners, i.e., one is clockwise and another is anti-clockwise. From ts to these data using the Hikami-Larkin-Nagaoka model, the phase coherence length of each device is extracted, as well as the spin diffusion length of the p-type device. In that case, in a weakly disordered system, the quantum diffusive regime, occurs, and the electrons can move. There are some other regimes but will not be addressed here. As the temperature of a system is decreased, the phase coherence length, l, which defines the average distance an electron can travel until its phase is randomized, can increase and become larger than the elastic mean free path, l e. (Phys Rev B 100:125162, 2019), which assumes infinite phase coherence length (l) and a zero spinorbit scattering length (lSO), the present. This is the so-called quantum diffusive regime. Compared to the previous approach Vu et al. The mean free path $\ell_$, the total sample is a coherent device, and the electron can maintain its phase coherence even after being scattered for many times.Systematic comparison of the transport properties of single-valley Weylįermions, 2D massless Dirac fermions, and 3D conventional electrons.I can help to explain the physical meaning of weak localization.įirst, there are several characteristic lengthes need to be clarified: Temperatures and leads to a tendency to localization. Interaction and disorder scattering always dominates the conductivity at low In addition, we find that the interplay of electron-electron The spinorbit interaction constant has been determined from the approximation of experimental data by a theoretical model in the diffusion approximation. Such quantum corrections are due to a strong spinorbit coupling in it. In the presence of strong intervalley scattering andĬorrelations, we expect a crossover from the weak antilocalization to weak Weak antilocalization in a narrow AlAs quantum well containing a two-dimensional electron system with a large effective mass at low temperatures has been studied. Magnetoconductivity near zero field, thus gives one of the transport signaturesįor Weyl semimetals. The weak antilocalization always dominates the Including the contributions from the weak antilocalization, Berry curvatureĬorrection, and Lorentz force, we compare the calculated magnetoconductivity Magnetoconductivity is negative and proportional to the square root of magneticįield at low temperatures, as a result of the weak antilocalization. For a single valley of Weyl fermions, we find that the Download a PDF of the paper titled Weak antilocalization and localization in disordered and interacting Weyl semimetals, by Hai-Zhou Lu and Shun-Qing Shen Download PDF Abstract: Using the Feynman diagram techniques, we derive the finite-temperatureĬonductivity and magnetoconductivity formulas from the quantum interference andĮlectron-electron interaction, for a three-dimensional disordered Weyl
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