The electronic properties of a one-dimensional hierarchical system are studied using a new type of tight-binding model with a hierarchical array of hopping-matrix elements. By means of a renormalization-group approach the energy spectrum and wave functions are obtained. The spectrum constitutes a Cantor set whose global scaling properties are calculated. A multifractal analysis of the wave functions at the center and at the edge of the spectrum is performed. The relevance of the present work to other models is discussed. © 1987 The American Physical Society.
Roman, H. (1987). Electronic properties of a one-dimensional hierarchical system. PHYSICAL REVIEW. B, CONDENSED MATTER, 36(13), 7173-7176 [10.1103/PhysRevB.36.7173].
Electronic properties of a one-dimensional hierarchical system
Roman H. E.
1987
Abstract
The electronic properties of a one-dimensional hierarchical system are studied using a new type of tight-binding model with a hierarchical array of hopping-matrix elements. By means of a renormalization-group approach the energy spectrum and wave functions are obtained. The spectrum constitutes a Cantor set whose global scaling properties are calculated. A multifractal analysis of the wave functions at the center and at the edge of the spectrum is performed. The relevance of the present work to other models is discussed. © 1987 The American Physical Society.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
