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扶手椅型石墨烯介观环中的持续电流
引用本文:代楠,邓文基. 扶手椅型石墨烯介观环中的持续电流[J]. 物理学报, 2015, 64(1): 17302-017302. DOI: 10.7498/aps.64.017302
作者姓名:代楠  邓文基
作者单位:华南理工大学物理系, 广州 510641
基金项目:国家自然科学基金,中央高校基本科研业务费专项基金(批准号:2014ZG0044)资助的课题.* Project supported by the National Natural Science Foundation of China,the Fundamental Research Funds for the Central Universities
摘    要:
在紧束缚近似下, 解析求解了扶手椅型边界石墨烯介观环的能量本征值问题, 计算和讨论了不同大小尺寸的介观环中持续电流随Aharonov-Bohm (A-B)磁通的变化, 并证明了能级和持续电流关于磁通变化的周期性和特殊对称性. 研究表明, 持续电流显著地依赖于介观环的几何结构; 零能量附近的能级可以承载较大的持续电流, 而远离零能量的其他能级对持续电流的贡献很小.

关 键 词:石墨烯介观环  持续电流  推广的Bloch定理
收稿时间:2014-07-29

Persistent currents in mesoscopic graphene rings with armchair edges
Dai Nan,Deng Wen-Ji. Persistent currents in mesoscopic graphene rings with armchair edges[J]. Acta Physica Sinica, 2015, 64(1): 17302-017302. DOI: 10.7498/aps.64.017302
Authors:Dai Nan  Deng Wen-Ji
Affiliation:Department of physics, South China University of Technology, Guangzhou 510641, China
Abstract:
Based on the tight-binding model, the energy spectrum and persistent currents of mesoscopic graphene rings with armchair edges are studied analytically and numerically. Characters of the persistent currents changing with Aharonov-Bohm (A-B) magnetic flux in rings in different geometry are investigated in datail. The periodicity and special symmetry of energy spectrum and persistent currents changing with the magnetic flux are revealed. It is demonstrated that the persistent currents are determined by the geometric structures of the rings; the quantum states with small eigen-energies may carry much larger currents than those quantum states with eigen-energies far away from zero.
Keywords:mesoscopic graphene ring  persistent currents  generalized Bloch theorem
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