Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.
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On the criticality of the configuration-space statistical geometry
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.