Magic-angle helical trilayer graphene

T Devakul, PJ Ledwith, LQ **a, A Uri… - Science …, 2023 - science.org
We propose magic-angle helical trilayer graphene (HTG), a helical structure featuring
identical rotation angles between three consecutive layers of graphene, as a unique and …

Multiscale lattice relaxation in general twisted trilayer graphenes

N Nakatsuji, T Kawakami, M Koshino - Physical Review X, 2023 - APS
We present comprehensive theoretical studies on the lattice relaxation and the electronic
structures in general nonsymmetric twisted trilayer graphenes. By using an effective …

Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides

J Shi, N Morales-Durán, E Khalaf, AH MacDonald - Physical Review B, 2024 - APS
Topological flat moiré bands with nearly ideal quantum geometry have been identified in
homobilayer transition metal dichalcogenide moiré superlattices, and are thought to be …

Chern mosaic and ideal flat bands in equal-twist trilayer graphene

D Guerci, Y Mao, C Mora - Physical Review Research, 2024 - APS
We study trilayer graphene arranged in a staircase stacking configuration with equal
consecutive twist angle. On top of the moiré crystalline pattern, a supermoiré long …

Theory of generalized Landau levels and implication for non-Abelian states

Z Liu, B Mera, M Fujimoto, T Ozawa, J Wang - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum geometry is a fundamental concept to characterize the local properties of quantum
states. It is recently demonstrated that saturating certain quantum geometric bounds allows a …

Magic angle butterfly in twisted trilayer graphene

FK Popov, G Tarnopolsky - Physical Review Research, 2023 - APS
We consider a configuration of three stacked graphene monolayers with commensurate twist
angles θ 12/θ 23= p/q, where p and q are coprime integers with 0< p<| q| and q can be …

Nature of even and odd magic angles in helical twisted trilayer graphene

D Guerci, Y Mao, C Mora - Physical Review B, 2024 - APS
Helical twisted trilayer graphene exhibits zero-energy flat bands with large degeneracy in
the chiral limit. The flat bands emerge at a discrete set of magic twist angles and feature …

Extended magic phase in twisted graphene multilayers

DCW Foo, Z Zhan, MM Al Ezzi, L Peng, S Adam… - Physical Review …, 2024 - APS
Theoretical and experimental studies have verified the existence of “magic angles” in twisted
bilayer graphene, where the rotation angle between layers gives rise to flat bands and …

Multi-moiré trilayer graphene: lattice relaxation, electronic structure, and magic angles

C Yang, J May-Mann, Z Zhu, T Devakul - Physical Review B, 2024 - APS
We systematically explore the structural and electronic properties of twisted trilayer
graphene systems. In general, these systems are characterized by two twist angles θ 12 and …

Helical trilayer graphene in magnetic field: Chern mosaic and higher Chern number ideal flat bands

A Datta, D Guerci, MO Goerbig, C Mora - Physical Review B, 2024 - APS
Helical trilayer graphene (hTG) exhibits a supermoiré pattern with large domains centered
around stacking points ABA and BAB, where two well-separated low-energy bands appear …