TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.046
TI  - Flat bands and compact localised states: A Carrollian roadmap
PY  - 2025/08/19
UR  - https://www.scipost.org/SciPostPhys.19.2.046
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 046
A1  - Ara, Nisa
AU  - Banerjee, Aritra
AU  - Basu, Rudranil
AU  - Krishnan, Bhagya
AB  - We show how Carrollian symmetries become important in the construction of one-dimensional fermionic systems with all flat-band spectra from first principles. The key ingredient of this construction is the identification of Compact Localised States (CLSs), which appear naturally by demanding supertranslation invariance of the system. We use CLS basis states, with inherent ultra-local correlations, to write down an interacting theory which shows a non-trivial phase structure and an emergent Carroll conformal symmetry at the gapless points. We analyze this theory in detail for both zero and finite chemical potential.
ER  -

@Article{10.21468/SciPostPhys.19.2.046,
	title={{Flat bands and compact localised states: A Carrollian roadmap}},
	author={Nisa Ara and Aritra Banerjee and Rudranil Basu and Bhagya Krishnan},
	journal={SciPost Phys.},
	volume={19},
	pages={046},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.046},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.046},
}