Textured Exciton Insulators

Fuente: arXiv
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Autori principali: Kwan, Yves H., Wang, Ziwei, Wagner, Glenn, Simon, Steven H., Parameswaran, S. A., Bultinck, Nick
Natura: Preprint
Pubblicazione: 2024
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author Kwan, Yves H.
Wang, Ziwei
Wagner, Glenn
Simon, Steven H.
Parameswaran, S. A.
Bultinck, Nick
author_facet Kwan, Yves H.
Wang, Ziwei
Wagner, Glenn
Simon, Steven H.
Parameswaran, S. A.
Bultinck, Nick
contents We introduce and study new interacting topological states that arise in time-reversal symmetric bands with an underlying obstruction to forming localized states. If the $U(1)$ valley symmetry linked to independent charge conservation in each time-reversal sector is spontaneously broken, the corresponding `excitonic' order parameter is forced to form a topologically non-trivial texture across the Brillouin zone. We show that the resulting phase, which we dub a textured exciton insulator, cannot be given a local-moment description due to a form of delicate topology. Using toy models of bands with Chern or Euler obstructions to localization we construct explicit examples of the Chern or Euler texture insulators (CTIs or ETIs) they support, and demonstrate that these are generically competitive ground states at intermediate coupling. We construct field theories that capture the response properties of these new states. Finally, we identify the incommensurate Kekulé spiral phase observed in magic-angle bi- and trilayer graphene as a concrete realization of an ETI.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15343
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Textured Exciton Insulators
Kwan, Yves H.
Wang, Ziwei
Wagner, Glenn
Simon, Steven H.
Parameswaran, S. A.
Bultinck, Nick
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
We introduce and study new interacting topological states that arise in time-reversal symmetric bands with an underlying obstruction to forming localized states. If the $U(1)$ valley symmetry linked to independent charge conservation in each time-reversal sector is spontaneously broken, the corresponding `excitonic' order parameter is forced to form a topologically non-trivial texture across the Brillouin zone. We show that the resulting phase, which we dub a textured exciton insulator, cannot be given a local-moment description due to a form of delicate topology. Using toy models of bands with Chern or Euler obstructions to localization we construct explicit examples of the Chern or Euler texture insulators (CTIs or ETIs) they support, and demonstrate that these are generically competitive ground states at intermediate coupling. We construct field theories that capture the response properties of these new states. Finally, we identify the incommensurate Kekulé spiral phase observed in magic-angle bi- and trilayer graphene as a concrete realization of an ETI.
title Textured Exciton Insulators
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2406.15343