Band spectrum for an electron on a Sierpinski gasket in a magnetic field
1987; Elsevier BV; Volume: 64; Issue: 10 Linguagem: Inglês
10.1016/0038-1098(87)90628-4
ISSN1879-2766
AutoresJean-Michel Ghez, Yin Yu Wang, R. Rammal, B. Pannetier, Jean Bellissard,
Tópico(s)Atomic and Subatomic Physics Research
ResumoWe consider a quantum charged particle on a fractal lattice given by a Sierpinski gasket, submitted to a uniform magnetic field, in a tight binding approximation. Its band spectrum is numerically computed and exhibits a fractal structure. The groundstate energy is also compared to the superconductor transition curve measured for a Sierpinski lattice of superconducting material.
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