|
|
Isotropic or anisotropic screening in black phosphorous: Can doping tip the balance? |
Zhi-Min Liu, Ye Yang, Yue-Shao Zheng, Qin-Jun Chen, Ye-Xin Feng( ) |
Hunan Provincial Key Laboratory of Low-Dimensional Structural Physics & Devices, School of Physics and Electronics, Hunan University, Changsha 410082, China |
|
|
Abstract Black phosphorus (BP), a layered van der Waals (vdW) crystal, has unique in-plane band anisotropy and many resulting anisotropy properties such as the effective mass, electron mobility, optical absorption, thermal conductivity and plasmonic dispersion. However, whether anisotropic or isotropic charge screening exist in BP remains a controversial issue. Based on first-principles calculations, we study the screening properties in both of single-layer and bulk BP, especially concerning the role of doping. Without charge doping, the single-layer and bulk-phase BP show slight anisotropic screening. Electron and hole doping can increase the charge screening of BP and significantly change the relative static dielectric tensor elements along two different in-plane directions. We further study the charge density change induced by potassium (K) adatom near the BP surface, under different levels of charge doping. The calculated two-dimensional (2D) charge redistribution patterns also confirm that doping can greatly affect the screening feature and tip the balance between isotropic and anisotropic screening. We corroborate that screening in BP exhibits slight intrinsic anisotropy and doping has significant influence on its screening property.
|
Keywords
first-principles calculation
charge screening
black phosphorus
dielectric function
doping
|
Corresponding Author(s):
Ye-Xin Feng
|
Issue Date: 10 October 2020
|
|
1 |
L. Li, Y. Yu, G. J. Ye, Q. Ge, X. Ou, H. Wu, D. Feng, X. H. Chen, and Y. Zhang, Black phosphorus field-effect transistors, Nat. Nanotechnol. 9(5), 372 (2014)
https://doi.org/10.1038/nnano.2014.35
|
2 |
X. Wang, A. M. Jones, K. L. Seyler, V. Tran, Y. Jia, H. Zhao, H. Wang, L. Yang, X. Xu, and F. Xia, Highly anisotropic and robust excitons in monolayer black phosphorus, Nat. Nanotechnol. 10(6), 517 (2015)
https://doi.org/10.1038/nnano.2015.71
|
3 |
R. A. Doganov, S. P. Koenig, Y. Yeo, K. Watanabe, T. Taniguchi, and B. Özyilmaz, Transport properties of ultrathin black phosphorus on hexagonal boron nitride, Appl. Phys. Lett. 106(8), 083505 (2015)
https://doi.org/10.1063/1.4913419
|
4 |
S. W. Kim, H. Jung, H. J. Kim, J. H. Choi, S. H. Wei, and J. H. Cho, Microscopic mechanism of the tunable band gap in potassium-doped few-layer black phosphorus, Phys. Rev. B 96(7), 075416 (2017)
https://doi.org/10.1103/PhysRevB.96.075416
|
5 |
A. Chaves, T. Low, P. Avouris, D. Çakır, and F. M. Peeters, Anisotropic exciton Stark shift in black phosphorus, Phys. Rev. B 91(15), 155311 (2015)
https://doi.org/10.1103/PhysRevB.91.155311
|
6 |
X. Ling, H. Wang, S. Huang, F. Xia, and M. S. Dresselhaus, The renaissance of black phosphorus, Proc. Natl. Acad. Sci. 112(15), 4523 (2015)
https://doi.org/10.1073/pnas.1416581112
|
7 |
F. Xia, H. Wang, and Y. Jia, Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics, Nat. Commun. 5, 4458 (2014)
https://doi.org/10.1038/ncomms5458
|
8 |
R. Wang, X. Ren, Z. Yan, W. E. I. Sha, L. J. Jiang, and G. C. Shan, Graphene based functional devices: A short review, Front. Phys. 14(1), 13603 (2019)
