Abstract
Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study the robustness of this localization to disorder in different classes of flat band lattices in one and two dimensions. Depending on the flat band class, the flat band states can either be robust, preserving their strong localization for weak disorder W, or they are destroyed and acquire large localization lengths ξ that diverge with a variety of unconventional exponents ν, ξ ~ 1 /Wν.
| Original language | English |
|---|---|
| Article number | 1 |
| Journal | European Physical Journal B |
| Volume | 90 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1 2017 |
Keywords
- Solid State and Materials
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Fingerprint Dive into the research topics of 'Localization of weakly disordered flat band states'. Together they form a unique fingerprint.
Cite this
Leykam, D., Bodyfelt, J. D., Desyatnikov, A. S., & Flach, S. (2017). Localization of weakly disordered flat band states. European Physical Journal B, 90(1), [1]. https://doi.org/10.1140/epjb/e2016-70551-2