Transport in topological insulators with bulk-surface coupling: Interference corrections and conductance fluctuations

Abstract

Motivated by the experimental difficulty to produce topological insulators (TIs) of the Bi${}_2$Se${}_3$ family with pure surface-state conduction, we study the effect that the bulk can have on the low-temperature transport properties of gated thin TI films. In particular, we focus on interference corrections, namely weak localization (WL) or weak-antilocalization (WAL), and conductance fluctuations (CFs) based on an effective low-energy Hamiltonian. Utilizing diagrammatic perturbation theory we first analyze the bulk and the surface separately and subsequently discuss WL/WAL and CFs when a tunneling-coupling is introduced. We identify the relevant soft diffusion modes of the coupled system and use this insight to make simultaneous predictions for both interference corrections and conductance fluctuations in various parameter regimes. The results strongly suggest that the combined measurement of both quantities can provide an improved understanding of the physics underlying the low-temperature transport processes in thin TI films with bulk-surface coupling.

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Cited by in corpus (5)

• Observation of Planar Hall Effect in Topological Insulator -- Bi${}_2$Te${}_3$
• Quantum Interference Theory of Magnetoresistance in Dirac Materials
• Anomalous Temperature Dependence of Quantum Correction to the Conductivity of Magnetic Topological Insulators
• Spin-charge coupled transport in van der Waals systems with random tunneling
• Mesoscopic fluctuations in superconductor-topological insulator Josephson junctions