Abstract
A transversely applied magnetic field can alter the energy bandgap and other corresponding electrical parameters of a PN-device at the nanoscale. The present theoretical analysis demonstrates that the applied magnetic field controls the bandgap and resistivity of a phosphorene nanoribbon (PNR)-based PN-device. This allows the device to function as a magnetic field sensor as well. For this purpose, the electron–acoustic phonon scattering mechanism is used to estimate phonon-mediated electronic resistivity, which is a parameter directly linked to the bandgap. The armchair configuration of nanoribbons is subjected to energy bandgap and resistivity calculations owing to their semiconducting nature. It is found that in the absence of a magnetic field, the device exhibits a semiconducting nature, but when a magnetic field is supplied, the device acquires a conducting (metallic) state. This semiconductor-to-metal transition is attributable to the change in resistivity of the PN-device under a transversely applied magnetic field, which ultimately results in a change in bandgap. The outcome of the work is pivotal for (i) various nanoelectronic applications that demand semiconductor–metal transition and (ii) designing a magnetic field sensor via bandgap regulation of PNR-based PN-devices.




Similar content being viewed by others
Data Availability
All data that support the findings of this study are included within the article.
References
N.D. Drummond, V. Zólyomi, and V.I. Falko, Electrically tunable band gap in silicene. Phys. Rev. B Condens. Matter Mater. Phys. 85, 075423 (2012).
K.F. Mak, C. Lee, J. Hone, J. Shan, and T.F. Heinz, Atomically thin MoS2: a new direct-gap semiconductor. Phys. Rev. Lett. 105, 136805 (2010).
P. Garg, I. Choudhuri, A. Mahata, and B. Pathak, Band gap opening in stanene induced by patterned B-N doping. Phys. Chem. Chem. Phys. 19, 3660–3669 (2017).
M. Ye, R. Quhe, J. Zheng, Z. Ni, Y. Wang, Y. Yuan, G. Tse, J. Shi, Z. Gao, and J. Lu, Tunable band gap in germanene by surface adsorption. Phys. E Low Dimens. Syst. Nanostruct. 59, 60–65 (2014).
L.J. Kong, G.H. Liu, and Y.J. Zhang, Tuning the electronic and optical properties of phosphorene by transition-metal and nonmetallic atom co-doping. RSC Adv. 6, 10919–10929 (2016).
A. Pandya, K. Sangani, and P.K. Jha, Band gap determination of graphene, h-boron nitride, phosphorene, silicene, stanene, and germanene nanoribbons. J. Phys. D. Appl. Phys. 53, 415103 (2020).
V. Tran, R. Soklaski, Y. Liang, and L. Yang, Layer-controlled band gap and anisotropic excitons in few-layer black phosphorus. Phys. Rev. B Condens. Matter Mater. Phys. 89, 235319 (2014).
S. Mukherjee, and T.P. Kaloni, Electronic properties of boron- and nitrogen-doped graphene: a first principles study. J. Nanopart. Res. 14, 1–5 (2012).
J.H. Huang, X.F. Wang, Y.S. Liu, and L.P. Zhou, Electronic properties of armchair black phosphorene nanoribbons edge-modified by transition elements V, Cr, and Mn. Nanoscale Res. Lett. 14, 1–11 (2019).
H.O.H. Churchill, and P. Jarillo-Herrero, Phosphorus joins the family. Nat. Nanotechnol. 9, 330–331 (2014).
B. Li, C. Lai, G. Zeng, D. Huang, L. Qin, M. Zhang, M. Cheng, X. Liu, H. Yi, C. Zhou, F. Huang, S. Liu, and Y. Fu, Black phosphorus, a rising star 2D nanomaterial in the post-graphene era: synthesis, properties, modifications, and photocatalysis applications. Small 15, 1804565 (2019).
E. Taghizadeh Sisakht, M.H. Zare, and F. Fazileh, Scaling laws of band gaps of phosphorene nanoribbons: a tight-binding calculation. Phys. Rev. B Condens. Matter Mater. Phys. 91, 085409 (2015).
H. Liu, A.T. Neal, Z. Zhu, Z. Luo, X. Xu, D. Tománek, and P.D. Ye, Phosphorene: an unexplored 2D semiconductor with a high hole mobility. ACS Nano 8, 4033–4041 (2014).
J. Zhang, H.J. Liu, L. Cheng, J. Wei, J.H. Liang, D.D. Fan, J. Shi, X.F. Tang, and Q.J. Zhang, Phosphorene nanoribbon as a promising candidate for thermoelectric applications. Sci. Rep. 4, 1–8 (2014).
