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arXiv 1408.6124cond-mat.mes-hall
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二维类石墨烯材料的拓扑学研究

On topological aspects of 2D graphene like materials

M. J. I. Khan, M. Kamran, S. Babar

摘要:

我们研究了具有曲率效应的石墨烯晶格。在弯曲时空中刻画了石墨烯多层膜的作用,有效狄拉克方程反映了曲率效应。磁场是导致几何变化的原因,这些变化被识别为石墨烯中的拓扑方面。通过改变石墨烯的几何形状,可以创建拓扑上不同的表面,其可以被标记为环面或球体。2D六边形曲面细分引起曲率效应,并且曲面细分平面被简化为具有亏格g=1的2-环面。

英文摘要:

We study the graphene lattice with a curvature effect. The action depicting multilayers of graphene is portrayed in curved spacetime and effective Dirac equation scopes the curvature effect. The magnetic field is responsible for the geometric variations and these changes are identified as topological aspects in graphene. By varying the geometry of the graphene one can create topologically distinct surfaces which could be remarked as torus or sphere. The 2D hexagonal tessellation induces a curvature effect and the tessellation plane is reduced to a 2-torus having genus g=1.

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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