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Hauptverfasser: Choi, Jungho Daniel, Morales-Durán, Nicolás, Kwan, Yves H., Millis, Andrew J., Regnault, Nicolas, Guerci, Daniele
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2507.17819
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author Choi, Jungho Daniel
Morales-Durán, Nicolás
Kwan, Yves H.
Millis, Andrew J.
Regnault, Nicolas
Guerci, Daniele
author_facet Choi, Jungho Daniel
Morales-Durán, Nicolás
Kwan, Yves H.
Millis, Andrew J.
Regnault, Nicolas
Guerci, Daniele
contents We propose helically twisted homotrilayer transition metal dichalcogenides as a platform for realizing correlated topological phases of matter with higher and tunable Chern numbers. We show that a clear separation of scales emerges for small twist angles, allowing us to derive a low-energy continuum model that captures the physics within moiré-scale domains. We identify regimes of twist angle and displacement field for which the highest-lying hole band is isolated from other bands and is topological with $K$-valley Chern number $C=-2$. We demonstrate that varying the displacement field can induce a transition from $C=-2$ to $C=-1$, as well as from a topologically trivial band to a $C=-1$ band. We derive an effective tight-binding description for a high-symmetry stacking domain which is valid for a wide range of twist angles, and we show that the $C=-2$ band can remain stable at filling fraction $ν=-1$ in the presence of interactions in Hartree-Fock calculations.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17819
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higher Chern bands in helical homotrilayer transition metal dichalcogenides
Choi, Jungho Daniel
Morales-Durán, Nicolás
Kwan, Yves H.
Millis, Andrew J.
Regnault, Nicolas
Guerci, Daniele
Mesoscale and Nanoscale Physics
We propose helically twisted homotrilayer transition metal dichalcogenides as a platform for realizing correlated topological phases of matter with higher and tunable Chern numbers. We show that a clear separation of scales emerges for small twist angles, allowing us to derive a low-energy continuum model that captures the physics within moiré-scale domains. We identify regimes of twist angle and displacement field for which the highest-lying hole band is isolated from other bands and is topological with $K$-valley Chern number $C=-2$. We demonstrate that varying the displacement field can induce a transition from $C=-2$ to $C=-1$, as well as from a topologically trivial band to a $C=-1$ band. We derive an effective tight-binding description for a high-symmetry stacking domain which is valid for a wide range of twist angles, and we show that the $C=-2$ band can remain stable at filling fraction $ν=-1$ in the presence of interactions in Hartree-Fock calculations.
title Higher Chern bands in helical homotrilayer transition metal dichalcogenides
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2507.17819