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arXiv 2601.05970cond-mat.mes-hall
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选择性模式隐身与双层石墨烯传输中的相匹配谐振腔

Mode-selective cloaking and phase-matching cavity resonances in bilayer graphene transport

School of Physics, Xidian University(西安电子科技大学物理学院);IMDEA Nanoscience(IMDEA纳米科学研究所);College of Physics and Technology, Bohai University(渤海大学物理与信息技术学院)

Dan-Na Liu, Jun Zheng, Pierre A. Pantaleon

AI总结:

研究双层石墨烯中电静屏障的弹道电子传输,揭示传播和衰减通道在电静界面的耦合机制,展示相匹配腔体实现离散能量完美传输的原理。

摘要:

我们研究了AB堆叠双层石墨烯中电静屏障内的弹道电子传输,采用完整的四带框架。模式解析分析揭示了传播和衰减通道如何在电静界面耦合,以及通道选择性如何控制正入射时的传输。我们证明,由于单个内部模式在单个屏障内的相匹配,可以在离散能量处实现完美传输,而无需激活解耦通道。这种效应被解释为相匹配腔体,即由屏障内部的内部相位相干性形成的有效腔体,能够在没有真实束缚态和不打开额外传输通道的情况下,在离散能量处实现完美传输。对于单层和双层屏障结构,我们推导了传输的紧凑解析表达式,并确定了相应的共振条件。通过转移矩阵方法扩展分析至多层屏障结构,展示了由内部相匹配驱动的完美共振如何与由屏障间干涉产生的法布里-珀罗型共振共存。我们的结果为双层石墨烯屏障系统中的隧道抑制和共振辅助传输提供了统一的通道解析描述。

英文摘要:

We study ballistic electron transport through electrostatic barriers in AB-stacked bilayer graphene within a full four-band framework. A mode-resolved analysis reveals how propagating and evanescent channels couple across electrostatic interfaces and how channel selectivity governs transport at normal incidence. We show that perfect transmission can occur at discrete energies due to phase matching of a single internal mode within an individual barrier, without activating the decoupled channels. This effect is interpreted as a phase-matching cavity, namely, an effective cavity formed by internal phase coherence inside the barrier, which yields perfect transmission at discrete energies without true bound states and without opening additional transport channels. For single- and double-barrier geometries, we derive compact analytical expressions for the transmission and identify the corresponding resonance conditions. Extending the analysis to multibarrier structures using a transfer-matrix approach, we demonstrate how perfect resonances driven by internal phase matching coexist with Fabry-Perot-type resonances arising from interbarrier interference. Our results provide a unified, channel-resolved description of tunneling suppression and resonance-assisted transport in bilayer graphene barrier systems.

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