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Topological superconducting phases with time-reversal (TR) symmetry have been widely explored in recent years. However the involved unconventional pairings are generally implausible in realistic materials. Here we demonstrate via detailed…

Quantum Gases · Physics 2015-11-06 Beibing Huang , Pak Hong Chui , Jia Liu , Chuanwei Zhang , Ming Gong

We uncover a new type of magic-angle phenomena when an AA-stacked graphene bilayer is twisted relative to another graphene system with band touching. In the simplest case this constitutes a trilayer system formed by an AA-stacked bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Yantao Li , Adam Eaton , H. A. Fertig , Babak Seradjeh

Lattice relaxation in twistronic bilayers with close lattice parameters and almost perfect crystallographic alignment of the layers results in the transformation of moir\'e pattern into a sequence of preferential stacking domains and domain…

Mesoscale and Nanoscale Physics · Physics 2023-11-30 M. A. Kaliteevsky , V. V. Enaldiev , V. I. Fal'ko

In the presence of a finite interlayer displacement field bilayer graphene has an energy gap that is dependent on stacking and largest for the stable AB and BA stacking arrangements. When the relative orientations between layers are twisted…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Dmitry K. Efimkin , Allan H. MacDonald

We present a theory of superconductivity in magic-angle twisted bilayer graphene and analyze the superconducting phase diagram in presence of the magnetic field. Namely, we consider a model of a granular array hosting localized states,…

Superconductivity · Physics 2023-03-21 SK Firoz Islam , A. Yu. Zyuzin , Alexander A. Zyuzin

Incommensurately twisted graphene bilayers are described by long-wavelength theories, but to date such theories exist only at small angles of interlayer rotation. We construct a long wavelength theory without such a restriction, instead…

Mesoscale and Nanoscale Physics · Physics 2014-09-09 Hridis K. Pal , Steven Carter , M. Kindermann

Recent mean-field calculations suggest that the superconducting state of twisted bilayer graphene exhibits either a nematic order or a spontaneous breakdown of the time-reversal symmetry. The two-dimensional character of the material and…

Strongly Correlated Electrons · Physics 2023-03-10 Ilaria Maccari , Johan Carlström , Egor Babaev

Trilayer graphene with a twisted middle layer has recently emerged as a new platform exhibiting correlated phases and superconductivity near its magic angle. A detailed characterization of its electronic structure in the parameter space of…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Jiseon Shin , Bheema Lingam Chittari , Jeil Jung

The interplay of twist and strain in bilayer graphene enables the formation of moir\'e patterns and narrow bands that host correlated and topological phases. While magic-angle twisted bilayer graphene has been widely studied, strain…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Federico Escudero , Dong Wang , Pierre A. Pantaleón , Shengjun Yuan , Francisco Guinea , Zhen Zhan

The recent discovery of unconventional superconductivity has pointed to twisted WSe$_2$ bilayer as a versatile platform for studying the correlated and topological phases of matter. Here we analyze the effect of the displacement field and…

Superconductivity · Physics 2025-10-27 Michał Zegrodnik , Waseem Akbar , Andrzej Biborski , Louk Rademaker

Bilayer silicene has richer physical properties than bilayer graphene due to its buckled structure together with its trigonal symmetric structure. The buckled structure arises from a large ionic radius of silicon, and the trigonal symmetry…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Motohiko Ezawa

In photonics, twisted bi-layer systems have demonstrated unprecedented control over light-matter interactions, primarily through the modulation of photonic band structures and the formation of Moir\'e patterns. Meanwhile, magnetic photonic…

Optics · Physics 2025-10-10 You-Ming Liu , Shi-Kai Lin , Pei-Shi Li , Yi-Ran Hao , Biao Yang

Monolayer graphene placed with a twist on top of AB-stacked bilayer graphene hosts topological flat bands in a wide range of twist angles. The dispersion of these bands and gaps between them can be efficiently controlled by a perpendicular…

Strongly Correlated Electrons · Physics 2020-08-05 Louk Rademaker , Ivan Protopopov , Dmitry Abanin

Ultraflat bands in twisted bilayers of two-dimensional materials have potential to host strong correlations, including the Mott-insulating phase at half-filling of the band. Using first principles density functional theory calculations, we…

Materials Science · Physics 2019-01-02 Mit H. Naik , Manish Jain

The discovery of different phases as a result of correlations, especially in low-dimensional materials, has been always an exciting and fundamental subject of research. Recent experiments on twisted bilayer graphene have revealed reentrant…

Strongly Correlated Electrons · Physics 2018-11-30 Yury Sherkunov , Joseph J. Betouras

At very small twist angles, bilayer moir\'e systems exhibit characteristic stacking domain patterns, where the moir\'e length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Kunihiro Yananose , Changwon Park , Young-Woo Son

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

Thanks to the recent discovery on the magic-angle bilayer graphene, twistronics is quickly becom11 ing a burgeoning field in condensed matter physics. This letter expands the realm of twistronics to acoustics by introducing twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Yuanchen Deng , Mourad Oudich , Nikhil JRK Gerard , Jun Ji , Minghui Lu , Yun Jing

Spatial control of topology is highly desirable for realizing tunable quantum functionalities in materials. Moir\'e superlattices formed by twisting van der Waals heterostructures provide a natural platform for spatially modulated…

Materials Science · Physics 2026-05-28 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

We predict that vertical transport in heterostructures formed by twisted graphene layers can exhibit a unique bistability mechanism. Intrinsically bistable $I$-$V$ characteristics arise from resonant tunneling and interlayer charge…

Mesoscale and Nanoscale Physics · Physics 2016-08-19 Joaquin F. Rodriguez-Nieva , Mildred S. Dresselhaus , Leonid S. Levitov
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