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 |
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Keywords
- Solid State and Materials
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Cite this
Localization of weakly disordered flat band states. / Leykam, Daniel; Bodyfelt, Joshua D.; Desyatnikov, Anton S.; Flach, Sergej.
In: European Physical Journal B, Vol. 90, No. 1, 1, 01.01.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Localization of weakly disordered flat band states
AU - Leykam, Daniel
AU - Bodyfelt, Joshua D.
AU - Desyatnikov, Anton S.
AU - Flach, Sergej
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
KW - Solid State and Materials
UR - http://www.scopus.com/inward/record.url?scp=85008929288&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85008929288&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2016-70551-2
DO - 10.1140/epjb/e2016-70551-2
M3 - Article
AN - SCOPUS:85008929288
VL - 90
JO - European Physical Journal B
JF - European Physical Journal B
SN - 1434-6028
IS - 1
M1 - 1
ER -