Topological currents in black phosphorus with broken inversion symmetry

Abstract

We examine the nature of topological currents in black phosphorus when its inversion symmetry is deliberately broken. Here, the conduction and valence band edges are located at the $\Gamma$ point of the rectangular Brillouin zone, and they exhibit strong anisotropy along its two crystal axes. We will show below that these salient features lead to a linear transverse neutral topological currents, accompanied also by a non-linear transverse charge current at the Fermi surface. These topological currents are maximal when the in-plane electric field is applied along the zigzag crystal axes, but zero along the armchair direction.

5 pages, 4 figures

References in corpus (10)

• The Valley Hall Effect in MoS2 Transistors
• Quantum-limited shot noise in graphene
• Detecting Topological Currents in Graphene Superlattices
• Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
• High quality sandwiched black phosphorus heterostructure and its quantum oscillations
• Quality heterostructures from two dimensional crystals unstable in air by their assembly in inert atmosphere
• Gate Tunable Quantum Oscillations in Air-Stable and High Mobility Few-Layer Phosphorene Heterostructures
• TiS3 transistors with tailored morphology and electrical properties
• Nonlinear valley and spin currents from Fermi pocket anisotropy in 2D crystals
• Topological Valley Currents in Gapped Dirac Materials

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