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Emergent Multifractality in Power-law Decaying Eigenstates by Das, Adway Kumar; Ghosh, Anandamohan; Khaymovich, Ivan M. is a scholarly article available to read on EtoBox.

What is Emergent Multifractality in Power-law Decaying Eigenstates about?

Eigenstate multifractality is of significant interest with potential applications in various fields of quantum physics. Most of the previous studies concentrated on fine-tuned quantum models to realize multifractality which is generally believed to be a critical phenomenon and fragile to random perturbations. In this work, we propose a set of generic principles based on the power-law decay of the eigenstates which allow us to distinguish a fractal phase from a genuine multifractal phase. We demonstrate the above principles in a 1d tight-binding model with inhomogeneous nearest-neighbor hopping that can be mapped to the standard quantum harmonic oscillator via energy-coordinate duality. We analytically calculate the fractal dimensions and the spectrum of fractal dimensions which are in agreement with numerical simulations.

Author

Das, Adway Kumar; Ghosh, Anandamohan; Khaymovich, Ivan M.

Published

2025

Language

EN