What is it about?
In a quantum lattice with a band structure, flat energy bands can arise. This macroscopic degeneracy comes with compact localized states. Tiny perturbations destroy the flatness and may lead to novel quantum phases. We apply quasiperiodic perturbations. Among our key findings is the existence of tunable energy regions hosting critical (multifractal) eigenstates.
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Why is it important?
Our research reveals a novel tunable transition between critical and insulating phases similar to the well known tunable transition between metallic and insulating phases. The novel tunablity offers prospects for generating critical states in specific energy regions under various circumstances.
Read the Original
This page is a summary of: Critical state generators from perturbed flatbands, Chaos An Interdisciplinary Journal of Nonlinear Science, July 2023, American Institute of Physics, DOI: 10.1063/5.0153819.
You can read the full text:
Critical-to-insulator transitions and fractality edges in perturbed flat bands
The idea of critical states generators from perturbed flatbands started from our earlier publication. This article studies the impact of quasiperiodic perturbations on a particulat flatband system, revealing there exists a transition between critical and insulating phases.
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