| Autor: |
Ryu, Jung-Wan, Andreanov, Alexei, Chul Park, Hee, Han, Jae-Ho |
| Předmět: |
|
| Zdroj: |
Journal of Physics A: Mathematical & Theoretical; 12/6/2024, Vol. 57 Issue 49, p1-14, 14p |
| Abstrakt: |
We derive symmetry-based conditions for tight-binding Hamiltonians with flatbands to have compact localized eigenstates (CLS) occupying a single unit cell. The conditions rely on unitary operators commuting with the Hamiltonian and are associated with local symmetries that ensure the existence of orthogonal compact localized states and a flatband. We also demonstrate the inverse: orthogonal flatbands, whose CLS can be made to occupy a single unit cell, always have associated local symmetries that satisfy our conditions.We illustrate our analytical result with several model Hamiltonians with given local symmetries, including examples with finite-range hopping and higher-dimensional ones. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
