Shot noise in Weyl semimetals

Abstract

We study the effect of inelastic processes on the magneto-transport of a quasi-one dimensional Weyl semi-metal, using a modified Boltzmann-Langevin approach. The magnetic field drives a crossover to a ballistic regime in which the propagation along the wire is dominated by the chiral anomaly, and the role of fluctuations inside the sample is exponentially suppressed. We show that inelastic collisions modify the parametric dependence of the current fluctuations on the magnetic field. By measuring shot noise as a function of a magnetic field, for different applied voltage, one can estimate the electron-electron inelastic length $l_{\mathrm{ee}}$.

arXiv comment7 pages, 1 figure

References in corpus (29)

• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Weyl Semimetal in a Topological Insulator Multilayer
• The Chiral Magnetic Effect
• Experimental discovery of Weyl semimetal TaAs
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Topological response in Weyl semimetals and the chiral anomaly
• Recent developments in transport phenomena in Weyl semimetals
• Topological and magnetic phases of interacting electrons in the pyrochlore iridates
• Current fluctuations in non-equilibrium diffusive systems: an additivity principle
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
• Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
• Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts
• Current at a distance and resonant transparency in Weyl semimetals
• Theory of the strongly disordered Weyl semimetal
• Frequency dependent third cumulant of current in diffusive conductors
• Electron-electron scattering effects on the Full Counting Statistics of Mesoscopic Conductors
• Kinetic theory of fluctuations in conducting systems
• Localization effects on magnetotransport of a disordered Weyl semimetal
• Semiclassical electron transport at the edge of a 2D topological insulator: Interplay of protected and unprotected modes
• Shot noise in NS junctions with Weyl superconductor