Transport of Dirac electrons in a random magnetic field in topological heterostructures

Abstract

We consider the proximity effect between Dirac states at the surface of a topological insulator and a ferromagnet with easy plane anisotropy, which is described by the \emph{XY}-model and undergoes a Berezinskii-Kosterlitz-Thouless (BKT) phase transition. The surface states of the topological insulator interacting with classical magnetic fluctuations of the ferromagnet can be mapped onto the problem of Dirac fermions in a random magnetic field. However, this analogy is only partial in the presence of electron-hole asymmetry or warping of the Dirac dispersion, which results in screening of magnetic fluctuations. Scattering at magnetic fluctuations influences the behavior of the surface resistivity as a function of temperature. Near the BKT phase transition temperature we find that the resistivity of surface states scales linearly with temperature and has a clear maximum which becomes more pronounced as the Fermi energy decreases. Additionally at low temperatures we find linear resistivity, usually associated with non-Fermi liquid behavior, however here it appears entirely within the Fermi liquid picture.

arXiv comment5 pages, 1 figure

References in corpus (35)

• Topological Insulators
• Topological insulators and superconductors
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Anderson Transitions
• Seeing the magnetic monopole through the mirror of topological surface states
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Dynamical Axion Field in Topological Magnetic Insulators
• Imaging Dirac-Mass Disorder from Magnetic Dopant-Atoms in the Ferromagnetic Topological Insulator Cr${}_x$(Bi${}_{0.1}$Sb${}_{0.9}$)${}_{2-x}$Te${}_3$
• Topological quantization in units of the fine structure constant
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Electric charging of magnetic textures on the surface of a topological insulator
• Localization of Charged Quantum Particles in a Static Random Magnetic Field
• Observation of Anderson localization in ultrathin films of three-dimensional topological insulators
• Ferromagnetic two-dimensional crystals: Single layers of K2CuF4
• Magnetoelectric Response of the Time-Reversal Invariant Helical Metal
• Metal-insulator transition in 2D random fermion systems of chiral symmetry classes
• Charged skyrmions on the surface of a topological insulator
• Improved Domain Wall Dynamics and Magnonic Torques using Topological Insulators
• Effect of Electron-electron Interaction on Surface Transport in Three-Dimensional Topological Insulators
• Effect of Long Range Disorder on Electron Motion in Two Dimensions
• Domain Wall Motion in Thin-Film Magnets/ Topological Insulator Junctions
• Resonant manifestations of chiral excitons in magnetooptical Faraday and Kerr effects in topological insulator film
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Long-range-correlated disorder in graphene
• Delocalization of boundary states in disordered topological insulators
• Dirac fermions in a power-law-correlated random vector potential
• Metallic phase in a two-dimensional disordered Fermi system with singular interactions
• Density Waves Instability and a Skyrmion Lattice on the Surface of Strong Topological Insulators
• Resonant Faraday and Kerr effects due to in-gap states on the surface of a topological insulator
• Planar Dirac fermions in long-range-correlated random vector potential
• Quantum Phase Fluctuations Responsible for Pseudogap

Cited by in corpus (3)

• Amperean Pairing at the Surface of Topological Insulators
• Conduction of surface electrons in a topological insulator with spatially random magnetization
• Chiral electronic network within skyrmionic lattice on topological insulator surfaces