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arXiv · 2611.01099

Anomalous response, re-emerging localization-transition and robust corner sates in self-similar peano fractal

Rhiddha Acharjee·Sayan Bhattacharya·Atanu Nandy·Debnarayan Jana
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Abstract

Anomalous spectral response from the non-interacting electrons on a peano fractal is recorded within tight-binding framework. It is observed that a minimal off-diagonal anisotropy can modulate the transport characteristics of the lattice. Drastic modification in the nature of the eigenstates has been validated through the workout of level spacing statistics. Further, a two-dimensional quasiperiodic Aubry-André and Harper variation in the overlap integral can invite re-entrant localization-delocalization transition for the self-similar model. This is associated with the possible existence of single-particle mobility edge in the energy landscape. Our results are corroborated by the evaluation of inverse participation ratio, fractal dimension and quantum dynamical response. The spectrum is shown to formulate a quantum butterfly pattern with the frequency of the modulation. Chiral symmetry protected edge states are found to be insensitive with respect to moderate diagonal disorder.

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Rhiddha Acharjee, Sayan Bhattacharya, Atanu Nandy, Debnarayan Jana. 2026-10-31. Anomalous response, re-emerging localization-transition and robust corner sates in self-similar peano fractal. https://arxiv.org/abs/2611.01099

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