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We study strongly correlated superconductivity in magic-angle twisted bilayer graphene (MATBG) using variational Gutzwiller wavefunction where the Gutzwiller projector $\hat{P}_{R}$ is allowed to break charge U(1) symmetry to accommodate…

Strongly Correlated Electrons · Physics 2026-04-09 Matthew Shu Liang , Yi-Jie Wang , Geng-Dong Zhou , Zhi-Da Song , Xi Dai

We theoretically study exotic superconducting phases in graphenelike single-sheet material BC$_3$ doped to its type-II Van Hove singularity whose saddle point momenta are {\it not} time-reversal-invariant. From combined renormalization…

Strongly Correlated Electrons · Physics 2015-11-04 Xi Chen , Yugui Yao , Hong Yao , Fan Yang , Jun Ni

We propose a theory for how the weak phonon-mediated interaction ($J_{\rm A}\!=\!1\!\sim\!4$meV) wins over the prohibitive Coulomb repulsion ($U\!=\!30\!\sim\!60$meV) and leads to a superconductor in magic-angle twisted bilayer graphene…

Superconductivity · Physics 2024-10-03 Yi-Jie Wang , Geng-Dong Zhou , Shi-Yu Peng , Biao Lian , Zhi-Da Song

Being resilient to magnetic field, Ising superconductor serves as an exceptional platform for studying the interplay between superconductivity and magnetism. In this Letter, we first explore the transport properties of a two-terminal…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Gaoyang Li , Sourabh Patil , Yanxia Xing , Wolfgang Belzig , Gaomin Tang

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

In the large $U$ limit, the ground state of the half-filled, nearest-neighbor Hubbard model on the triangular lattice is the three-sublattice antiferromagnet. In sharp contrast with the square-lattice case, where transverse spin-waves and…

Condensed Matter · Physics 2009-10-22 R. Cote , A. -M. S. Tremblay

In the presence of a large perpendicular electric field, Bernal-stacked bilayer graphene (BLG) features several broken-symmetry metallic phases as well as magnetic-field-induced superconductivity. The superconducting state is quite fragile,…

The origin of superconductivity in magic-angle twisted bilayer graphene has been a subject of intense debate. While some experimental evidence indicated an unconventional pairing mechanism, efforts to tune the critical temperature by…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 Julien Barrier , Liangtao Peng , Shuigang Xu , V. I. Fal'ko , K. Watanabe , T. Tanigushi , A. K. Geim , S. Adam , Alexey I. Berdyugin

An interlayer phase coherence develops spontaneously in the bilayer quantum Hall system at the filling factor $\nu =1$. On the other hand, the spin and pseudospin degrees of freedom are entangled coherently in the canted antiferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Yusuke Hama , George Tsitsishvili , Zyun F. Ezawa

Twisted bilayer graphene (TBG) realizes a highly tunable, strongly interacting system featuring superconductivity and various correlated insulating states. We establish gate-defined wires in TBG with proximity-induced spin-orbit coupling as…

Strongly Correlated Electrons · Physics 2022-02-23 Alex Thomson , Ina Sorensen , Stevan Nadj-Perge , Jason Alicea

The quantum transport properties of graphene and monolayer $MoS_2$ superconductor heterostructures has been of considerable importance in the recent few years. Layered nature of molybdenum disulfide permits the superconducting correlation…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Maryam Khezerlou , Hadi Goudarzi

Magnetic gates in close proximity to graphene can induce ferromagnetic correlations. We study the effect of such induced magnetization dependent Zeeman splittings on the graphene transport properties. We estimate that induced spin…

Mesoscale and Nanoscale Physics · Physics 2008-03-07 H. Haugen , Daniel Huertas-Hernando , Arne Brataas

We study the inter-valley scattering induced by the Coulomb repulsion as a purely electronic mechanism for the origin of superconductivity in few layers of graphene. The pairing is strongly favored by the presence of van Hove singularities…

Strongly Correlated Electrons · Physics 2023-01-31 Tommaso Cea

We study theoretically many-body properties of magic-angle twisted bilayer graphene for different doping levels. Our investigation is focused on the emergence, stability, and manifestations of nematicity of the ordered low-temperature…

Strongly Correlated Electrons · Physics 2020-10-29 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

We present a simple model that we believe captures the key aspects of the competition between superconducting and insulating states in twisted bilayer graphene. Within this model, the superconducting phase is primary, and arises at generic…

Strongly Correlated Electrons · Physics 2019-09-16 Yang-Zhi Chou , Yu-Ping Lin , Sankar Das Sarma , Rahul M. Nandkishore

A series of recent experiments have demonstrated robust superconductivity in magic-angle twisted trilayer graphene (TTG). In particular, a recent work by Cao et al. (arxiv:2103.12083) studies the behavior of the superconductor in an…

Superconductivity · Physics 2021-11-17 Ethan Lake , T. Senthil

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

We employ a functional renormalization group approach to ascertain the pairing mechanism and symmetry of the superconducting phase observed in rhombohedral trilayer graphene. Superconductivity in this system occurs in a regime of carrier…

Superconductivity · Physics 2023-04-19 Wei Qin , Chunli Huang , Tobias Wolf , Nemin Wei , Igor Blinov , Allan H. MacDonald

The search for superconductivity with unconventional pairing symmetry has been a central focus in the study of strongly correlated electron systems. In this work, we report a numerically exact study of the spin-triplet pairing in a…

Quantum Gases · Physics 2025-11-26 Xing-Can Liu , Yu-Feng Song , Yuan-Yao He , Tao Ying , Xueru Zhang

Recently, great experimental efforts towards designing topological electronic states have been invested in layered incommensurate heterostructures which form various nano- and meso-scale domains. In particular, it has become clear that a…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Jean-Baptiste Touchais , Pascal Simon , Andrej Mesaros