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Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons

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Published on: July 14, 2021

Multifractal magnetoconductance fluctuations in mesoscopic systems.

N L Pessoa^1,2, A L R Barbosa³, G L Vasconcelos⁴

¹Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil.

Physical Review. E

|December 24, 2021

Summary

This study reveals that multifractality in magnetoconductance is enhanced in the quantum regime for mesoscopic systems. The parameter q of q-Gaussian distributions quantifies this multifractality, offering insights into magnetic field correlations.

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Area of Science:

Condensed Matter Physics
Quantum Transport Phenomena

Background:

Mesoscopic systems exhibit complex magnetoconductance fluctuations.
Understanding these fluctuations is crucial for developing quantum electronic devices.

Purpose of the Study:

To analyze the multifractal properties of magnetoconductance in disordered nanowires and ballistic chaotic billiards.
To investigate the influence of magnetic fields on these multifractal characteristics.

Main Methods:

Multifractal Detrended Fluctuation Analysis (MF-DFA) applied to magnetoconductance data.
Characterization of conductance increment distributions using q-Gaussian functions.

Main Results:

Multifractality is consistently observed in both mesoscopic systems studied.
The degree of multifractality intensifies in the quantum regime (few open channels).
Magnetic field-induced correlations are identified as the origin of enhanced multifractality.

Conclusions:

The parameter q of q-Gaussian fits serves as a quantitative measure of magnetoconductance multifractality.
This analysis provides a novel method for characterizing quantum transport in mesoscopic systems.