Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-12-06
Physica E 40 (2008) 1991
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Conference proceedings. Accepted for publication in Physica E
Scientific paper
10.1016/j.physe.2007.09.042
A mesoscopic conducting ring pierced by magnetic flux is known to support the persistent electron current. Here we propose possibility of the persistent current in the ring made of the perfect crystalline insulator. We consider a ring-shaped lattice of one-dimensional "atoms" with a single energy level. We express the Bloch states in the lattice as a linear combination of atomic orbitals. The discrete energy level splits into the energy band which serves as a simple model of the valence band. We show that the insulating ring (with the valence band fully filled by electrons) supports a nonzero persistent current, because each atomic orbital overlaps with its own tail when making one loop around the ring. In the tight-binding limit only the neighboring orbitals overlap. In that limit the persistent current at full filling becomes zero which is a standard result.
Gendiar Andrej
Mosko Martin
Mošková Antonia
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