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Using a numerical tight-binding approach based on the Chebyshev-Bogoliubov-de Gennes method we describe Josephson junctions made of multilayer graphene contacted by top superconducting gates. Both Bernal (ABA) and rhombohedral (ABC)…

Superconductivity · Physics 2014-01-20 W. A. Munoz , L. Covaci , F. M. Peeters

We develop a theory for interlayer pairing of chiral electrons in graphene materials which results in an unconventional superconducting (S) state with s-wave spin-triplet order parameter. In a pure bilayer graphene, this superconductivity…

Mesoscale and Nanoscale Physics · Physics 2012-12-10 Mir Vahid Hosseini , Malek Zareyan

We show that rhombohedral graphite may support surface superconductivity with an unusual relation between the BCS coupling constant and the order parameter. This feature results from the properties of the states localized on the graphite…

Superconductivity · Physics 2019-08-15 N. B. Kopnin , T. T. Heikkila

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

This work theoretically analyzes electronic ordering in AA-stacked bilayer graphene and the role of the Coulomb interaction in these many-body phenomena. Using the random phase approximation to account for screening, we find intra-layer…

Superconductivity · Physics 2024-10-15 A. O. Sboychakov , A. L. Rakhmanov , A. V. Rozhkov

We investigate the competition between acoustic-phonon-mediated superconductivity and the long-range Coulomb interaction in moir\'eless graphene multilayers, specifically, Bernal bilayer graphene, rhombohedral trilayer graphene, and…

Superconductivity · Physics 2022-07-11 Yang-Zhi Chou , Fengcheng Wu , Jay D. Sau , Sankar Das Sarma

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

The extrinsic stacking sequence based on intrinsic crystal symmetry in multilayer two-dimensional materials plays a significant role in determining their electronic and optical properties. Compared with Bernal-stacked (ABA) multilayer…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Zuo Feng , Wenxuan Wang , Yilong You , Yifei Chen , Kenji Watanabe , Takashi Taniguchi , Chang Liu , Kaihui Liu , Xiaobo Lu

The discovery of superconductivity and correlated electronic states in the flat bands of twisted bilayer graphene has raised a lot of excitement. Flat bands also occur in multilayer graphene flakes that present rhombohedral (ABC) stacking…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Jean Paul Nery , Matteo Calandra , Francesco Mauri

We review all symmetry-allowed spin-singlet and spin-triplet superconducting (SC) order parameters in graphene ($s$-wave, $d$-wave, $p$-wave, and $f$-wave) generated by generic onsite, nearest-neighbor (NN), and next-to-nearest-neighbor…

Moir\'e superlattices in van der Waals heterostructures are gaining increasing attention because they offer new opportunities to tailor and explore unique electronic phenomena when stacking 2D materials with small twist angles. Here, we…

Materials Science · Physics 2021-04-28 Junxi Yu , Rajiv Giridharagopal , Yuhao Li , Kaichen Xie , Jiangyu Li , Ting Cao , Xiaodong Xu , David S. Ginger

Motivated by the recent discoveries of superconductivity in bilayer and trilayer graphene, we theoretically investigate superconductivity and other interaction-driven phases in multilayer graphene stacks. To this end, we study the density…

Superconductivity · Physics 2023-03-06 Areg Ghazaryan , Tobias Holder , Erez Berg , Maksym Serbyn

Understanding the origin of superconductivity in correlated two-dimensional materials is a key step in leveraging material engineering techniques for next-generation nanoscale devices. The recent demonstration of superconductivity in Bernal…

Superconductivity · Physics 2024-03-26 Emil Viñas Boström , Ammon Fischer , Jonas B. Profe , Jin Zhang , Dante M. Kennes , Angel Rubio

We show that the many-body features of graphene band structure and electronic response can be accurately evaluated by applying many-body perturbation theory to a tight-binding (TB) model. In particular, we compare TB results for the optical…

Atomic and Molecular Clusters · Physics 2025-06-10 Alberto Guandalini , Giovanni Caldarelli , Francesco Macheda , Francesco Mauri

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…

Stackings in graphene have a pivotal role in properties to be discussed in the future, as seen in the recently found superconductivity of twisted bilayer graphene. Beyond bilayer graphene, the stacking order of multilayer graphene can be…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Raúl Guerrero-Avilés , Marta Pelc , Fabian Geisenhof , Thomas Weitz , Andrés Ayuela

Recent experiments have reported the surprising observation of superconductivity in flavor polarized, nearly flat bands (FBs) of rhombohedral graphene. Motivated by these findings, we introduce a class of models for single-flavor FBs with…

Strongly Correlated Electrons · Physics 2025-09-09 Zhaoyu Han , Jonah Herzog-Arbeitman , Qiang Gao , Eslam Khalaf

Rhombohedral graphene multilayers host various broken-symmetry metallic phases as well as superconductors whose pairing mechanism and order parameter symmetry remain unsettled. Strikingly, experiments have revealed prominent new…

Superconductivity · Physics 2025-07-08 Zhiyu Dong , Étienne Lantagne-Hurtubise , Jason Alicea

Using a Green's function approach, we study phonon-mediated superconducting pairing symmetries that may arise in bilayer graphene where the monolayers are displaced in-plane with respect to each other. We consider a generic coupling…

Materials Science · Physics 2019-04-26 Mohammad Alidoust , Morten Willatzen , Antti-Pekka Jauho

Bernal stacked bilayer graphene subject to a superlattice potential can realize topological and stacked flat bands [1]. In the present work, we extend the study of a superlattice potential on graphene heterostructures to trilayer and…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 Sayed Ali Akbar Ghorashi , Jennifer Cano
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