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arXiv 0909.1448cond-mat.mes-hallhep-thmath-phmath.MP
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石墨烯中束缚狄拉克费米子的非对易空间研究

A Noncommutative Space Approach to Confined Dirac Fermions in Graphene

Omer F. Dayi, Ahmed Jellal

摘要:

本文提出了一个包含非阿贝尔规范场的广义非对易坐标和动量代数。通过对包含电磁矢势和两个类自旋-轨道耦合项的规范场的该代数的二维实现,引入了非对易坐标系下的类Dirac-like哈密顿量.我们建立了相应的能谱,并由此导出了Shubnikov-de Haas振荡最大值处能级量子数与磁场的关系。通过调整非对易性参数θ在Shubnikov-de Haas振荡的最大值处的磁场的值,我们完成了实验观察到的石墨烯峰的朗道图。接受实验观察到的行为是由于载流子的限制,我们的结论是,我们的方法引入非对易坐标提供了另一种配方的限制无质量狄拉克费米子在石墨烯。

英文摘要:

A generalized algebra of noncommutative coordinates and momenta embracing non-Abelian gauge fields is proposed. Through a two-dimensional realization of this algebra for a gauge field including electromagnetic vector potential and two spin-orbit-like coupling terms, a Dirac-like Hamiltonian in noncommutative coordinates is introduced. We established the corresponding energy spectrum and from that we derived the relation between the energy level quantum number and the magnetic field at the maxima of Shubnikov-de Haas oscillations. By tuning the non-commutativity parameter θin terms of the values of magnetic field at the maxima of Shubnikov-de Haas oscillations we accomplished the experimentally observed Landau plot of the peaks for graphene. Accepting that the experimentally observed behavior is due to the confinement of carriers, we conclude that our method of introducing noncommutative coordinates provides another formulation of the confined massless Dirac fermions in graphene.

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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