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Strong electron correlation and spin-orbit coupling (SOC) provide two non-trivial threads to condensed matter physics. When these two strands of physics come together, a plethora of quantum phenomena with novel topological order have been…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Jiang-Xiazi Lin , Ya-Hui Zhang , Erin Morissette , Zhi Wang , Song Liu , Daniel Rhodes , K. Watanabe , T. Taniguchi , James Hone , J. I. A. Li

The group of moir\'e graphene superconductors keeps growing, and by now it contains twisted graphene multilayers and twisted double bilayers. We analyze the contribution of long range charge fluctuations in the superconductivity of twisted…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Min Long , Alejandro Jimeno-Pozo , Hector Sainz-Cruz , Pierre A. Pantaleon , Francisco Guinea

Ultraflat bands have already been detected in twisted bilayer graphene and twisted bilayer transition-metal dichalcogenides, which provide a platform to investigate strong correlations. In this paper, the electronic properties of twisted…

Materials Science · Physics 2024-03-05 Yonggang Li , Zhen Zhan , Shengjun Yuan

The surprising insulating and superconducting states of narrow-band graphene twisted bilayers have been mostly discussed so far in terms of strong electron correlation, with little or no attention to phonons and electron-phonon effects. We…

Strongly Correlated Electrons · Physics 2019-10-16 M. Angeli , E. Tosatti , M. Fabrizio

We derive a Kondo Lattice model with a correlated conduction band from a two-band Hubbard Hamiltonian. This mapping allows us to describe the emergence of a robust pairing mechanism in a model that only contains repulsive interactions. The…

Strongly Correlated Electrons · Physics 2015-05-13 K. A. Al-Hassanieh , C. D. Batista , P. Sengupta , A. E. Feiguin

The recent advent of artificial structures has triggered the emergence of fascinating phenomena that could not exist in natural compounds. A prime example is twisted multilayers, i.e., moir\'e superlattices represented by magic-angle…

Superconductivity · Physics 2024-11-13 Shun Asano , Youichi Yanase

We present a theoretical investigation of the emergence of chiral topological superconductivity in small-angle twisted bilayer graphene (tBLG) and twisted double bilayer graphene (tDBLG). Using the low-energy continuum model and…

Mesoscale and Nanoscale Physics · Physics 2025-12-22 Kamalesh Bera , Tanay Nag , Arijit Saha

ABC-stacked multilayer graphene (ABC-MLG) exhibits topological surface flat bands with a divergent density of states, leading to many-body instabilities at charge neutrality. Here, we explore electronic ordering within a mean-field approach…

Superconductivity · Physics 2023-10-20 Oladunjoye A. Awoga , Tomas Löthman , Annica M. Black-Schaffer

We introduce twisted trilayer graphene (tTLG) with two independent twist angles as an ideal system for the precise tuning of the electronic interlayer coupling to maximize the effect of correlated behaviors. As established by experiment and…

Mesoscale and Nanoscale Physics · Physics 2020-10-12 Ziyan Zhu , Stephen Carr , Daniel Massatt , Mitchell Luskin , Efthimios Kaxiras

For two-dimensional single-valley quadratic band crossing systems with weak repulsive electron-electron interactions, we show that upon introducing a chemical potential, particle-hole order is suppressed and superconductivity becomes the…

Superconductivity · Physics 2015-04-21 Kelly Ann Pawlak , James M. Murray , Oskar Vafek

Periodic stacking of topologically trivial and non-trivial layers with opposite symmetry of the valence and conduction bands induces topological interface states that, in the strong coupling limit, hybridize both across the topological and…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 G. Krizman , B. A. Assaf , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner

The integration of topological insulators (TIs) with graphene offers a pathway to engineer hybrid quantum states, yet the impact of strain at the 2D limit remains a critical open question. Here, we investigate the structural properties of…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Francisco Munoz , Manuel Fuenzalida , Paula Mellado , Hari C. Manoharan , Valentina Gallardo , Carolina Parra

Two-dimensional atomic crystals can radically change their properties in response to external influences such as substrate orientation or strain, resulting in essentially new materials in terms of the electronic structure. A striking…

We investigate the twisted bilayer graphene by a two-orbital Hubbard model on the honeycomb lattice. The model is studied near 1/4 band filling by using the singular-mode functional renormalization group theory. Spin-triplet $f$-wave…

Superconductivity · Physics 2019-04-03 Q. K. Tang , L. Yang , D. Wang , F. C. Zhang , Q. H. Wang

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

Rhombohedral multilayer graphene, with its flat electronic bands and concentrated Berry curvature, is a promising material for the realization of correlated topological phases of matter. When aligned to an adjacent hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Samuel H. Aronson , Tonghang Han , Zhengguang Lu , Yuxuan Yao , Kenji Watanabe , Takashi Taniguchi , Long Ju , Raymond C. Ashoori

We carry out a theoretical study of unconventional superconductivity in twisted bilayer cuprates (TBC) as a function of electron density and layer twist angle. The bilayer $t$-$J$-$U$ model is employed and analyzed within the framework of a…

Superconductivity · Physics 2024-10-11 Maciej Fidrysiak , Bartłomiej Rzeszotarski , Józef Spałek

Rhombohedral multilayer graphene has emerged as an extraordinary platform for investigating exotic quantum states, such as superconductivity and fractional quantum anomalous Hall effects, mainly due to the existence of topological surface…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 H. B. Xiao , C. Chen , X. Sui , S. H. Zhang , M. Z. Sun , H. Gao , Q. Jiang , Q. Li , L. X. Yang , M. Ye , F. Y. Zhu , M. X. Wang , J. P. Liu , Z. B. Zhang , Z. J. Wang , Y. L. Chen , K. H. Liu , Z. K. Liu

A bipartite lattice with chiral symmetry is known to host zero energy flat bands if the numbers of the two sublattices are different. We demonstrate that this mechanism of producing flat bands can be realized on graphene by introducing…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Matheus S. M. de Sousa , Fujun Liu , Fanyao Qu , Wei Chen

Twisted graphene multilayers provide tunable platforms to engineer flat bands and exploit the associated strongly correlated physics. The two-dimensional nature of these systems makes them suitable for encapsulation by materials that break…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Guangze Chen , Maryam Khosravian , Jose L. Lado , Aline Ramires
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