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arXiv 1402.0941cond-mat.mes-hallcond-mat.str-elhep-th
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Dirac锥度规与单层石墨烯中自旋连接的起源

Dirac Cone Metric and the Origin of the Spin Connections in Monolayer Graphene

Bo Yang

摘要:

我们表明,调制的跳跃振幅在蜂窝晶格的单层石墨烯唯一定义了一个度量,对应于狄拉克锥的形状。这个有效度规场的自旋联系可以从微观紧束缚哈密顿量精确地得到,完成了亚晶格赝自旋在具有波纹和应变场的单层石墨烯中的运动与实自旋$1/2$费米子在弯曲空间中的运动之间的类比。由亚晶格赝自旋所看到的有效度规不同于由石墨烯单层的二维流形所定义的真实空间度规。对于单模有效度规,精确计算了微观模型中有效规范场的所有相关项。

英文摘要:

We show that the modulation of the hopping amplitudes in the honeycomb lattice of the monolayer graphene uniquely defines a metric which corresponds to the shape of the Dirac cone. The spin connection of this effective metric field can be obtained from the microscopic tight-binding Hamiltonian exactly, completing the analogy between the sublattice pseudospin travelling in the monolayer graphene with ripples and strain fields, and the real spin $1/2$ fermion travelling in a curved space. The effective metric as seen by the sublattice pseudospin is different from the real space metric as defined by the two-dimensional manifold of the graphene monolayer. All relevant terms of the effective gauge field from the microscopic model is calculated exactly for a unimodular effective metric.

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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