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首页> 外文期刊>Physical review >Effective medium approach to electron waves: Graphene superlattices
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Effective medium approach to electron waves: Graphene superlattices

机译：有效的电子波介质方法：石墨烯超晶格

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摘要

We develop an effective medium approach to characterize the propagation of matter waves in periodic structures, such as graphene or semiconductor superlattices. It is proven that the time evolution of the states that are not more localized in space than the characteristic period of the structure can be described exactly through an effective Hamiltonian, and that the electronic band structure of the system can be exactly determined from the effective Hamiltonian. As an illustration of the application of the method, we characterize the mesoscopic response of graphene superlattices. It is shown that these structures may be described using simply two effective parameters: a dispersive potential, and an anisotropy tensor that characterizes the pseudospin. Our model predicts that a graphene superlattice characterized by an indefinite anisotropy tensor-such that the eigenvalues of the tensor have opposite signs-may permit the perfect tunneling of all the stationary states with a specific value of the energy when it is paired with a dual graphene superlattice with a positive definite anisotropy tensor.
机译：我们开发了一种有效的介质方法来表征物质波在周期性结构（例如石墨烯或半导体超晶格）中的传播。事实证明，通过有效的哈密顿量可以准确地描述空间中状态不超过结构特征周期的状态的时间演化，并且可以通过有效的哈密顿量精确地确定系统的电子能带结构。 。作为该方法应用的说明，我们表征了石墨烯超晶格的介观响应。结果表明，仅使用两个有效参数即可描述这些结构：色散势和表征伪自旋的各向异性张量。我们的模型预测，以不确定的张量为特征的石墨烯超晶格（即张量的本征值具有相反的符号）可能在与双石墨烯配对时允许特定能量的理想状态下的所有静态稳态隧穿具有正定各向异性张量的超晶格。

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