Flat Bands and Compact Localised States: A Carrollian roadmap
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909742371176448 |
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| author | Ara, Nisa Banerjee, Aritra Basu, Rudranil Krishnan, Bhagya |
| author_facet | Ara, Nisa Banerjee, Aritra Basu, Rudranil Krishnan, Bhagya |
| contents | 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 $\textit{supertranslation}$ invariance of the system. We use CLS basis states, with inherent $\textit{ultra-local}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18965 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flat Bands and Compact Localised States: A Carrollian roadmap Ara, Nisa Banerjee, Aritra Basu, Rudranil Krishnan, Bhagya High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics 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 $\textit{supertranslation}$ invariance of the system. We use CLS basis states, with inherent $\textit{ultra-local}$ 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. |
| title | Flat Bands and Compact Localised States: A Carrollian roadmap |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2412.18965 |