Phosphorene confined systems in magnetic field, quantum transport, and superradiance in the quasi-flat band

Abstract

Spectral and transport properties of electrons in confined phosphorene systems are investigated in a five hopping parameter tight-binding model, using analytical and numerical techniques. The main emphasis is on the properties of the topological edge states accommodated by the quasi-flat band that characterizes the phosphorene energy spectrum. We show, in the particular case of phosphorene, how the breaking of the bipartite lattice structure gives rise to the electron-hole asymmetry of the energy spectrum. The properties of the topological edge states in the zig-zag nanoribbons are analyzed under different aspects: degeneracy, localization, extension in the Brillouin zone, dispersion of the quasi-flat band in magnetic field. The finite-size phosphorene plaquette exhibits a Hofstadter-type spectrum made up of two unequal butterflies separated by a gap, where a quasi-flat band composed of zig-zag edge states is located. The transport properties are investigated by simulating a four-lead Hall device (importantly, all leads are attached on the same zig-zag side), and using the Landauer-Buttiker formalism. We find out that the chiral edge states due to the magnetic field yield quantum Hall plateaus, but the topological edge states in the gap do not support the quantum Hall effect and prove a dissipative behavior. By calculating the complex eigenenergies of the non-Hermitian effective Hamiltonian that describes the open system (plaquette+leads), we prove the superradiance effect in the energy range of the quasi-flat band, with consequences for the density of states and electron transmission properties.

24 pages, 10 figures

References in corpus (11)

• Strain-Engineering Anisotropic Electrical Conductance of Phosphorene and Few-Layer Black Phosphorus
• Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
• Merging of Dirac points in a two-dimensional crystal
• Dissipative Quantum Hall Effect in Graphene near the Dirac Point
• Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
• Landau levels and magneto-transport property of monolayer phosphorene
• Phosphorene nanoribbons
• Landau levels of single layer and bilayer phosphorene
• Electronic and magneto-optical properties of monolayer phosphorene quantum dots
• Nonlocal Response and Anamorphosis: the Case of Few-Layer Black Phosphorus
• Superradiance Transition in Graphene

Cited by in corpus (15)

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• Probing the edge states in a zigzag phosphorene nanoribbon via RKKY exchange interaction
• High temperature electron-hole superfluidity with strong anisotropic gaps in double phosphorene monolayers
• Vacancy-induced Fano resonances in zigzag phosphorene nanoribbons
• Exchange interaction of magnetic impurities in biased bilayer phosphorene nanoribbon
• Anisotropic hybrid excitation modes in monolayer and double-layer phosphorene on polar substrates
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Non-Hermitian approach of edge states and quantum transport in a magnetic field
• Magnetoelectronic properties of normal and skewed phosphorene nanoribbons
• Quantum transport through the edge states of Zigzag phosphorene nanoribbons in presence of a single point defect: analytic Green's function method
• Tunable transmission due to defects in zigzag phosphorene nanoribbons
• Edge states mechanism for the anomalous quantum Hall effect in diatomic square lattice
• Ground state spin and excitation energies in half-filled Lieb lattices
• Exchange effect and magneto-plasmon mode dispersion in an anisotropic two-dimensional electronic system