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We model the newly synthesized magic-angle twisted bilayer-graphene superconductor with two $p_{x,y}$-like Wannier orbitals on the superstructure honeycomb lattice, where the hopping integrals are constructed via the Slater-Koster formulism…

Superconductivity · Physics 2018-11-28 Cheng-Cheng Liu , Li-Da Zhang , Wei-Qiang Chen , Fan Yang

We develop a weak coupling approach to superconductivity in twisted bilayer graphene, starting from the Fermi liquid regime. A key observation is that near half filling, the fermiology consists of well nested Fermi pockets derived from…

Strongly Correlated Electrons · Physics 2022-01-25 Yi-Zhuang You , Ashvin Vishwanath

We study the instability of the metallic state towards the formation of a new ground state in graphene doped near the van Hove singularity. The system is described by the Hubbard model and a field theoretical approach is used to calculate…

Mesoscale and Nanoscale Physics · Physics 2011-09-16 D. Makogon , R. van Gelderen , R. Roldán , C. Morais Smith

We propose an SU(4) spin-valley-fermion model to investigate the superconducting instabilities of twisted bilayer graphene (TBG). In this approach, bosonic fluctuations associated with an emergent SU(4) symmetry, corresponding to combined…

Superconductivity · Physics 2021-01-20 Yuxuan Wang , Jian Kang , Rafael M. Fernandes

Triplet superconductivity in Sr_2RuO_4 is investigated with main interest on its internal degree of freedom. We perform a microscopic calculation to investigate how the chiral state d(k) = (k_x \pm ik_y)z is realized among the underlying…

Superconductivity · Physics 2009-11-10 Youichi Yanase , Masao Ogata

We investigate the superconductivity (SC) driven by correlation effects in electron-doped bilayer BiH near a type-II van Hove singularity (vHS). By functional renormalization group, we find triplet $p$-wave pairing prevails in the…

Superconductivity · Physics 2019-01-30 L. Yang , W. S. Wang , D. Wang , Q. H. Wang

Motivated by recent discovery of correlated insulating and superconducting behavior in twisted bilayer graphene, we revisit graphene's honeycomb lattice doped close to the van Hove singularity, using the truncated unity functional…

Strongly Correlated Electrons · Physics 2021-07-20 Song-Jin O , Yong-Hwan Kim , Ok-Gyong Pak , Kum-Hyok Jong , Chol-Won Ri , Hak-Chol Pak

An out-of-plane magnetic field can always suppress superconductivity. In Bernal-stacked bilayer graphene (BBG), recently observed activation of superconductivity (SC) through either in-plane magnetic fields or proximate spin-orbit coupling…

Strongly Correlated Electrons · Physics 2024-05-10 Jun Ho Son , Yi-Ting Hsu , Eun-Ah Kim

A highly unconventional superconducting state with a spin-singlet $d_{x^2-y^2}\pm id_{xy}$-wave, or chiral d-wave, symmetry has recently been proposed to emerge from electron-electron interactions in doped graphene. Especially graphene…

Superconductivity · Physics 2017-02-08 Annica M. Black-Schaffer , Carsten Honerkamp

We theoretically explore possible unconventional superconductivity induced by weak repulsive interactions in twisted bilayer TMD (e.g. WSe$_2$) in the presence of an out-of-plane electric field. Using renormalization group (RG) analysis, we…

Superconductivity · Physics 2024-05-17 Yi-Ming Wu , Zhengzhi Wu , Hong Yao

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

Graphene sandwiched between semiconducting monolayers of ferromagnet Cr$_2$Ge$_2$Te$_6$ and transition-metal dichalcogenide WS$_2$ acquires both spin-orbit (SO), of valley-Zeeman and Rashba types, and exchange couplings. Using…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Klaus Zollner , Marko D. Petrovic , Kapildeb Dolui , Petr Plechac , Branislav K. Nikolic , Jaroslav Fabian

We study the interplay between superconductivity and spin density wave order in graphene doped to 3/8 or 5/8 filling (a Van Hove doping). At this doping level, the system is known to exhibit weak coupling instabilities to both chiral d + id…

Strongly Correlated Electrons · Physics 2012-09-20 Rahul Nandkishore , Andrey V. Chubukov

We investigate spin-valley instabilities and their connection to the reentrant superconducting states recently observed in the twisted bilayer dichalcogenide WSe$_2$ at a $5^o$ twist angle. Starting from an effective three-orbital faithful…

Superconductivity · Physics 2026-01-21 Lauro B. Braz , Luis G. G. V. Dias da Silva

Van der Waals heterostructures provide a rich platform for emergent physics due to their tunable hybridization of electronic orbital- and spin-degrees of freedom. Here, we show that a heterostructure formed by twisted bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Tobias M. R. Wolf , Oded Zilberberg , Gianni Blatter , Jose L. Lado

Motivated by the recent experimental discovery of superconductivity in rhombohedral tetralayer graphene, we investigate the pairing mechanism arising from the density-density interactions within the random-phase approximation. This approach…

Superconductivity · Physics 2026-04-21 Qiong Qin , Congjun Wu

We use the truncated-unity functional renormalization group (TUFRG) to study many-body instabilities of correlated electrons in graphene doped near the van Hove singularity (VHS). The system is described by an extended Hubbard model…

Strongly Correlated Electrons · Physics 2025-09-25 Jin-Ju Ri , Song-Jin O , Chol-Su O

Using finite-temperature determinantal quantum Monte Carlo calculations, we re-examine the pairing susceptibilities in the Hubbard model on the honeycomb lattice, focusing on doping levels onto and away from the van Hove singularity (VHS)…

Strongly Correlated Electrons · Physics 2018-02-21 Tao Ying , Stefan Wessel

We consider the most energetically favorable symmetry-allowed spin-singlet and spin-triplet superconducting pairing symmetries in twisted bilayer graphene at the magic angle, whose normal state physics is described by a six-band effective…

Superconductivity · Physics 2023-07-27 Emile Pangburn , Miguel Alvarado , Oladunjoye A. Awoga , Catherine Pépin , Cristina Bena

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
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