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The origin of superconductivity in twisted bilayer graphene -- whether phonon-driven or electron-driven -- remains unresolved, in part due to the absence of a quantitative and efficient model for electron-phonon coupling (EPC). In this…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Ziyan Zhu , Thomas P. Devereaux

Recent discovery of superconductivity in the twisted bilayer graphene has stimulated numerous theoretical proposals concerning its exact gap symmetry. Among them, $d+id$ or $p+ip$-wave were believed to be the most plausible solutions. Here…

Superconductivity · Physics 2019-06-04 Zhe Liu , Yu Li , Yi-feng Yang

The emergence of flat bands and correlated behaviors in 'magic angle' twisted bilayer graphene (tBLG) has sparked tremendous interest, though many aspects of the system are under intense debate. Here we report observation of both…

The microscopic pairing mechanism for superconductivity in magic-angle twisted bilayer graphene remains an open question. Recent experimental studies seem to rule out a purely electronic mechanism due to the insensitivity of the critical…

Superconductivity · Physics 2024-03-19 Liangtao Peng , Indra Yudhistira , Giovanni Vignale , Shaffique Adam

We study superconductivity and magnetism in bilayer nickelates from an itinerant perspective. Starting from a tight binding fit to recent ARPES measurements on compressively strained thin films, we incorporate the standard set of onsite…

Recently, gate-defined Josephson junctions in magic angle twisted bilayer graphene (MATBG) were studied experimentally and highly unconventional Fraunhofer patterns were observed. In this work, we show that an interaction-driven…

Mesoscale and Nanoscale Physics · Physics 2023-05-01 Ying-Ming Xie , Dmitri K. Efetov , K. T. Law

The salient property of the electronic band structure of twisted bilayer graphene (TBG), at the so-called magic angle (MA), is the emergence of flat bands around the charge neutrality point. These bands are associated with the observed…

Mesoscale and Nanoscale Physics · Physics 2023-09-04 Sonia Haddad , Takeo Kato , Jihang Zhu , Lassaad Mandhour

Magic-angle twisted bilayer graphene (MATBG) has been extensively explored both theoretically and experimentally as a suitable platform for a rich and tunable phase diagram that includes ferromagnetism, charge order, broken symmetries, and…

Mesoscale and Nanoscale Physics · Physics 2024-05-16 Lauro B. Braz , George B. Martins , Luis G. G. V. Dias da Silva

We reveal a striking correspondence between electron- and phonon-driven pairing in twisted bilayer graphene (TBG) by mapping an atomistic electronically driven pairing model onto an effective inter-valley, intra-Chern description,…

Superconductivity · Physics 2026-03-09 Lucas Baldo , Patric Holmvall , Annica M. Black-Schaffer

It has been shown that the Kohn--Luttinger superconductivity mechanism interplaying with other types of ordering can be implemented in systems with a hexagonal lattice. A number of unusual properties of such systems in the normal phase have…

Song and Bernevig (SB) have recently proposed a topological heavy fermion description of the physics of magic angle twisted bilayer graphene (MATBG), involving the hybridization of flat band electrons with a relativistic conduction sea. We…

Strongly Correlated Electrons · Physics 2025-04-29 Liam L. H. Lau , Piers Coleman

We employ a large-scale, unbiased constrained-path quantum Monte Carlo method to systematically simulate the effective two-orbital Hubbard model for twisted bilayer graphene in order to gain deeper insight into the relationship between…

Superconductivity · Physics 2025-11-11 Shi-Chao Fang , Xin-Yi Liao

We report low-temperature measurements of two adjacent, gate-defined Josephson junctions (JJs) in magic-angle twisted bilayer graphene (MATBG) at a moir\'e filling factor near $\nu = -2$. We show that both junctions exhibit a prominent,…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 A. Rothstein , R. J. Dolleman , L. Klebl , A. Achtermann , F. Volmer , K. Watanabe , T. Taniguchi , F. Hassler , L. Banszerus , B. Beschoten , C. Stampfer

It was recently suggested that the topology of magic-angle twisted bilayer graphene's (MATBG) flat bands could provide a novel mechanism for superconductivity distinct from both weakly-coupled BCS theory and the $d$-wave phenomenology of…

Strongly Correlated Electrons · Physics 2022-07-27 Shubhayu Chatterjee , Matteo Ippoliti , Michael P. Zaletel

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

Strongly Correlated Electrons · Physics 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

Moir\'e quantum matter has emerged as a novel materials platform where correlated and topological phases can be explored with unprecedented control. Among them, magic-angle systems constructed from two or three layers of graphene have shown…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Yuan Cao , Jeong Min Park , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

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 recent experimental detection of superconductivity in Bernal bilayer (AB) and rhombohedral trilayer (ABC) graphene, we study the emergence of superconductivity in multilayer graphene based on a Kohn-Luttinger (KL)-like…

Mesoscale and Nanoscale Physics · Physics 2024-02-01 Ziyan Li , Xueheng Kuang , Alejandro Jimeno-Pozo , Héctor Sainz-Cruz , Zhen Zhan , Shengjun Yuan , Francisco Guinea

It has long been speculated that quasi-two-dimensional superconductivity can reappear above its semiclassical upper critical field due to Landau quantization, yet this reentrant property has never been observed. Here, we argue that twisted…

Superconductivity · Physics 2021-09-27 Gaurav Chaudhary , A. H. MacDonald , M. R. Norman

We investigate the interplay of magnetic fluctuations and Cooper pairing in twisted bilayer graphene from a purely microscopic model within a large-scale tight-binding approach resolving the \AA ngstr\"om scale. For local onsite repulsive…

Superconductivity · Physics 2021-01-13 Ammon Fischer , Lennart Klebl , Carsten Honerkamp , Dante M. Kennes
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