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Electronic transport in the Koch fractal lattice

1998; American Physical Society; Volume: 57; Issue: 13 Linguagem: Inglês

10.1103/physrevb.57.7661

1095-3795

Enrique Maciá,

Mathematical Dynamics and Fractals

In this work we extend the algebraic approach introduced in the context of general Fibonacci systems [E. Maci\'a and F. Dom\'{\i}nguez-Adame, Phys. Rev. Lett. 76, 2957 (1996)] to analytically study the transmission coefficient of a subset of states in the fractal Koch lattice. We report on the existence of extended states whose transmission coefficients periodically oscillate as the Koch curve approaches its fractal limit.