176 citations · 563 across the 6 of their papers we have counts for
6 papers
Multifractal finite-size-scaling and universality at the Anderson transition
Alberto Rodriguez, Louella J. Vasquez, Keith Slevin +1
We describe a new multifractal finite size scaling (MFSS) procedure and its application to the Anderson localization-delocalization transition. MFSS permits the simultaneous estima…
Critical parameters from generalised multifractal analysis at the Anderson transition
Alberto Rodriguez, Louella J. Vasquez, Keith Slevin +1
We propose a generalization of multifractal analysis that is applicable to the critical regime of the Anderson localization-delocalization transition. The approach reveals that the…
Multifractal analysis with the probability density function at the three-dimensional Anderson transition
Alberto Rodriguez, Louella J. Vasquez, Rudolf A. Roemer
The probability density function (PDF) for critical wavefunction amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and t…
Optimisation of multifractal analysis using box-size scaling
Alberto Rodriguez, Louella J. Vasquez, Rudolf A. Roemer
We study various box-size scaling techniques to obtain the multifractal properties, in terms of the singularity spectrum f(alpha), of the critical eigenstates at the metal-insulato…
Multifractal analysis of the metal-insulator transition in the 3D Anderson model I: Symmetry relation under typical averaging
Louella J. Vasquez, Alberto Rodriguez, Rudolf A. Roemer
The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the three-dimensional Anderson model of localization is characterized by its associated…
Multifractal analysis of the metal-insulator transition in the 3D Anderson model II: Symmetry relation under ensemble averaging
Alberto Rodriguez, Louella J. Vasquez, Rudolf A. Roemer
We study the multifractal analysis (MFA) of electronic wavefunctions at the localisation-delocalisation transition in the 3D Anderson model for very large system sizes up to $240^3…