Multilayered black phosphorus

From a tight-binding to a continuum description

D. J.P. De Sousa, L. V. De Castro, Diego Rabelo da Costa, J. Milton Pereira, Tony Low

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We investigate the electronic properties of N-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving 14 hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of N-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the N-layer problem can be translated into N effective monolayer problems in the long wavelength approximation and, within this analytical picture, we obtain expressions for the energy gap and the effective masses for electrons and holes along the N-layer black phosphorus plane directions as a function of the number of layers, as well as for the Landau levels as a function of perpendicular magnetic field.

Original languageEnglish (US)
Article number155427
JournalPhysical Review B
Volume96
Issue number15
DOIs
StatePublished - Oct 10 2017

Fingerprint

Hamiltonians
Phosphorus
phosphorus
continuums
Electronic properties
Transport properties
Monolayers
Energy gap
Optical properties
Magnetic fields
Wavelength
Electrons
electronics
transport properties
optical properties
approximation
magnetic fields
wavelengths
Direction compound
electrons

Cite this

De Sousa, D. J. P., De Castro, L. V., Rabelo da Costa, D., Pereira, J. M., & Low, T. (2017). Multilayered black phosphorus: From a tight-binding to a continuum description. Physical Review B, 96(15), [155427]. https://doi.org/10.1103/PhysRevB.96.155427

Multilayered black phosphorus : From a tight-binding to a continuum description. / De Sousa, D. J.P.; De Castro, L. V.; Rabelo da Costa, Diego; Pereira, J. Milton; Low, Tony.

In: Physical Review B, Vol. 96, No. 15, 155427, 10.10.2017.

Research output: Contribution to journalArticle

De Sousa, DJP, De Castro, LV, Rabelo da Costa, D, Pereira, JM & Low, T 2017, 'Multilayered black phosphorus: From a tight-binding to a continuum description', Physical Review B, vol. 96, no. 15, 155427. https://doi.org/10.1103/PhysRevB.96.155427
De Sousa, D. J.P. ; De Castro, L. V. ; Rabelo da Costa, Diego ; Pereira, J. Milton ; Low, Tony. / Multilayered black phosphorus : From a tight-binding to a continuum description. In: Physical Review B. 2017 ; Vol. 96, No. 15.
@article{1ee14c52c37e4b9fb77cb358cab3dcb6,
title = "Multilayered black phosphorus: From a tight-binding to a continuum description",
abstract = "We investigate the electronic properties of N-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving 14 hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of N-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the N-layer problem can be translated into N effective monolayer problems in the long wavelength approximation and, within this analytical picture, we obtain expressions for the energy gap and the effective masses for electrons and holes along the N-layer black phosphorus plane directions as a function of the number of layers, as well as for the Landau levels as a function of perpendicular magnetic field.",
author = "{De Sousa}, {D. J.P.} and {De Castro}, {L. V.} and {Rabelo da Costa}, Diego and Pereira, {J. Milton} and Tony Low",
year = "2017",
month = "10",
day = "10",
doi = "10.1103/PhysRevB.96.155427",
language = "English (US)",
volume = "96",
journal = "Physical Review B",
issn = "2469-9950",
number = "15",

}

TY - JOUR

T1 - Multilayered black phosphorus

T2 - From a tight-binding to a continuum description

AU - De Sousa, D. J.P.

AU - De Castro, L. V.

AU - Rabelo da Costa, Diego

AU - Pereira, J. Milton

AU - Low, Tony

PY - 2017/10/10

Y1 - 2017/10/10

N2 - We investigate the electronic properties of N-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving 14 hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of N-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the N-layer problem can be translated into N effective monolayer problems in the long wavelength approximation and, within this analytical picture, we obtain expressions for the energy gap and the effective masses for electrons and holes along the N-layer black phosphorus plane directions as a function of the number of layers, as well as for the Landau levels as a function of perpendicular magnetic field.

AB - We investigate the electronic properties of N-layer black phosphorus by means of an analytical method based on a recently proposed tight-binding Hamiltonian involving 14 hopping parameters. The method provides simple and accurate general expressions for the Hamiltonian of N-layer phosphorene, which are suitable for the study of electronic transport and optical properties of such systems, and the results show the features that emerge as the number of layers increases. In addition, we show that the N-layer problem can be translated into N effective monolayer problems in the long wavelength approximation and, within this analytical picture, we obtain expressions for the energy gap and the effective masses for electrons and holes along the N-layer black phosphorus plane directions as a function of the number of layers, as well as for the Landau levels as a function of perpendicular magnetic field.

UR - http://www.scopus.com/inward/record.url?scp=85037694851&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037694851&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.96.155427

DO - 10.1103/PhysRevB.96.155427

M3 - Article

VL - 96

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 15

M1 - 155427

ER -