{'fraction_non_alphanumeric': 0.014847809948032665, 'fraction_numerical': 0.0, 'mean_word_length': 5.607843137254902, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Conductance fluctuations in mesoscopic three-dimensional multiply connected normal-wire networks.

We calculate the two-probe magnetoconductance and magnetization of mesoscopic three-dimensional disordered multiply connected normal-wire networks. Our results are applicable to mesoscopic granular metals and disordered solids in the strongly localized regime. The conductance fluctuations for individual samples are analyzed and are found to be smoothed out by increasing random potential disorder in the component Hamiltonians of the network. The corresponding power spectra are exponentially decaying as a function of loop areas in the network, with an exponent that increases with potential disorder. In the case of annular networks the power spectra decrease exponentially except in the regions corresponding to the Aharonov-Bohm loop area. These results are explained by a Feynman path analysis, and we show that increasing the potential disorder in the components, which decreases the localization length, decreases the contribution of higher-order scattering paths in the network. The exponential decay of the power spectra is therefore directly related to the localization length of the sample. These simulations make use of a quantum network model that allows the calculation of transport coefficients for a network of arbitrary topology.