https://doi.org/10.1007/s11467-018-0859-y
|
9 |
K. S. Novoselov, D. Andreeva, W. Ren, and G. Shan, Graphene and other two-dimensional materials, Front. Phys. 14(1), 13301 (2019)
https://doi.org/10.1007/s11467-018-0835-6
|
10 |
H. Yuan and Z. Li, Interfacial properties of black phosphorus/ transition metal carbide van der Waals heterostructures, Front. Phys. 13(3), 138103 (2018)
https://doi.org/10.1007/s11467-018-0759-1
|
11 |
M. Hu, N. Zhang, G. Shan, J. Gao, J. Liu, and R. K. Y. Li, Two-dimensional materials: Emerging toolkit for construction of ultrathin high-efficiency microwave shield and absorber, Front. Phys. 13(4), 138113 (2018)
https://doi.org/10.1007/s11467-018-0809-8
|
12 |
Z. Ma, J. Zhuang, X. Zhang, and Z. Zhou, SiP monolayers: New 2D structures of group IV–V compounds for visible-light photohydrolytic catalysts, Front. Phys. 13(3), 138104 (2018)
https://doi.org/10.1007/s11467-018-0760-8
|
13 |
S. P. Koenig, R. A. Doganov, H. Schmidt, A. H. C. Neto, and B. Özyilmaz, Electric field effect in ultrathin black phosphorus, Appl. Phys. Lett. 104(10), 103106 (2014)
https://doi.org/10.1063/1.4868132
|
14 |
X. Liu, C. R. Ryder, S. A. Wells, and M. C. Hersam, Resolving the in-plane anisotropic properties of black phosphorus, Small Methods 1(6), 1700143 (2017)
https://doi.org/10.1002/smtd.201700143
|
15 |
H. Tian, J. Tice, R. Fei, V. Tran, X. Yan, L. Yang, and H. Wang, Low-symmetry two-dimensional materials for electronic and photonic applications, Nano Today 11(6), 763 (2016)
https://doi.org/10.1016/j.nantod.2016.10.003
|
16 |
Z. Tian, Y. Gan, T. Zhang, B. Wang, H. Ji, Y. Feng, and J. Xue, Isotropic charge screening of anisotropic black phosphorus revealed by potassium adatoms, Phys. Rev. B 100(8), 085440 (2019)
https://doi.org/10.1103/PhysRevB.100.085440
|
17 |
T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, Plasmons and screening in monolayer and multilayer black phosphorus, Phys. Rev. Lett. 113(10), 106802 (2014)
https://doi.org/10.1103/PhysRevLett.113.106802
|
18 |
B. Smith, B. Vermeersch, J. Carrete, E. Ou, J. Kim, N. Mingo, D. Akinwande, and L. Shi, Temperature and thickness dependences of the anisotropic in-plane thermal conductivity of black phosphorus, Adv. Mater. 29(5), 1603756 (2017)
https://doi.org/10.1002/adma.201603756
|
19 |
X. J. Li, J. H. Yu, Z. H. Wu, and W. Yang, Tuning the electrical and optical anisotropy of a monolayer black phosphorus magnetic superlattice, Nanotechnology 29(17), 174001 (2018)
https://doi.org/10.1088/1361-6528/aaaf0f
|
20 |
Y. M. Qing, H. F. Ma, and T. J. Cui, Strong coupling between magnetic plasmons and surface plasmons in a black phosphorus-spacer-metallic grating hybrid system, Opt. Lett. 43(20), 4985 (2018)
https://doi.org/10.1364/OL.43.004985
|
21 |
Q. Fo, L. Pan, X. Chen, Q. Xu, C. Ouyang, X. Zhang, Z. Tian, J. Gu, L. Liu, J. Han, and W. Zhang, Anisotropic plasmonic response of black phosphorus nanostrips in terahertz metamaterials, IEEE Photonics J. 10(3), 1 (2018)
https://doi.org/10.1109/JPHOT.2018.2842059
|
22 |
Y. Abate, S. Gamage, L. Zhen, S. B. Cronin, H. Wang, V. Babicheva, M. H. Javani, and M. I. Stockman, Nanoscopy reveals surface-metallic black phosphorus, Light Sci. Appl. 5(10), e16162 (2016)
https://doi.org/10.1038/lsa.2016.162
|
23 |
