| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Prev
Next
|
|
|
Anomalous quantum scattering and transport of electrons with Mexican-hat band structure induced by electrical potential |
| Jia-Ting Yao(姚嘉婷)1, Ben-Liang Zhou(周本良)1, Xiao-Ying Zhou(周小英)2,1,†, Xian-Bo Xiao(肖贤波)3,‡, and Guang-Hui Zhou(周光辉)4 |
1 Department of Physics, Key Laboratory for Low-Dimensional Structures and Quantum Manipulation (Ministry of Education), Hunan Normal University, Changsha 410081, China;
2 School of Physics and Electronics, Hunan Provincial Key Laboratory of Intelligent Sensors and Advanced Sensor Materials, Hunan University of Science and Technology, Xiangtan 411201, China;
3 School of Computer Science, Jiangxi University of Chinese Medicine, Nanchang 330004, China;
4 Department of Physics, Shaoyang University, Shaoyang 422001, China |
|
|
|
|
Abstract We theoretically study the quantum scattering and transport of electrons with Mexican-hat dispersion through both step and rectangular potential barriers by using the transfer matrix method. Owing to the torus-like iso-energy lines of the Mexican-hat dispersion, abnormal retro-reflection (RR) and specular transmission (ST) are generated besides the normal reflection (NR) and transmission (NT). For the step potential with electrons incident from the large wavevector, the transmission is primarily governed by NT with nearly negligible ST, while the reflection is dominant by RR (NR) within (outside) the critical angle. Additionally, for electrons incident from the small wavevector, the NT can be reduced to zero by adjusting the barrier, resulting in a significant enhancement of ST and RR. For the rectangular barrier, the transmission and reflection spectra resemble those of the step barrier, but there are two kinds of resonant tunneling which can lead to perfect NT or ST. Due to the anomalous scattering process, the conductance of the system can be effectively controlled by adjusting the height and width of the barrier as well as the incident energy. Our results provide a deeper understanding of the electron states governed by the Mexican-hat dispersion.
|
Received: 07 May 2025
Revised: 21 June 2025
Accepted manuscript online: 08 July 2025
|
|
PACS:
|
72.10.-d
|
(Theory of electronic transport; scattering mechanisms)
|
| |
72.20.Dp
|
(General theory, scattering mechanisms)
|
| |
73.23.-b
|
(Electronic transport in mesoscopic systems)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12374071, 12174100, 12164021, and 11804092) and the Natural Science Foundation of Jiangxi Province, China (Grant No. 20212ACB201005). |
Corresponding Authors:
Xiao-Ying Zhou, Xian-Bo Xiao
E-mail: xyzhou@hnust.edu.cn;20101034@jxutcm.edu.cn
|
Cite this article:
Jia-Ting Yao(姚嘉婷), Ben-Liang Zhou(周本良), Xiao-Ying Zhou(周小英), Xian-Bo Xiao(肖贤波), and Guang-Hui Zhou(周光辉) Anomalous quantum scattering and transport of electrons with Mexican-hat band structure induced by electrical potential 2026 Chin. Phys. B 35 037203
|
[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Science 306 666
[2] Sahin H, Cahangirov S, Topsakal M, Bekaroglu E, Akturk E, Senger R T and Ciraci S 2009 Phys. Rev. B 80 155453
[3] Yu S,Wu X,Wang Y, Guo X and Tong L 2017 Adv. Mater. 29 1606128
[4] Gibertini M, Koperski M, Morpurgo A F and Novoselov K S 2019 Nat. Nanotechnol. 14 408
