TY - JOUR
T1 - Singular orbital magnetism of graphene
AU - Koshino, Mikito
AU - Ando, Tsuneya
N1 - Funding Information:
This work was supported in part by Grant-in-Aid for Scientific Research on Priority Area “Carbon Nanotube Nanoelectronics”, by Grant-in-Aid for Scientific Research, by Global Center of Excellence Program at Tokyo Tech “Nanoscience and Quantum Physics” from Ministry of Education, Culture, Sports, Science and Technology Japan , and by JST-EPSRC Japan–UK Cooperative Programme Grant No. EP/H025804/1 .
PY - 2011/8
Y1 - 2011/8
N2 - The origin of the singular diamagnetic susceptibility at the Dirac point is probed through the study of effects of band-gap opening and spatially varying magnetic field. In the presence of a band gap, the susceptibility is nonzero only inside the band gap and exhibits a discrete jump at the band edges down to zero in the conduction and valence bands. The jump height is understood in terms of the pseudo-spin paramagnetism arising from valley degree of freedom. In spatially varying magnetic field with wave vector q, the susceptibility becomes nonzero only in a finite energy region containing the Dirac point, determined by q. This behavior is understood in terms of electronic states numerically calculated in periodic magnetic field.
AB - The origin of the singular diamagnetic susceptibility at the Dirac point is probed through the study of effects of band-gap opening and spatially varying magnetic field. In the presence of a band gap, the susceptibility is nonzero only inside the band gap and exhibits a discrete jump at the band edges down to zero in the conduction and valence bands. The jump height is understood in terms of the pseudo-spin paramagnetism arising from valley degree of freedom. In spatially varying magnetic field with wave vector q, the susceptibility becomes nonzero only in a finite energy region containing the Dirac point, determined by q. This behavior is understood in terms of electronic states numerically calculated in periodic magnetic field.
KW - A. Graphene
KW - D. Diamagnetic effects
KW - D. Electronic structure
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U2 - 10.1016/j.ssc.2011.05.012
DO - 10.1016/j.ssc.2011.05.012
M3 - Article
AN - SCOPUS:79960056327
SN - 0038-1098
VL - 151
SP - 1054
EP - 1060
JO - Solid State Communications
JF - Solid State Communications
IS - 16
ER -