Optical absorption of biased bilayer graphene due to electron–phonon coupling and longitudinal magnetic field

IF 2.9 3区物理与天体物理 Q3 NANOSCIENCE & NANOTECHNOLOGY

Physica E-low-dimensional Systems & Nanostructures Pub Date : 2025-05-05 DOI:10.1016/j.physe.2025.116276

Hamed Rezania , Farshad Azizi

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Abstract

Electronic and optical properties of both simple and bernal stacked bilayer graphenes taking into account the effects of interaction between electrons and Einstein phonons have been addressed. Also the magnetic field is applied perpendicular to the plane of bilayer graphene. We study the frequency dependence of absorption rate of electromagnetic wave in bilayer graphene due to magnetic field strength and electron–phonon coupling. Green’s function method has been implemented to obtain electronic properties of the system in the context of Holstein model Hamiltonian. One loop electronic self-energy of the model Hamiltonian has been obtained in order to find interacting electronic Green’s function. Optical absorption rate of electromagnetic wave in bilayer graphene due to electron–phonon coupling can be readily found using interacting Green’s function based on Kubo formula. Our results show turning on electron–phonon coupling leads to reduction of band gap in density of states of bernal stacked bilayer graphene. Also a peak appears in frequency dependence of optical absorption rate of bernal stacked bilayer graphene due to electron–phonon coupling and magnetic field. The Drude wight in absorption rate of electromagnetic wave increases with magnetic field with increase of magnetic field strength for stacking types of bilayer graphene.

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电子-声子耦合和纵向磁场作用下偏置双层石墨烯的光吸收

考虑到电子和爱因斯坦声子之间相互作用的影响，讨论了简单和普通堆叠双层石墨烯的电子和光学性质。磁场也垂直于双层石墨烯的平面施加。研究了磁场强度和电子-声子耦合对双层石墨烯中电磁波吸收率的频率依赖性。在霍尔斯坦模型哈密顿量下，采用格林函数法获得系统的电子性质。为了寻找相互作用的电子格林函数，得到了模型哈密顿量的一环电子自能。利用基于Kubo公式的相互作用格林函数，可以很容易地求出电子-声子耦合作用下双层石墨烯中电磁波的光吸收率。我们的研究结果表明，打开电子-声子耦合导致了石墨烯双层叠态密度带隙的减小。此外，由于电子-声子耦合和磁场的作用，双层石墨烯的光吸收率的频率依赖性也出现了一个峰值。对于两层石墨烯的堆叠类型，电磁波吸收率中的德鲁德重量随磁场强度的增加而增加。

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来源期刊

Physica E-low-dimensional Systems & Nanostructures 物理-纳米科技

CiteScore

7.30

自引率

6.10%

发文量

356

审稿时长

65 days

期刊介绍： Physica E: Low-dimensional systems and nanostructures contains papers and invited review articles on the fundamental and applied aspects of physics in low-dimensional electron systems, in semiconductor heterostructures, oxide interfaces, quantum wells and superlattices, quantum wires and dots, novel quantum states of matter such as topological insulators, and Weyl semimetals. Both theoretical and experimental contributions are invited. Topics suitable for publication in this journal include spin related phenomena, optical and transport properties, many-body effects, integer and fractional quantum Hall effects, quantum spin Hall effect, single electron effects and devices, Majorana fermions, and other novel phenomena. Keywords: • topological insulators/superconductors, majorana fermions, Wyel semimetals; • quantum and neuromorphic computing/quantum information physics and devices based on low dimensional systems; • layered superconductivity, low dimensional systems with superconducting proximity effect; • 2D materials such as transition metal dichalcogenides; • oxide heterostructures including ZnO, SrTiO3 etc; • carbon nanostructures (graphene, carbon nanotubes, diamond NV center, etc.) • quantum wells and superlattices; • quantum Hall effect, quantum spin Hall effect, quantum anomalous Hall effect; • optical- and phonons-related phenomena; • magnetic-semiconductor structures; • charge/spin-, magnon-, skyrmion-, Cooper pair- and majorana fermion- transport and tunneling; • ultra-fast nonlinear optical phenomena; • novel devices and applications (such as high performance sensor, solar cell, etc); • novel growth and fabrication techniques for nanostructures