Magic-angle helical trilayer graphene

Devakul, Trithep; Ledwith, Patrick J.; Xia, Li-Qiao; Uri, Aviram; de la Barrera, Sergio C.; Jarillo-Herrero, Pablo; Fu, Liang

doi:10.1126/sciadv.adi6063

Cited by 32 publications

(7 citation statements)

References 100 publications

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“…In tBLG, the tight-binding Hamiltonian has been shown to match with the ab initio calculated band structure (Figure S8) and with observed insulating states . In the trilayer system, the zero-energy flat bands from the code agrees with the observed semimetallic resistance peaks and closely aligns with recent experimental findings. − As a result, we have a high level of confidence in the accuracy of the DoS. An expression to quantify the uncertainty in rates from DoS has been derived in the Supporting Information.…”

Section: Methodssupporting

confidence: 75%

Twisto-Electrochemical Activity Volcanoes in Trilayer Graphene

Babar,

Zhu,

Kurchin

et al. 2024

J. Am. Chem. Soc.

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In this work, we develop a twist-dependent electrochemical activity map, combining a low-energy continuum electronic structure model with modified Marcus−Hush−Chidsey kinetics in trilayer graphene. We identify a counterintuitive rate enhancement region spanning the magic angle curve and incommensurate twists in the system geometry. We find a broad activity peak with a ruthenium hexamine redox couple in regions corresponding to both magic angles and incommensurate angles, a result qualitatively distinct from the twisted bilayer case. Flat bands and incommensurability offer new avenues for reaction rate enhancements in electrochemical transformations.

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Section: Methodssupporting

confidence: 75%

Twisto-Electrochemical Activity Volcanoes in Trilayer Graphene

Babar,

Zhu,

Kurchin

et al. 2024

J. Am. Chem. Soc.

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“…These modes are characterized by enhanced correlations and electrically tunable properties, forming the basis for an expanding theoretical literature employing bosonization [21,[66][67][68][70][71][72]. In addition to TBG [30,32,35,36,38,40,45,73], the explored one-dimensional modes also appear in a wider range of nanoscale systems, including twisted bilayer WTe 2 [63,64,74] and twisted trilayer graphene [61,62]. Our work suggests that the exploration of domain wall network in twisted structures can open avenues for understanding and manipulating correlated phenomena in nanoscale systems.…”

Section: Discussionmentioning

confidence: 83%

“…Given that stronger confinement of the domain wall modes is expected in the presence of relaxation, larger twist angles are possible for the feasible range of TLL description. Furthermore, while we focus on TBG in the present work, the procedure outlined above can be extended to other systems [61][62][63][64] in which similar onedimensional channels have been identified.…”

Section: Discussionmentioning

confidence: 99%

“…In particular, the domain walls in moiré twisted bilayer graphene (TBG) separating different stacking configurations have been found to host low-energy gapless modes [30,32,[35][36][37][38][39][40][41][42][43][44][45][46][47][48], effectively forming a network of coupled quantum wires. The phenomenon is reminiscent of domain walls in Bernal-stacked bilayer graphene with opposite stacking arrangement or transverse displacement fields [49][50][51][52][53][54][55] and also extends beyond TBG, as similar one-dimensional channels have been identified or postulated in various nanoscale systems [56][57][58][59][60], such as chiral twisted trilayer graphene [61,62], twisted WTe 2 [63,64], and strain-engineered devices [65]. The discovery of one-dimensional channels across these systems has motivated theoretical exploration into effective network models [21,[66][67][68][69][70][71][72][73][74], and underscore the broader applicability and significance of the coupled-wire models in tunab...…”

Section: Introductionmentioning

confidence: 95%

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Electrically tunable correlated domain wall network in twisted bilayer graphene

Wang,

Hsu

2024

2D Mater.

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We investigate the domain wall network in twisted bilayer graphene (TBG) under the influence of interlayer bias and screening effect from the layered structure. Starting from the continuum model, we analyze the low-energy domain wall modes within the moiré bilayer structure and obtain an analytic form representing charge density distributions of the two-dimensional structure. By computing the screened electron-electron interaction strengths both within and between the domain walls, we develop a bosonized model that describes the correlated domain wall network. We demonstrate that these interaction strengths can be modified through an applied interlayer bias, screening length and dielectric materials, and show how the model can be employed to investigate various properties of the domain wall network and its stability. We compute correlation functions both without and with phonons. Including electron-phonon coupling in the network, we establish phase diagrams from these correlation functions. These diagrams illustrate electrical tunability of the network between various phases, such as density wave states and superconductivity. Our findings reveal the domain wall network as a promising platform for the experimental manipulation of electron-electron interactions in low dimensions and the study of strongly correlated matter. We point out that our investigation not only enhances the understanding of domain wall modes in TBG but also has broader implications for the development of moiré devices.

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“…Prosperous and tremendous theoretical and experimental studies on moiré structures are still ongoing to open new avenues for physics and potential applications. Twist-angle induced moiré potentials are appearing in other structures, such as moiré of moiré graphene layers [268][269][270], TBG-hBN heterostructure [271][272][273][274], TBG-TMDC heterostructure [27], twisted three-dimensional systems [275][276][277], and so on. Beyond aforementioned non-twisted moiré heterostructures, studies of MoS 2 -metal moiré systems [278], and non-twisted TMDC bilayer moiré heterostructures such as MoTe 2 /WSe 2 are also arising [279,280].…”

Section: Discussionmentioning

confidence: 99%

Optical properties and plasmons in moiré structures

Kuang,

Pantaleón Peralta,

Angel Silva-Guillén

et al. 2024

J. Phys.: Condens. Matter

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The discoveries of numerous exciting phenomena in twisted bilayer graphene (TBG) are stimulating significant investigations on moiré structures that possess a tunable moiré potential. Optical response can provide insights into the electronic structures and transport phenomena of non-twisted and twisted moiré structures. In this article, we review both experimental and theoretical studies of optical properties such as optical conductivity, dielectric function, non-linear optical response, and plasmons in moiré structures composed of graphene, hexagonal boron nitride (hBN), and/or transition metal dichalcogenides (TMDCs). Firstly, a comprehensive introduction to the widely employed methodology on optical properties is presented. After, moiré potential induced optical conductivity and plasmons in non-twisted structures are reviewed, such as single layer graphene-hBN, bilayer graphene-hBN and graphene-metal moiré heterostructures. Next, recent investigations of twist-angle dependent optical response and plasmons are addressed in twisted moiré structures. Additionally, we discuss how optical properties and plasmons could contribute to the understanding of the many-body effects and superconductivity observed in moiré structures.

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Magic-angle helical trilayer graphene

Cited by 32 publications

References 100 publications

Twisto-Electrochemical Activity Volcanoes in Trilayer Graphene

Twisto-Electrochemical Activity Volcanoes in Trilayer Graphene

Electrically tunable correlated domain wall network in twisted bilayer graphene

Optical properties and plasmons in moiré structures

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