Anomalous quantum scattering and transport of electrons with Mexican-hat band structure induced by electrical potential

doi:10.1088/1674-1056/adecfb

中国物理B ›› 2026, Vol. 35 ›› Issue (3): 37203-037203.doi: 10.1088/1674-1056/adecfb

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

收稿日期:2025-05-07 修回日期:2025-06-21 接受日期:2025-07-08 出版日期:2026-02-11 发布日期:2026-03-10
通讯作者: Xiao-Ying Zhou, Xian-Bo Xiao E-mail:xyzhou@hnust.edu.cn;20101034@jxutcm.edu.cn
基金资助:
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).

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

Received:2025-05-07 Revised:2025-06-21 Accepted:2025-07-08 Online:2026-02-11 Published:2026-03-10
Contact: Xiao-Ying Zhou, Xian-Bo Xiao E-mail:xyzhou@hnust.edu.cn;20101034@jxutcm.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: quantum scattering and transport, transfer matrix method, Mexican-hat dispersion

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.

Key words: quantum scattering and transport, transfer matrix method, Mexican-hat dispersion

中图分类号: (Theory of electronic transport; scattering mechanisms)

72.10.-d

72.20.Dp (General theory, scattering mechanisms) 73.23.-b (Electronic transport in mesoscopic systems)

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[J]. 中国物理B, 2026, 35(3): 37203-037203.

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Anomalous quantum scattering and transport of electrons with Mexican-hat band structure induced by electrical potential

Anomalous quantum scattering and transport of electrons with Mexican-hat band structure induced by electrical potential

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