Coulomb drag in anisotropic systems: a theoretical study on a double-layer phosphorene

Abstract

We theoretically study the Coulomb drag resistivity in a double-layer electron system with highly anisotropic parabolic band structure using Boltzmann transport theory. As an example, we consider a double-layer phosphorene on which we apply our formalism. This approach, in principle, can be tuned for other double-layered systems with paraboloidal band structures. Our calculations show the rotation of one layer with respect to another layer can be considered a way of controlling the drag resistivity in such systems. As a result of rotation, the off-diagonal elements of drag resistivity tensor have non-zero values at any temperature. In addition, we show that the anisotropic drag resistivity is very sensitive to the direction of momentum transfer between two layers due to highly anisotropic inter-layer electron-electron interaction and also the plasmon modes. In particular, the drag anisotropy ratio, \r{ho}yy/\r{ho}xx, can reach up to ~ 3 by changing the temperature. Furthermore,our calculations suggest that including the local field correction in dielectric function changes the results significantly. Finally, We examine the dependence of drag resistivity and its anisotropy ratio on various parameters like inter-layer separation, electron density, short-range interaction and insulating substrate/spacer.

10 pages, 9 figures

References in corpus (14)

• The Renaissance of Black Phosphorus
• Tunable optical properties of multilayers black phosphorus thin films
• Electronic structures and theoretical modelling of two-dimensional group-VIB transition metal dichalcogenides
• Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
• Plasmons and screening in monolayer and multilayer black phosphorus
• High quality sandwiched black phosphorus heterostructure and its quantum oscillations
• Strong Coulomb drag and broken symmetry in double-layer graphene
• Toward Air-Stable Multilayer Phosphorene Thin-Films and Transistors
• Anomalous Coulomb drag in electron-hole bilayers
• Temporal and Thermal Stability of Al2O3-passivated Phosphorene MOSFETs
• Coulomb Drag in Graphene
• Coulomb drag in graphene single layers separated by a thin spacer
• Collective modes in anisotropic double layer systems
• Plasmon and dielectric background inhomogeneity enhancement of Coulomb drag in graphene double-layer structures

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• Strong anisotropic optical conductivity in two dimensional puckered structures: The role of Rashba effect
• High temperature electron-hole superfluidity with strong anisotropic gaps in double phosphorene monolayers
• Anisotropic hybrid excitation modes in monolayer and double-layer phosphorene on polar substrates
• Collective plasmonic excitations in double-layer silicene at finite temperature
• Plasmon modes in monolayer and double-layer black phosphorus under applied uniaxial strain
• Local field correction effects on quasi-particle inelastic scattering rate in a coupled-quantum-layers system at finite temperature
• Coulomb drag in metal monochalcogenides double-layer structures with Mexican-hat band dispersions
• Anisotropic charge density wave in electron-hole double monolayers: Applied to phosphorene