Fragile Topology in Line-Graph Lattices with 2, 3, or 4 Gapped Flat Bands

Christie Chiu, Da‐Shuai Ma, Zhida Song, B. Andrei Bernevig, Andrew Houck

Type: Preprint

Publication Date: 2020-10-22

Citations: 1

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Supersymmetry on the lattice: Geometry, Topology, and Spin Liquids	2022	Krishanu Roychowdhury Jan Attig Simon Trebst Michael J. Lawler
+ PDF Chat	Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics	2019	Alicia J. Kollár Mattias Fitzpatrick Peter Sarnak Andrew Houck
+	Orbital design of flat bands in non-line-graph lattices via line-graph wave functions	2022	Hang Liu Gurjyot Sethi Sheng Meng Feng Liu
+ PDF Chat	General Construction and Topological Classification of All Magnetic and Non-Magnetic Flat Bands	2021	Dumitru Călugăru Aaron Chew Luis Elcoro Nicolas Regnault Zhida Song B. Andrei Bernevig
+ PDF Chat	Strain induced topological phase transitions in split and line graphs of bipartite lattices featuring flat bands	2025	Shivam Sharma Amartya Banerjee
+ PDF Chat	Disconnected elementary band representations, fragile topology, and Wilson loops as topological indices: An example on the triangular lattice	2019	Barry Bradlyn Zhijun Wang Jennifer Cano B. Andrei Bernevig
+ PDF Chat	Fragile Topology and Wannier Obstructions	2018	Hoi Chun Po Haruki Watanabe Ashvin Vishwanath
+ PDF Chat	TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS	2013	Emil J. Bergholtz Zhao Liu
+ PDF Chat	Band connectivity for topological quantum chemistry: Band structures as a graph theory problem	2018	Barry Bradlyn Luis Elcoro Maia G. Vergniory Jennifer Cano Zhijun Wang Claudia Felser M. I. Aroyo B. Andrei Bernevig
+ PDF Chat	Line-graph-lattice crystal structures of stoichiometric materials	2022	Christie Chiu Annette N. Carroll Nicolas Regnault Andrew Houck
+ PDF Chat	Local invariants identify topology in metals and gapless systems	2022	Alexander Cerjan Terry A. Loring
+ PDF Chat	Designing Three-Dimensional Flat Bands in Nodal-Line Semimetals	2021	Alexander Lau Timo Hyart Carmine Autieri Anffany Chen Dmitry I. Pikulin
+	Hidden mechanism for realizing flat bands: Embedding Lieb, kagome, and checkerboard lattices in other structures	2019	Chi‐Cheng Lee Antoine Fleurence Yukiko Yamada‐Takamura Taisuke Ozaki
+ PDF Chat	Spin-Orbit-Induced Topological Flat Bands in Line and Split Graphs of Bipartite Lattices	2020	Da‐Shuai Ma Yuanfeng Xu Christie Chiu Nicolas Regnault Andrew Houck Zhida Song B. Andrei Bernevig
+	Homotopy, Symmetry, and Non-Hermitian Band Topology	2023	Kang Yang Zhi Li J. Lukas K. König Lukas Rødland Marcus Stålhammar Emil J. Bergholtz
+ PDF Chat	Hidden mechanism for embedding the flat bands of Lieb, kagome, and checkerboard lattices in other structures	2019	Chi‐Cheng Lee Antoine Fleurence Yukiko Yamada‐Takamura Taisuke Ozaki
+	Topological phenomena at topological defects	2022	Zhi‐Kang Lin Qiang Wang Yang Liu Haoran Xue Baile Zhang Y. D. Chong Jianhua Jiang
+ PDF Chat	Probing fragile topology with a screw dislocation	2024	Ying Wu Zhi‐Kang Lin Yating Yang Zhida Song Feng Li Jianhua Jiang
+ PDF Chat	Flat-band generator in two dimensions	2021	Wulayimu Maimaiti Alexei Andreanov Sergej Flach
+ PDF Chat	Fragile Phases as Affine Monoids: Classification and Material Examples	2020	Zhida Song Luis Elcoro Yuanfeng Xu Nicolas Regnault B. Andrei Bernevig

Works That Cite This (1)

Action	Title	Year	Authors
+	Robust Flat Bands with Tunable Energies in Honeycomb Superlattices	2020	Zihao Qi Eric Bobrow Yi Li

Works Cited by This (0)

Action	Title	Year	Authors