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The flat bands resulting from moir\'e superlattices in magic-angle twisted bilayer graphene (MATBG) and ABC-trilayer graphene aligned with hexagonal boron nitride (ABC-TLG/hBN) have been shown to give rise to fascinating correlated electron…

Recent exploration of the commensurate structure in the turbostratic double layer graphene shows that the large angle twisting can be treated by the decrease of the effective velocity within the energy spectra of the single layer graphene.…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jozef Bucko , František Herman

A moire pattern is formed when two copies of a periodic pattern are overlaid with a relative twist. We address the electronic structure of a twisted two-layer graphene system, showing that in its continuum Dirac model the moire pattern…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 R. Bistritzer , A. H. MacDonald

Superconductivity in single-layer graphene has attracted considerable interest. Here, using the determinant quantum Monte Carlo method, we study transitions of superconductivity and magnetism in a monolayer graphene with a special periodic…

Strongly Correlated Electrons · Physics 2024-12-31 Jingyao Meng , Runyu Ma , Tianxing Ma , Hai-Qing Lin

Twisted two-dimensional structures open new possibilities in band structure engineering. At magic twist angles, flat bands emerge, which give a new drive to the field of strongly correlated physics. In twisted double bilayer graphene dual…

In crystalline solids the interactions of charge and spin can result in a variety of emergent quantum ground states, especially in partially filled, topological flat bands such as Landau levels or in 'magic-angle' bilayer graphene. Much…

Dispersionless flat bands are proposed to be a fundamental ingredient to achieve the various sought after quantum states of matter including high-temperature superconductivity1-4 and fractional quantum Hall effect5-6. Materials with such…

Two-dimensional moire superlattices have recently emerged as a fertile ground for creating novel electronic phases of matter with unprecedented control. Despite intensive efforts, theoretical investigation of correlated moire systems has…

Strongly Correlated Electrons · Physics 2020-05-12 Yang Zhang , Hiroki Isobe , Liang Fu

We present electronic structure calculations of twisted double bilayer graphene (TDBG): A tetralayer graphene structure composed of two AB-stacked graphene bilayers with a relative rotation angle between them. Using first-principles…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 F. J. Culchac , Rodrigo B. Capaz , Leonor Chico , E. Suarez Morell

The topological electronic structure of crystalline materials often gives rise to intriguing surface states, such as Dirac surface states in topological insulators, Fermi arc surface states in Dirac semimetals, and topological…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Wenqiang Zhou , Jing Ding , Jiannan Hua , Le Zhang , Kenji Watanabe , Takashi Taniguchi , Wei Zhu , Shuigang Xu

Collective plasma excitations in moir\'e flat bands display unique properties reflecting strong electron-electron interactions and unusual carrier dynamics in these systems. Unlike the conventional two-dimensional plasmon modes, dispersing…

Mesoscale and Nanoscale Physics · Physics 2020-11-06 Ali Fahimniya , Cyprian Lewandowski , Leonid Levitov

When layers of graphene are rotationally misaligned by the magic angle, the moir\'e superlattice features extremely flat bands. Due to the enhanced density of states, the Coulomb interaction induces a variety of instabilities. The most…

The supermoir\'e lattice, arising from the interference of multiple moir\'e patterns, dramatically reshapes the electronic band structure by introducing new minibands and modifying band dispersion. Concurrently, strong electronic…

Strongly Correlated Electrons · Physics 2026-03-11 Zekang Zhou , Cheng Shen , Kryštof Kolář , Kenji Watanabe , Takashi Taniguchi , Cyprian Lewandowski , Mitali Banerjee

Electronic flat bands can lead to rich many-body quantum phases by quenching the electron's kinetic energy and enhancing many-body correlation. The reduced bandwidth can be realized by either destructive quantum interference in frustrated…

The moir\'e of twisted graphene bilayers can generate flat bands in which charge carriers do not posses enough kinetic energy to escape Coulomb interactions with each other leading to the formation of novel strongly correlated electronic…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 F. Mesple , A. Missaoui , T. Cea , L. Huder , G. Trambly de Laissardière , F. Guinea , C. Chapelier , V. T. Renard

We develop a theory for a qualitatively new type of disorder in condensed matter systems arising from local twist-angle fluctuations in two strongly coupled van der Waals monolayers twisted with respect to each other to create a flat band…

Disordered Systems and Neural Networks · Physics 2020-06-30 Justin H. Wilson , Yixing Fu , S. Das Sarma , J. H. Pixley

Twisted bilayer graphene is a rich condensed matter system, which allows one to tune energy scales and electronic correlations. The low-energy physics of the resulting moir\'e structure can be mathematically described in terms of a…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Alireza Parhizkar , Victor Galitski

Moir\'e materials have emerged as a rich platform for exploring strong correlation effects in low dimensions, with twisted bilayer graphene (TBG) as a paradigmatic example. To distill the essential ingredients driving moir\'e-induced…

Strongly Correlated Electrons · Physics 2026-03-19 Paban Kumar Patra , Ranjith R. Kumar , Yixuan Huang , Hridis K. Pal

In heterostructures consisting of atomically thin crystals layered on top of one another, lattice mismatch or rotation between the layers results in long-wavelength moir\'e superlattices. These moir\'e patterns can drive significant band…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Nathan R. Finney , Matthew Yankowitz , Lithurshanaa Muraleetharan , K. Watanabe , T. Taniguchi , Cory R. Dean , James Hone

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam
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