Journal
SOLID STATE COMMUNICATIONS
Volume 175, Issue -, Pages 51-61Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ssc.2013.09.023
Keywords
Graphene; Orbital diamagnetism; Theory
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Funding
- JSPS [24740193, 25107005]
- Grants-in-Aid for Scientific Research [24740193] Funding Source: KAKEN
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We study the orbital magnetism of graphene ribbons and graphene flakes with various shapes and edge configurations. The property is significantly different depending on the relative magnitude of the thermal broadening energy k(B)T to the characteristic level spacing epsilon(0) due to the quantum confinement. In the low-temperature regime where k(B)J << epsilon(0), the susceptibility as a function of Fermi energy rapidly changes between diamagnetism and paramagnetism in accordance with the discrete spectral structure due to the quantum confinement. In the high-temperature regime k(B)T >> epsilon(0), the oscillatory structures due to the finite-size effect are all gone leaving a single diamagnetic peak in the bulk limit, regardless of atomic configuration of the graphene nanostructures. The diamagnetic current circulates entirely over the graphene nanostructures in the low-temperature regime, reflecting the absence of characteristic length scale in the massless Dirac system. As temperature increases, the current gradually becomes to circulate only near the edge, with the characteristic depth of lambda(edge) = hv/2 pi k(B)T. (C) 2013 Elsevier Ltd. All rights reserved.
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