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arXiv 1507.03381cond-mat.mes-hall
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非平衡介观系统玻色化的散射理论方法

Scattering theory approach to bosonization of non-equilibrium mesoscopic systems

Eugene V. Sukhorukov

摘要:

在马库斯·布蒂克对介观物理学的众多杰出贡献中,散射理论对电子输运和噪声的研究以其优雅、简单、普适性和在该领域工作的理论家中的流行而脱颖而出。它为从理论上研究远离平衡态的开放电子系统提供了一种有效的方法。然而,这种方法仅限于电子之间的相互作用可以忽略或微扰考虑的情况。幸运的是,这是一个广泛的金属系统,这是通常由费米液体理论描述的情况。然而,存在另一类广泛的电子系统的减少维度,所谓的Tomonaga-Luttinger液体,其中的相互作用是有效的强,即使在低能量也不能忽略。然而,强相互作用可以准确地使用玻色子化技术,它利用了自由玻色子字符的集体激发在这些系统中。在本工作中,我们利用这一事实,以发展的散射理论方法玻色化的开放准一维电子系统远离平衡。

英文摘要:

Between many prominent contributions of Markus Buttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists working in this field. It offers an efficient way to theoretically investigate open electron systems far from equilibrium. However, this method is limited to situations where interactions between electrons can be ignored, or considered perturbatively. Fortunately, this is the case in a broad class of metallic systems, which are commonly described by the Fermi liquid theory. Yet, there exist another broad class of electron systems of reduced dimensionality, the so-called Tomonaga-Luttinger liquids, where interactions are effectively strong and cannot be neglected even at low energies. Nevertheless, strong interactions can be accounted exactly using the bosonization technique, which utilizes the free-bosonic character of collective excitations in these systems. In the present work, we use this fact in order to develop the scattering theory approach to the bosonization of open quasi-one dimensional electron systems far from equilibrium.

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