E. Mansouri, J. Karamdel, M. Berahman, and M.T. Ahmadi, Phosphorene as H2S and CH4 gas sensor. Phys. Status Solidi 216, 1800086 (2019).
L. Kou, T. Frauenheim, and C. Chen, Phosphorene as a superior gas sensor: selective adsorption and distinct i - V response. J. Phys. Chem. Lett. 5, 2675–2681 (2014).
X. Yu, S. Zhang, H. Zeng, and Q.J. Wang, Lateral black phosphorene P-N junctions formed via chemical doping for high performance near-infrared photodetector. Nano Energy 25, 34–41 (2016).
D.K. Kim, S.B. Hong, K. Jeong, C. Lee, H. Kim, and M.H. Cho, P-N Junction diode using plasma boron-doped black phosphorus for high-performance photovoltaic devices. ACS Nano (2019). https://doi.org/10.1021/ACSNANO.8B07730/SUPPL_FILE/NN8B07730_SI_001.PDF.
S.S. Chauhan, P. Srivastava, and A.K. Shrivastava, Electronic and transport properties of boron and nitrogen doped graphene nanoribbons: an ab initio approach. Appl. Nanosci. 4, 461–467 (2014).
A. Pandya, and P.K. Jha, Electronic transport characteristics of a graphene nanoribbon based p–n device. J. Electron. Mater. 48, 5702–5709 (2019).
M.Y. Han, B. Özyilmaz, Y. Zhang, and P. Kim, Energy band-gap engineering of graphene nanoribbons. Phys. Rev. Lett. 98, 206805 (2007).
L. Yang, C.H. Park, Y.W. Son, M.L. Cohen, and S.G. Louie, Quasiparticle energies and band gaps in graphene nanoribbons. Phys. Rev. Lett. 99, 186801 (2007).
V. Tran, and L. Yang, Scaling laws for the band gap and optical response of phosphorene nanoribbons. Phys. Rev. B Condens. Matter Mater. Phys. 89, 245407 (2014).
S. Das, W. Zhang, M. Demarteau, A. Hoffmann, M. Dubey, and A. Roelofs, Tunable transport gap in phosphorene. Nano Lett. 14, 5733–5739 (2014).
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, 372–377 (2014).
B.H. Nguyen, and V.H. Nguyen, Two-dimensional hexagonal semiconductors beyond graphene. Adv. Nat. Sci. Nanosci. Nanotechnol. 7, 043001 (2016).
Y.W. Son, M.L. Cohen, and S.G. Louie, Energy gaps in graphene nanoribbons. Phys. Rev. Lett. 97, 216803 (2006).
W. Yu, Z. Zhu, C.Y. Niu, C. Li, J.H. Cho, and Y. Jia, Anomalous doping effect in black phosphorene using first-principles calculations. Phys. Chem. Chem. Phys. 17, 16351–16358 (2015).
D.W. Boukhvalov, The atomic and electronic structure of nitrogen- and boron-doped phosphorene. Phys. Chem. Chem. Phys. 17, 27210–27216 (2015).
J.E. Lenz, A review of magnetic sensors. Proc. IEEE 78, 973–989 (1990).
J. Dauber, A.A. Sagade, M. Oellers, K. Watanabe, T. Taniguchi, D. Neumaier, and C. Stampfer, Ultra-sensitive hall sensors based on graphene encapsulated in hexagonal boron nitride. Appl. Phys. Lett. 106, 193501 (2015).
B. Zhou, K. Watanabe, T. Taniguchi, and E.A. Henriksen, Extraordinary magnetoresistance in encapsulated monolayer graphene devices. Appl. Phys. Lett. 116, 053102 (2020).
D. Quang, V. Tuoc, and T. Huan, Roughness-induced piezoelectric scattering in lattice-mismatched semiconductor quantum wells. Phys. Rev. B 68, 195316 (2003).
Lundstrom, M. Fundamentals of carrier transport, 2nd edn. Meas. Sci. Technol. 13, 230 (2002).
J. Halle, N. Néel, M. Fonin, M. Brandbyge, and J. Kröger, Understanding and engineering phonon-mediated tunneling into graphene on metal surfaces. Nano Lett. 18, 5697–5701 (2018).
G.S.N. Eliel, M.V.O. Moutinho, A.C. Gadelha, A. Righi, L.C. Campos, H.B. Ribeiro, P.W. Chiu, K. Watanabe, T. Taniguchi, P. Puech, M. Paillet, T. Michel, P. Venezuela, and M.A. Pimenta, Intralayer and interlayer electron–phonon interactions in twisted graphene heterostructures. Nat. Commun. 9, 1–8 (2018).
