Charge density waves and stripes in quarter metals of graphene heterostructures

Sk Asrap Murshed; Bitan Roy

doi:10.1103/png3-tym5

paper

Charge density waves and stripes in quarter metals of graphene heterostructures

arXiv:2510.20816 · doi:10.1103/png3-tym5

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 $2 K$ periodicity, where $\pm K$ 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{https://www.nature.com/articles/s41567-024-02560-7}{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.

Published version in PRB: 10 Pages and 3 Figures (Supplemental Material as Ancillary file)

Charge density waves and stripes in quarter metals of graphene heterostructures

Abstract

References in corpus (54)