Moiré collapse and Luttinger liquids in twisted anisotropic homobilayers.
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| Title: | Moiré collapse and Luttinger liquids in twisted anisotropic homobilayers. |
|---|---|
| Authors: | de Sousa, Duarte J. P.1, Lee, Seungjun1, Guinea, Francisco2,3 francisco.guinea@imdea.org, Low, Tony1,4 |
| Source: | Proceedings of the National Academy of Sciences of the United States of America. 3/17/2026, Vol. 123 Issue 11, p1-9. 35p. |
| Subjects: | Luttinger liquids, Angles, Quantum states, Quasicrystals |
| Abstract: | We introduce twisted anisotropic homobilayers as a distinct class of moiré systems, characterized by a distinctive "magic angle," M, where the moiré unit cell collapses. Unlike conventional studies of moiré materials, which primarily focus on small lattice misalignments, we demonstrate that this moiré collapse occurs at large twist angles in generic twisted anisotropic homobilayers. The collapse angle, M, is likely to give rise quasi-crystal behavior as well as to the formation of strongly correlated states, that arise not from flat bands, but from the presence of ultra-anisotropic electronic states, where non-Fermi liquid phases can be stabilized. In this work, we develop a continuum model for electrons based on extensive ab initio calculations for twisted bilayer black phosphorus, enabling a detailed study of the emerging moiré collapse features in this prototypical system. We show that the (temperature) stability criterion for the emergence of (sliding) Luttinger liquids is generally met as the twist angle approaches M. Furthermore, we explicitly formulate the collapsed single-particle one-dimensional (1D) continuum Hamiltonian and provide the fully interacting, Hamiltonian applicable at low doping levels. Our analysis reveals a rich landscape of multichannel Luttinger liquids, potentially enhanced by valley degrees of freedom at large twist angles. [ABSTRACT FROM AUTHOR] |
| Copyright of Proceedings of the National Academy of Sciences of the United States of America is the property of National Academy of Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192860057 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Moiré collapse and Luttinger liquids in twisted anisotropic homobilayers. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22de+Sousa%2C+Duarte+J%2E+P%2E%22">de Sousa, Duarte J. P.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Lee%2C+Seungjun%22">Lee, Seungjun</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Guinea%2C+Francisco%22">Guinea, Francisco</searchLink><relatesTo>2,3</relatesTo><i> francisco.guinea@imdea.org</i><br /><searchLink fieldCode="AR" term="%22Low%2C+Tony%22">Low, Tony</searchLink><relatesTo>1,4</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Proceedings+of+the+National+Academy+of+Sciences+of+the+United+States+of+America%22">Proceedings of the National Academy of Sciences of the United States of America</searchLink>. 3/17/2026, Vol. 123 Issue 11, p1-9. 35p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Luttinger+liquids%22">Luttinger liquids</searchLink><br /><searchLink fieldCode="DE" term="%22Angles%22">Angles</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+states%22">Quantum states</searchLink><br /><searchLink fieldCode="DE" term="%22Quasicrystals%22">Quasicrystals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We introduce twisted anisotropic homobilayers as a distinct class of moiré systems, characterized by a distinctive "magic angle," M, where the moiré unit cell collapses. Unlike conventional studies of moiré materials, which primarily focus on small lattice misalignments, we demonstrate that this moiré collapse occurs at large twist angles in generic twisted anisotropic homobilayers. The collapse angle, M, is likely to give rise quasi-crystal behavior as well as to the formation of strongly correlated states, that arise not from flat bands, but from the presence of ultra-anisotropic electronic states, where non-Fermi liquid phases can be stabilized. In this work, we develop a continuum model for electrons based on extensive ab initio calculations for twisted bilayer black phosphorus, enabling a detailed study of the emerging moiré collapse features in this prototypical system. We show that the (temperature) stability criterion for the emergence of (sliding) Luttinger liquids is generally met as the twist angle approaches M. Furthermore, we explicitly formulate the collapsed single-particle one-dimensional (1D) continuum Hamiltonian and provide the fully interacting, Hamiltonian applicable at low doping levels. Our analysis reveals a rich landscape of multichannel Luttinger liquids, potentially enhanced by valley degrees of freedom at large twist angles. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Proceedings of the National Academy of Sciences of the United States of America is the property of National Academy of Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1073/pnas.2527371123 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 35 StartPage: 1 Subjects: – SubjectFull: Luttinger liquids Type: general – SubjectFull: Angles Type: general – SubjectFull: Quantum states Type: general – SubjectFull: Quasicrystals Type: general Titles: – TitleFull: Moiré collapse and Luttinger liquids in twisted anisotropic homobilayers. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: de Sousa, Duarte J. P. – PersonEntity: Name: NameFull: Lee, Seungjun – PersonEntity: Name: NameFull: Guinea, Francisco – PersonEntity: Name: NameFull: Low, Tony IsPartOfRelationships: – BibEntity: Dates: – D: 17 M: 03 Text: 3/17/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00278424 Numbering: – Type: volume Value: 123 – Type: issue Value: 11 Titles: – TitleFull: Proceedings of the National Academy of Sciences of the United States of America Type: main |
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