Periodic electron oscillation in coupled two-dimensional lattices

doi:10.1088/1674-1056/acce93

中国物理B ›› 2023, Vol. 32 ›› Issue (7): 70306-070306.doi: 10.1088/1674-1056/acce93

Periodic electron oscillation in coupled two-dimensional lattices

Yan-Yan Lu(陆艳艳), Chao Wang(王超), Jin-Yi Jiang(将金益), Jie Liu(刘洁), and Jian-Xin Zhong(钟建新)^†

Hunan Key Laboratory of Micro-Nano Energy Materials and Devices, School of Physics and Optoelectronics, Xiangtan University, Hunan 411105, China

收稿日期:2023-03-27 修回日期:2023-04-18 接受日期:2023-04-20 出版日期:2023-06-15 发布日期:2023-07-05
通讯作者: Jian-Xin Zhong E-mail:jxzhong@xtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11874316), the National Basic Research Program of China (Grant No. 2015CB921103), and the International Visiting Faculty Program of Hunan Provincial Government, China.

Periodic electron oscillation in coupled two-dimensional lattices

Yan-Yan Lu(陆艳艳), Chao Wang(王超), Jin-Yi Jiang(将金益), Jie Liu(刘洁), and Jian-Xin Zhong(钟建新)^†

Hunan Key Laboratory of Micro-Nano Energy Materials and Devices, School of Physics and Optoelectronics, Xiangtan University, Hunan 411105, China

Received:2023-03-27 Revised:2023-04-18 Accepted:2023-04-20 Online:2023-06-15 Published:2023-07-05
Contact: Jian-Xin Zhong E-mail:jxzhong@xtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11874316), the National Basic Research Program of China (Grant No. 2015CB921103), and the International Visiting Faculty Program of Hunan Provincial Government, China.

摘要/Abstract

摘要： We study the time evolution of electron wavepacket in the coupled two-dimensional (2D) lattices with mirror symmetry, utilizing the tight-binding Hamiltonian framework. We show analytically that the wavepacket of an electron initially located on one atomic layer in the coupled 2D square lattices exhibits a periodic oscillation in both the transverse and longitudinal directions. The frequency of this oscillation is determined by the strength of the interlayer hopping. Additionally, we provide numerical evidence that a damped periodic oscillation occurs in the coupled 2D disordered lattices with degree of disorder W, with the decay time being inversely proportional to the square of W and the frequency change being proportional to the square of W, which is similar to the case in the coupled 1D disordered lattices. Our numerical results further confirm that the periodic and damped periodic electron oscillations are universal, independent of lattice geometry, as demonstrated in AA-stacked bilayer and tri-layer graphene systems. Unlike the Bloch oscillation driven by electric fields, the periodic oscillation induced by interlayer coupling does not require the application of an electric field, has an ultrafast periodicity much shorter than the electron decoherence time in real materials, and can be tuned by adjusting the interlayer coupling. Our findings pave the way for future observation of periodic electron oscillation in material systems at the atomic scale.

关键词: quantum diffusion, periodic oscillation, coupled systems, disorder, Anderson localization

Abstract: We study the time evolution of electron wavepacket in the coupled two-dimensional (2D) lattices with mirror symmetry, utilizing the tight-binding Hamiltonian framework. We show analytically that the wavepacket of an electron initially located on one atomic layer in the coupled 2D square lattices exhibits a periodic oscillation in both the transverse and longitudinal directions. The frequency of this oscillation is determined by the strength of the interlayer hopping. Additionally, we provide numerical evidence that a damped periodic oscillation occurs in the coupled 2D disordered lattices with degree of disorder W, with the decay time being inversely proportional to the square of W and the frequency change being proportional to the square of W, which is similar to the case in the coupled 1D disordered lattices. Our numerical results further confirm that the periodic and damped periodic electron oscillations are universal, independent of lattice geometry, as demonstrated in AA-stacked bilayer and tri-layer graphene systems. Unlike the Bloch oscillation driven by electric fields, the periodic oscillation induced by interlayer coupling does not require the application of an electric field, has an ultrafast periodicity much shorter than the electron decoherence time in real materials, and can be tuned by adjusting the interlayer coupling. Our findings pave the way for future observation of periodic electron oscillation in material systems at the atomic scale.

Key words: quantum diffusion, periodic oscillation, coupled systems, disorder, Anderson localization

中图分类号: (Quantum mechanics)

03.65.-w

71.23.-k (Electronic structure of disordered solids) 72.10.-d (Theory of electronic transport; scattering mechanisms) 72.80.Ng (Disordered solids)

Yan-Yan Lu(陆艳艳), Chao Wang(王超), Jin-Yi Jiang(将金益), Jie Liu(刘洁), and Jian-Xin Zhong(钟建新). Periodic electron oscillation in coupled two-dimensional lattices[J]. 中国物理B, 2023, 32(7): 70306-070306.

Yan-Yan Lu(陆艳艳), Chao Wang(王超), Jin-Yi Jiang(将金益), Jie Liu(刘洁), and Jian-Xin Zhong(钟建新). Periodic electron oscillation in coupled two-dimensional lattices[J]. Chin. Phys. B, 2023, 32(7): 70306-070306.

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Periodic electron oscillation in coupled two-dimensional lattices

Periodic electron oscillation in coupled two-dimensional lattices

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