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We present a systematic classification and analysis of possible pairing instabilities in graphene-based moir\'e superlattices. Motivated by recent experiments on twisted double-bilayer graphene showing signs of triplet superconductivity, we…

Superconductivity · Physics 2020-07-21 Mathias S. Scheurer , Rhine Samajdar

Motivated by the recently experimental reported signatures of the tunable Mott insulating state and superconductivity in an ABC graphene trilayer superlattice, we investigate the charge compressibility, the spin correlation, and the…

Strongly Correlated Electrons · Physics 2021-07-09 Huijia Dai , Junchen Hou , Xiao Zhang , Ying Liang , Tianxing Ma

The quest for unconventional superconductivity governed by Coulomb repulsion between electrons rather than phonon attraction received new momentum with the advent of moir\'e graphene. Initially, delineating the phonon and…

Superconductivity · Physics 2023-05-24 Zhiyu Dong , Andrey V. Chubukov , Leonid Levitov

Graphene and transition metal dichalcogenide flat-band systems show similar phase diagrams, replete with magnetic and superconducting phases. An abiding question has been whether magnetic ordering competes with superconductivity or…

Starting from a continuum-model description, we develop a microscopic weak-coupling theory for superconductivity in twisted double-bilayer graphene. We study both electron-phonon and entirely electronic pairing mechanisms. In each case, the…

Superconductivity · Physics 2020-08-04 Rhine Samajdar , Mathias S. Scheurer

We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Chunli Huang , Nemin Wei , Wei Qin , Allan MacDonald

Motivated by the recent numerical simulations for doped $t$-$J$ model on the honeycomb lattice, we study superconductivity of singlet and triplet pairing on the honeycomb lattice Hubbard model. We show that a superconducting state with…

Strongly Correlated Electrons · Physics 2020-12-25 Yang Qi , Liang Fu , Kai Sun , Zhengcheng Gu

We reveal an edge spin triplet $p-$wave superconducting pairing correlation in slightly doped zigzag graphene nanoribbons. By employing a method that combines random-phase approximation, the finite-temperature determinant quantum Monte…

Strongly Correlated Electrons · Physics 2017-05-05 Tianxing Ma , Fan Yang , Zhongbing Huang , Hai-Qing Lin

Motivated by recent experiments indicating strong superconductivity and intricate correlated insulating and flavor-polarized physics in mirror-symmetric twisted trilayer graphene, we study the effects of interactions in this system close to…

Strongly Correlated Electrons · Physics 2022-04-26 Maine Christos , Subir Sachdev , Mathias S. Scheurer

We study a minimal Hubbard model for electronically driven superconductivity in a correlated flat mini-band resulting from the superlattice modulation of a twisted graphene multilayer. The valley degree of freedom drastically modifies the…

Strongly Correlated Electrons · Physics 2018-08-30 Cenke Xu , Leon Balents

The microscopic mechanism of superconductivity in the magic-angle twisted graphene family, including magic-angle twisted trilayer graphene (MATTG), is poorly understood. Properties of MATTG, like Pauli limit violation, suggest…

Magic-angle twisted trilayer graphene (MATTG) recently emerged as a highly tunable platform for studying correlated phases of matter, such as correlated insulators and superconductivity. Superconductivity occurs in a range of doping levels…

Magic-angle twisted trilayer graphene (MATTG) has emerged as a novel moir\'e material that exhibits both strong electronic correlations and unconventional superconductivity. However, spectroscopic studies of its electronic properties are…

We present a theory of superconducting pairing originating from soft critical fluctuations near isospin-polarized states in rhombohedral trilayer graphene. Using a symmetry-based approach, we determine possible isospin order types and…

Superconductivity · Physics 2021-09-10 Zhiyu Dong , Leonid Levitov

In a recent experiment [Lin et al., arXiv:2112.07841], the superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer graphene and WSe$_2$ was shown to exhibit significantly different critical currents in…

Mesoscale and Nanoscale Physics · Physics 2022-07-25 Harley D. Scammell , J. I. A. Li , Mathias S. Scheurer

Graphene moire superlattices have emerged as a platform hosting and abundance of correlated insulating, topological, and superconducting phases. While the origins of strong correlations and non-trivial topology are shown to be directly…

Moir\'e lattices provide a highly tunable platform for exploring the interplay between electronic correlations and band topology. Introducing a second moir\'e pattern extends this paradigm: interference between the two moir\'e patterns…

Exotic correlated insulating phases emerge in the ABC-stacked trilayer graphene-boron nitride Moire super-lattice at both quarter and half-filling. A single-band minimal model with valley contrasting staggered-flux is proposed to capture…

Strongly Correlated Electrons · Physics 2018-10-29 Guo-Yi Zhu , Tao Xiang , Guang-Ming Zhang

Motivated by the observation of two distinct superconducting phases in the moir\'eless ABC-stacked rhombohedral trilayer graphene, we investigate the electron-acoustic-phonon coupling as a possible pairing mechanism. We predict the…

Superconductivity · Physics 2021-10-26 Yang-Zhi Chou , Fengcheng Wu , Jay D. Sau , Sankar Das Sarma

Recent experiments indicate that crystalline graphene multilayers exhibit much of the richness of their twisted counterparts, including cascades of symmetry-broken states and unconventional superconductivity. Interfacing Bernal bilayer…

Strongly Correlated Electrons · Physics 2025-09-16 Jin Ming Koh , Jason Alicea , Étienne Lantagne-Hurtubise
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