Multifractal magnetoconductance fluctuations in mesoscopic systems.

Autor: Pessoa NL; Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil.; Centro de Apoio à Pesquisa, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco, Brazil., Barbosa ALR; Departamento de Física, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco, Brazil., Vasconcelos GL; Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, Paraná, Brazil., Macedo AMS; Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2021 Nov; Vol. 104 (5-1), pp. 054129.
DOI: 10.1103/PhysRevE.104.054129
Abstrakt: We perform a multifractal detrended fluctuation analysis of the magnetoconductance data of two standard types of mesoscopic systems: a disordered nanowire and a ballistic chaotic billiard, with two different lattice structures. We observe in all cases that multifractality is generally present and that it becomes stronger in the quantum regime of conduction, i.e., when the number of open scattering channels is small. We argue that this behavior originates from correlations induced by the magnetic field, which can be characterized through the distribution of conductance increments in the corresponding "stochastic time series," with the magnetic field playing the role of a fictitious time. More specifically, we show that the distributions of conductance increments are well fitted by q Gaussians and that the value of the parameter q is a useful quantitative measure of multifractality in magnetoconductance fluctuations.
Databáze: MEDLINE