A multifractal analysis of wave functions in one-dimensional tight-binding systems with off-diagonal disorder is performed for eigenenergies near and at the center of the band. Numerical and analytical calculations for the latter state indicate the absence of multifractal properties for the space fluctuations of the corresponding probability distribution in those systems. The generalized Lyapunov exponents for the state at E=0 are obtained exactly. © 1988 The American Physical Society.
Roman, H. (1988). Multifractal analysis of eigenstates in systems with off-diagonal disorder. PHYSICAL REVIEW. B, CONDENSED MATTER, 38(4), 2948-2951 [10.1103/PhysRevB.38.2948].
Multifractal analysis of eigenstates in systems with off-diagonal disorder
Roman H. E.
1988
Abstract
A multifractal analysis of wave functions in one-dimensional tight-binding systems with off-diagonal disorder is performed for eigenenergies near and at the center of the band. Numerical and analytical calculations for the latter state indicate the absence of multifractal properties for the space fluctuations of the corresponding probability distribution in those systems. The generalized Lyapunov exponents for the state at E=0 are obtained exactly. © 1988 The American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.