D. A. Prishchenko, V. G. Mazurenko, M. I. Katsnelson, and A. N. Rudenko, Coulomb interactions and screening effects in few-layer black phosphorus: A tight-binding consideration beyond the long-wavelength limit, 2D Mater. 4, 025064 (2017)
https://doi.org/10.1088/2053-1583/aa676b
|
24 |
B. Kiraly, E. J. Knol, K. Volckaert, D. Biswas, A. N. Rudenko, D. A. Prishchenko, V. G. Mazurenko, M. I. Katsnelson, P. Hofmann, D. Wegner, and A. A. Khajetoorians, Anisotropic two-dimensional screening at the surface of black phosphorus, Phys. Rev. Lett. 123(21), 216403 (2019)
https://doi.org/10.1103/PhysRevLett.123.216403
|
25 |
K. Postava, H. Sueki, M. Aoyama, T. Yamaguchi, K. Murakami, and Y. Igasaki, Doping effects on optical propert ies of epitaxial ZnO layers determined by spectroscopic ellipsometry, Appl. Surf. Sci. 175–176, 543 (2001)
https://doi.org/10.1016/S0169-4332(01)00145-3
|
26 |
P. Gava, M. Lazzeri, A. M. Saitta, and F. Mauri, Ab initio study of gap opening and screening effects in gated bilayer graphene, Phys. Rev. B 79(16), 165431 (2009)
https://doi.org/10.1103/PhysRevB.79.165431
|
27 |
P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A. P. Seitsonen, A. Smogunov, P. Umari, and R. M. Wentzcovitch, QUANTUM ESPRESSO: a modular and opensource software project for quantum simulations of materials, J. Phys.: Condens. Matter 21(39), 395502 (2009)
https://doi.org/10.1088/0953-8984/21/39/395502
|
28 |
J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77(18), 3865 (1996)
https://doi.org/10.1103/PhysRevLett.77.3865
|
29 |
A. Brown and S. Rundqvist, Refinement of the crystal structure of black phosphorus, Acta Crystallogr. 19(4), 684 (1965)
https://doi.org/10.1107/S0365110X65004140
|
30 |
J. Deslippe, G. Samsonidze, D. A. Strubbe, M. Jain, M. L. Cohen, and S. G. Louie, BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures, Comput. Phys. Commun. 183(6), 1269 (2012)
https://doi.org/10.1016/j.cpc.2011.12.006
|
31 |
G. Kresse and J. Hafner, Ab initiomolecular dynamics for open-shell transition metals, Phys. Rev. B 48(17), 13115 (1993)
https://doi.org/10.1103/PhysRevB.48.13115
|
32 |
G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6(1), 15 (1996)
https://doi.org/10.1016/0927-0256(96)00008-0
|
33 |
A. N. Rudenko and M. I. Katsnelson, Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus, Phys. Rev. B 89(20), 201408 (2014)
https://doi.org/10.1103/PhysRevB.89.201408
|
34 |
H. Asahina and A. Morita, Band structure and optical properties of black phosphorus, J. Phys. C Solid State Phys. 17(11), 1839 (1984)
https://doi.org/10.1088/0022-3719/17/11/006
|
35 |
E. Gaufrès, F. Fossard, V. Gosselin, L. Sponza, F. Ducastelle, Z. Li, S. G. Louie, R. Martel, M. Côté, and A. Loiseau, Momentum-resolved dielectric response of free-standing mono-, Bi-, and tri-layer black phosphorus, Nano Lett. 19(11), 8303 (2019)
https://doi.org/10.1021/acs.nanolett.9b03928
|
36 |
D. C. Reynolds, B. Jogai, P. W. Yu, K. R. Evans, and C. E. Stutz, Increased screening of the hydrogenic donor due to modulation doping in quantum wells, Phys. Rev. B 46(23), 15274 (1992)
https://doi.org/10.1103/PhysRevB.46.15274
|
37 |
T. Low, A. S. Rodin, A. Carvalho, Y. Jiang, H. Wang, F. Xia, and A. H. C. Neto, Tunable optical properties of multilayer black phosphorus thin films, Phys. Rev. B 90(7), 075434 (2014)
https://doi.org/10.1103/PhysRevB.90.075434
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|