Building flat-band lattice models from Gram matrices
| dc.citation.articleNumber | 053305 | en_US |
| dc.citation.issueNumber | 5 | en_US |
| dc.citation.journalTitle | Physical Review A | en_US |
| dc.citation.volumeNumber | 102 | en_US |
| dc.contributor.author | Xu, Youjiang | en_US |
| dc.contributor.author | Pu, Han | en_US |
| dc.contributor.org | Rice Center for Quantum Materials | en_US |
| dc.date.accessioned | 2020-12-16T22:09:03Z | en_US |
| dc.date.available | 2020-12-16T22:09:03Z | en_US |
| dc.date.issued | 2020 | en_US |
| dc.description.abstract | We propose a powerful and convenient method to systematically design flat-band lattice models, which overcomes the difficulties underlying the previous method. Especially, our method requires no elaborate calculations, applies to arbitrary spatial dimensions, and guarantees to result in a completely flat ground band. We use this method to generate several classes of lattice models, including models with both short- and long-range hoppings, both topologically trivial and nontrivial flat bands. Some of these models were previously known. Our method, however, provides important insight. For example, we have reproduced and generalized the Kapit-Mueller model [Kapit and Mueller, Phys. Rev. Lett. 105, 215303 (2010)] and demonstrated a universal scaling rule between the flat-band degeneracy and the magnetic flux that was not noticed in previous studies. We show that the flat band of this model results from the (over-)completeness properties of coherent states. | en_US |
| dc.identifier.citation | Xu, Youjiang and Pu, Han. "Building flat-band lattice models from Gram matrices." <i>Physical Review A,</i> 102, no. 5 (2020) American Physical Society: https://doi.org/10.1103/PhysRevA.102.053305. | en_US |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevA.102.053305 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/109752 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | American Physical Society | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.title | Building flat-band lattice models from Gram matrices | en_US |
| dc.type | Journal article | en_US |
| dc.type.dcmi | Text | en_US |
| dc.type.publication | publisher version | en_US |
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