[5] Gao G, Ding G, Li J, Yao K, Wu M and Qian M 2016 Nanoscale 8 8986
[6] Cai H, Gu Y, Lin Y C, Yu Y, Geohegan D B and Xiao K 2019 Appl. Phys. Rev. 6 041312
[7] Vu T V, Phuc H V, Nhan L C, Kartamyshev A I and Hieu N N 2023 J. Phys. D: Appl. Phys. 56 135302
[8] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V and Firsov A A 2005 Nature 438 197
[9] Mak K F, Lee C, Hone J, Shan J and Heinz T F 2010 Phys. Rev. Lett. 105 136805
[10] Zólyomi V, Drummond N D and Fal’ko V I 2013 Phys. Rev. B 87 195403
[11] Min H, Sahu B, Banerjee S K and MacDonald A H 2007 Phys. Rev. B 75 155115
[12] Jiang Y, Thapa S, Sanders G D, Stanton C J, Zhang Q, Kono J, Lou W K, Chang K, Hawkins S D, Klem J F, Pan W, Smirnov D and Jiang Z 2017 Phys. Rev. B 95 045116
[13] Magorrian S J, Zólyomi V and Fal’ko V I 2016 Phys. Rev. B 94 245431
[14] Jappor H R and Habeeb M A 2018 Current Appl. Phys. 18 673
[15] Ariapour M and Babaee S T 2020 J. Magn. Magn. Mater. 510 166922
[16] Bandurin D A, Tyurnina A V, Yu G L, Mishchenko A, Zólyomi V, Morozov S V, Krishna Kumar R, Gorbachev R V, Kudrynskyi Z R, Pezzini S, Kovalyuk Z D, Zeitler U, Novoselov K S, Patanè A, Eaves L, Grigorieva I V, Fal’ko V I, Geim A K and Cao Y 2017 Nat. Nanotechnol. 12 223
[17] Demirci S, Avazlı N, Durgun E and Cahangirov S 2017 Phys. Rev. B 95 115409
[18] Kibirev I A, Matetskiy A V, Zotov A V and Saranin A A 2018 Appl. Phys. Lett. 112 191602
[19] Hu T, Zhou J and Dong J 2017 Phys. Chem. Chem. Phys. 19 21722
[20] Zhou M, Zhang R, Sun J, Lou W K, Zhang D, Yang W and Chang K 2017 Phys. Rev. B 96 155430
[21] Skinner B 2016 Phys. Rev. B 93 235110
[22] Xiao X B, Ye Q, Liu Z F, Wu Q P, Li Y and Ai G P 2019 Nanoscale Res. Lett. 14 322
[23] Ye Q, Tang S X, Du Y, Liu Z F, Wu Q P and Xiao X B 2024 J. Phys.: Condens. Matter 36 365501
[24] Nurhuda M, Nugraha A R T, Hanna M Y, Suprayoga E and Hasde E H 2020 Adv. Nat. Sci: Nanosci. Nanotechnol. 11 015012
[25] Seixas L, Rodin A S, Carvalho A and Neto A H C 2016 Phys. Rev. Lett. 116 206803
[26] Ghobadi N and Rezavand A 2022 Mater. Sci. Semicond. Process. 152 107061
[27] Cao T, Li Z and Louie S G 2015 Phys. Rev. Lett. 114 236602
[28] Wickramaratne D, Zahid F and Lake R K 2015 J. Appl. Phys. 118 075101
[29] Ge X J, Qin D, Yao K L and Lü J T 2017 J. Phys. D: Appl. Phys. 50 405301
[30] Houssa M, Meng R, Iordanidou K, Pourtoi G, Afanas’ev V V and Stesmans A 2021 J. Comput. Electron. 20 88
[31] Heremans J P, Jovovic V, Toberer E S, Saramat A, Kurosaki K, Charoenphakdee A, Yamanaka S and Snyder G J 2008 Science 321 554
[32] Zólyomi V, Drummond N D and Fal’ko V I 2014 Phys. Rev. B 89 205416
[33] Zhou M, Zhang D, Yu S, Huang Z, Chen Y, YangWand Chang K 2019 Phys. Rev. B 99 155402
[34] Zhou M, Yu S, Yang W, Lou W K, Cheng F, Zhang D and Chang K 2019 Phys. Rev. B 100 245409
[35] Li Y Q, Chen X R, Luo W, Zhou T and Chen W 2022 Europhys. Lett. 137 36003
[36] Griffiths D J 2016 Introduction to Quantum Mechanics (Cambridge University Press)
[37] Cheianov V V, Fal’ko V I and Altshuler B L 2007 Science 315 1252
[38] Lee G H, Park G H and Lee H J 2015 Nat. Phys. 11 925
[39] Zhou M 2021 Phys. Rev. B 103 155429
[40] Ruhl J 2015 Quantum Mechanics with a Quartic Dispersion Law, Graduate Masters Theses 339 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
