Abstract
The magneto-transport properties of phosphorene are investigated by employing the generalized tight-binding model to calculate the energy bands. For bilayer phosphorene, a composite magnetic and electric field is shown to induce a feature-rich Landau level (LL) spectrum which includes two subgroups of low-lying LLs. The two subgroups possess distinct features in level spacings, quantum numbers, as well as field dependencies. These together lead to anomalous quantum Hall (QH) conductivities which include a well-shape, staircase and composite quantum structures with steps having varying heights and widths. The Fermi energy-magnetic field-Hall conductivity (EF−Bz−σxy) and Fermi energy-electric field-Hall conductivity (EF−Ez−σxy) phase diagrams clearly exhibit oscillatory behaviors and cross-over from integer to half-integer QH effect. The predicted results should be verifiable by magneto-transport measurements in a dual-gated system.
Highlights
The magneto-transport properties of phosphorene are investigated by employing the generalized tight-binding model to calculate the energy bands
It is noted that the Ez effects on the lowest pair of energy bands at the Γ point are qualitatively similar for various layer numbers[58,59]
The strong electrically tunable energy bands are capable of enriching the quantization properties under a uniform perpendicular magnetic field Bzz, such as producing two subgroups of Landau levels (LLs), uniform and non-uniform LL energy spacings, and frequent crossings and anti-crossings
Summary
The magneto-transport properties of phosphorene are investigated by employing the generalized tight-binding model to calculate the energy bands. Two-dimensional (2D) layered systems, having nano-scaled thickness and unique geometric symmetries, have found themselves in the main stream of material sciences especially after the success of graphene These novel materials have been found to possess critical applications due to their transport and optical properties. The intrinsic energy gap in phosphorene ranges from 0.5 to 2 eV depending on the number of layers[16,17,18], as demonstrated by optical measurements[10,19]. The deformed hexagonal lattice in the x-y plane is a large contrast to the highly symmetric honeycomb lattice of the group-IV systems[36] This unique geometric structure causes the highly anisotropic low-lying energy bands, i.e., the linear and parabolic dispersions near the Fermi energy EF, respectively, along the kx and ky directions[17]. The unusual phenomena of electronic transport properties of graphene stimulate a lot of interest in exploring the configuration-enriched QHE in other novel 2D materials
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