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arXiv 1706.05545cond-mat.mes-hall
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磁场中石墨烯中库仑相互作用和集体激发的直接交换对偶性

Direct-exchange duality of the Coulomb interaction and collective excitations in graphene in a magnetic field

K. Shizuya

摘要:

在磁场中,二维电子系统具有猝灭的动能,可以产生多种多体关联现象,如相互作用驱动的新态和伴随的集体激发。在磁场中,与二维库仑相互作用有关的两体算符服从交叉关系,由此库仑相互作用也被转换为显性交换相互作用的形式。它示出,积极使用这种直接/交换对偶的相互作用允许一个开发,在单模近似的框架内,一个新的有效的算法处理广泛的一类集体激发。我们的算法的实用性证明了通过研究间和内朗道级集体激发在石墨烯和传统的电子系统的一些例子。

英文摘要:

In a magnetic field two-dimensional (2d) electron systems host, with quenched kinetic energy, a variety of many-body correlation phenomena, such as interaction-driven new states and associated collective excitations over them. In a magnetic field the two-body operators pertinent to the 2d Coulomb interaction obey a crossing relation, with which the Coulomb interaction is also cast into the form of manifest exchange interaction. It is shown that active use of this direct/exchange duality of the interaction allows one to develop, within the framework of the single-mode approximation, a new efficient algorithm for handling a wide class of collective excitations. The utility of our algorithm is demonstrated by studying some examples of inter- and intra-Landau-level collective excitations in graphene and in conventional electron systems.

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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