Charge density waves and stripes in quarter metals of graphene heterostructures

[2510.20816] Charge density waves and stripes in quarter metals of graphene heterostructures Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Mesoscale and Nanoscale Physics arXiv:2510.20816 (cond-mat) [Submitted on 23 Oct 2025 ( v1 ), last revised 15 Aug 2026 (this version, v2)] Title: Charge density waves and stripes in quarter metals of graphene heterostructures Authors: Sk Asrap Murshed , Bitan Roy View a PDF of the paper titled Charge density waves and stripes in quarter metals of graphene heterostructures, by Sk Asrap Murshed and 1 other authors View PDF HTML (experimental) Abstract: Motivated by recent experiments, here we identify valley-coherent charge density wave (VC-CDW) in the nondegenerate quarter metal for the entire family of chirally-stacked $n$ layer graphene, encompassing rhombohedral multilayer, Bernal bilayer, and monolayer cousins. Besides the hallmark broken translational symmetry, yielding a modulated charge density over an enlarged unit-cell with a characteristic $2{\bf K}$ periodicity, where $\pm {\bf K}$ are the valley momenta, this phase lacks the three-fold ($C_3$) rotational symmetry but only for $n=1$ and even integer $n$. The VC-CDW then represents a stripe order, as observed in hexalayer graphene [\href{ https://arxiv.org/abs/2504.05129 }{ arXiv:2504.05129 }], but preserves the $C_3$ symmetry for other odd integer $n$ as observed in trilayer graphene [\href{ this https URL }{Nat.\ Phys.\ {\bf 20}, 1413 (2024)} and \href{ https://arxiv.org/abs/2411.11163 }{ arXiv:2411.11163 }]. From a \emph{universal} Clifford algebraic argument, we show that the VC-CDW and an anomalous Hall order can lift the residual valley degeneracy of an antiferromagnetically ordered spin-polarized half metal, when these systems are subject to perpendicular displacement fields. Only the anomalous Hall order displays a hysteresis in off-diagonal resistivity, as observed in all the systems with $2 \leq n \leq 6$. We showcase a confluence of VC-CDW and anomalous Hall orders within the quarter metal, \emph{generically} displaying a regime of coexistence, otherwise separating the pure phases. Comments: Published version in PRB: 10 Pages and 3 Figures (Supplemental Material as Ancillary file) Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Strongly Correlated Electrons (cond-mat.str-el); Superconductivity (cond-mat.supr-con) Cite as: arXiv:2510.20816 [cond-mat.mes-hall] (or arXiv:2510.20816v2 [cond-mat.mes-hall] for this version) https://doi.org/10.48550/arXiv.2510.20816 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. B 114, 125412 (2026) Related DOI : https://doi.org/10.1103/png3-tym5 Focus to learn more DOI(s) linking to related resources Submission history From: Bitan Roy [ view email ] [v1] Thu, 23 Oct 2025 17:59:33 UTC (551 KB) [v2] Sat, 15 Aug 2026 03:36:02 UTC (556 KB) Full-text links: Access Paper: View a PDF of the paper titled Charge density waves and stripes in quarter metals of graphene heterostructures, by Sk Asrap Murshed and 1 other authors View PDF HTML (experimental) TeX Source view license Ancillary-file links: Ancillary files ( details ) : Supplementary_Stripe_QuarterMetal_AllGraphene.pdf Current browse context: cond-mat.mes-hall < prev | next > new | recent | 2025-10 Change to browse by: cond-mat cond-mat.str-el cond-mat.supr-con References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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