Quantum Hall effect and semiconductor to semimetal transition in biased black phosphorus

Abstract

We study the quantum Hall effect of 2D electron gas in black phosphorus in the presence of perpendicular electric and magnetic fields. In the absence of a bias voltage, the external magnetic field leads to a quantization of the energy spectrum into equidistant Landau levels, with different cyclotron frequencies for the electron and hole bands. The applied voltage reduces the band gap, and eventually a semiconductor to semimetal transition takes place. This nontrivial phase is characterized by the emergence of a pair of Dirac points in the spectrum. As a consequence, the Landau levels are not equidistant anymore, but follow the ${\epsilon }_n\propto \sqrt{nB}$ characteristic of Dirac crystals as graphene. By using the Kubo-Bastin formula in the context of the kernel polynomial method, we compute the Hall conductivity of the system. We obtain a ${\sigma }_{xy}\propto 2n$ quantization of the Hall conductivity in the gapped phase (standard quantum Hall effect regime), and a ${\sigma }_{xy}\propto 4(n+1/2)$ quantization in the semimetalic phase, characteristic of Dirac systems with non-trivial topology.

8 pages, 7 figures

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Cited by in corpus (36)

• Quantum Hall Effect in Ultrahigh Mobility Two-dimensional Hole Gas of Black Phosphorus
• Theory of 2D crystals: graphene and beyond
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
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• Tunable Electronic Properties of Multilayer Phosphorene and Its Nanoribbons
• Quantum Hall studies of a Semi-Dirac Nanoribbon
• Exchange interaction of magnetic impurities in biased bilayer phosphorene nanoribbon
• Electron spin dynamics of two-dimensional layered materials
• Pseudospin Electronics in Phosphorene Nanoribbons
• Electronic and transport properties of anisotropic semiconductor quantum wires
• Topological phase transition induced by band structure modulation in a Chern insulator
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• Band gap reconstruction at the interface between black phosphorus and a gold electrode
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• Chebyshev Polynomial Method to Landauer-Büttiker Formula of Quantum Transport in Nanostructures
• Electronic structure of monolayer antimonene nanoribbons under out-of-plane and transverse bias
• Large scale calculations of thermoelectric transport coefficients: a case study of γ-graphyne with point defects
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
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• Exchange effect and magneto-plasmon mode dispersion in an anisotropic two-dimensional electronic system
• Quantized Berry winding from an emergent $\mathcal{P}\mathcal{T}$ symmetry