Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-01-28
J. Phys. Soc. Jpn. 77, 054703 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, 5 figures
Scientific paper
10.1143/JPSJ.77.054703
The magnetism by the edge states in graphene is investigated theoretically. An instability of the pseudo-spin order of the edge states induces ferrimagnetic order in the presence of the Coulomb interaction. Although the next nearest-neighbor hopping can stabilize the pseudo-spin order, a strong Coulomb interaction makes the pseudo-spin unpolarized and real spin polarized. The magnetism of the edge states makes two peaks of the density of states in the conduction and valence energy bands near the Fermi point. Using a continuous model of the Weyl equation, we show that the edge-induced gauge field and the spin dependent mass terms are keys to make the magnetism of the edge states. A relationship between the magnetism of the edge states and the parity anomaly is discussed.
Saito Riichiro
Sasaki Ken-ichi
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