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arXiv 2307.03392cond-mat.mes-hall
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石墨烯非线性光电导中弛豫行为的微观分析

Microscopic analysis of relaxation behavior in nonlinear optical conductivity of graphene

Bristi Ghosh, Sushanta Dattagupta, Malay Bandyopadhyay

AI总结:

本文通过自旋-玻色子模型和量子主方程,研究了石墨烯在量子浴中的非线性带间光电导与弛豫行为,揭示了由单一无量纲参数表征的布居数反转和带间相干性,并可用于掺杂和带隙石墨烯的有限温度计算。

摘要:

我们在此提出一个一般性公式,用于描述石墨烯在由声子和电子组成的量子浴存在下的非线性区带间动力学光电导。我们的主要关注点是受振荡电场扰动的石墨烯量子固体的弛豫行为。考虑光学频率范围以及相当大的场振幅,可以通过建立与哈密顿量相关的密度算符的量子主方程来观察非线性响应,该哈密顿量被封装为耗散量子统计力学中的自旋-玻色子模型形式。将价带态和导带态映射为泡利自旋算符的本征态,并利用旋转波近似略去非共振项,可以求解导带和价带平均布居数以及它们之间混合矩阵元的速率方程。我们的结果揭示了非线性稳态区的布居数反转和带间相干性。它由一个单一的无量纲参数表征,该参数正比于入射场强度,反比于光学频率。我们的方法还能够计算有限温度下掺杂和带隙石墨烯的非线性带间光电导。详细考察了不同声子和电子浴谱的影响。尽管我们的一般性公式可以处理双带系统的多种非平衡响应,但它也为非线性光电导的唯象建模提供了联系。

英文摘要:

We present here a general formulation for the interband dynamical optical conductivity in the nonlinear regime of graphene in the presence of a quantum bath comprising phonons and electrons. Our main focus is the relaxation behavior of the quantum solid of graphene perturbed by an oscillatory electric field. Considering the optical range of the frequency and a considerable amount of the amplitude of the field, one can observe a nonlinear response by formulating a quantum master equation of the density operator associated with the Hamiltonian encapsulated in the form of a spin-Boson model of dissipative quantum statistical mechanics. Mapping the valence and conduction states as the eigenstates of the Pauli spin operators and utilizing the rotating wave approximation to omit off-resonant terms, one can solve the rate equation for the mean population of the conduction and valence states and the mixing matrix elements between them. Our results reveal the nonlinear steady-state regime's population inversion and interband coherence. It is characterized by a single dimensionless parameter that is directly proportional to the incident field strength and inversely proportional to the optical frequency. Our method is also capable of calculating the nonlinear interband optical conductivity of doped and gapped graphene at finite temperatures. The effects of different bath spectra for phonons and electrons are examined in detail. Although our general formulation can address a variety of nonequilibrium response of the two-band system, it also facilitates a connection with phenomenological modeling of nonlinear optical conductivity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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