Y. Li, H.M. Lu, O. Voskoboynikov, C.P. Lee, and S.M. Sze, Dependence of energy gap on magnetic field in semiconductor nano-scale quantum rings. Surf. Sci. 532–535, 811–815 (2003).
G. Fedorov, P. Barbara, D. Smirnov, D. Jiḿnez, and S. Roche, Tuning the band gap of semiconducting carbon nanotube by an axial magnetic field. Appl. Phys. Lett. 96, 132101 (2010).
G. Fedorov, A. Tselev, D. Jiménez, S. Latil, N.G. Kalugin, P. Barbara, D. Smirnov, and S. Roche, Magnetically induced field effect in carbon nanotube devices. Nano Lett. 7, 960–964 (2007).
D.E. Soule, J.W. McClure, and L.B. Smith, Study of the shubnikov-de haas effect. Determination of the fermi surfaces in graphite. Phys. Rev. 134, A453 (1964).
C.Y. Moon, and S.H. Wei, Band gap of Hg chalcogenides: symmetry-reduction-induced band-gap opening of materials with inverted band structures. Phys. Rev. B Condens. Matter Mater. Phys. 74, 045205 (2006).
A. Delin, First-principles calculations of the II-VI semiconductor β-HgS: metal or semiconductor. Phys. Rev. B 65, 153205 (2002).
M.E. Pistol, and C.E. Pryor, Band structure of core-shell semiconductor nanowires. Phys. Rev. B Condens. Matter Mater. Phys. 78, 115319 (2008).
A. Pandya, and P.K. Jha, Electron transport parameters study for transition metal-doped armchair graphene nanoribbon via acoustical phonon interactions. J. Electron. Mater. 46, 2340–2346 (2017).
U. Bockelmann, and G. Bastard, Phonon scattering and energy relaxation in two-, one-, and zero-dimensional electron gases. Phys. Rev. B 42, 8947 (1990).
B.K. Ridley, The electron-phonon interaction in quasi-two-dimensional semiconductor quantum-well structures. J. Phys. C Solid State Phys. 15, 5899 (1982).
Ariel, V. & Natan, A. Electron effective mass in graphene. in 2013 international conference on electromagnetics in advanced applications (ICEAA) (2013), pp. 696-698
K. Sangani, A. Dwivedi, A. Pandya, S. Pillai, and P.K. Jha, Electronic properties of Mn-doped graphene. Mater. Today Proc. 47, 601–604 (2021).
B.K. Ridley, Quantum processes in semiconductors. Quantum Process. Semicond. (2013). https://doi.org/10.1093/ACPROF:OSO/9780199677214.001.0001.
X.F. Peng, and K.Q. Chen, Comparison on thermal transport properties of graphene and phosphorene nanoribbons. Sci. Rep. 5, 1–9 (2015).
A. Jain, and A.J.H. McGaughey, Strongly anisotropic in-plane thermal transport in single-layer black phosphorene. Sci. Rep. 5, 1–5 (2015).
E. Burstein, Anomalous optical absorption limit in InSb. Phys. Rev. 93, 632 (1954).
C.E.P. Villegas, A.R. Rocha, and A. Marini, Anomalous temperature dependence of the band gap in black phosphorus. Nano Lett. 16, 5095–5101 (2016).
A. Surrente, A.A. Mitioglu, K. Galkowski, W. Tabis, D.K. Maude, and P. Plochocka, Excitons in atomically thin black phosphorus. Phys. Rev. B 93, 121405 (2016).
T. Liu, C. Zhu, W. Wu, K.N. Liao, X. Gong, Q. Sun, and R.K.Y. Li, Facilely prepared layer-by-layer graphene membrane-based pressure sensor with high sensitivity and stability for smart wearable devices. J. Mater. Sci. Technol. 45, 241–247 (2020).
Y. Lv, Q. Huang, S. Chang, H. Wang, and J. He, Highly sensitive bilayer phosphorene nanoribbon pressure sensor based on the energy gap modulation mechanism: a theoretical study. IEEE Electron Device Lett. 38, 1313–1316 (2017).
Acknowledgments
The authors acknowledge the Institute of Technology, Nirma University for providing the basic facility.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors disclose that there is no conflict of interest amongst them or with any other party.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Pandya, A., Sangani, K., Joshi, N. et al. Magnetic Field-Controlled Bandgap of a Phosphorene-Based PN-Device for Sensing Application. J. Electron. Mater. 52, 1113–1120 (2023). https://doi.org/10.1007/s11664-022-10053-7
Received:
Accepted:
Published:
Issue date:
DOI: https://doi.org/10.1007/s11664-022-10053-7


