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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 study $d$-wave superconductivity in twisted bilayer graphene and reveal phenomena that arise due to the moir\'e superlattice. In the $d$-wave pairing, the relative motion (RM) of two electrons in a Cooper pair can have either $d+id$ or…

Superconductivity · Physics 2019-05-09 Fengcheng Wu

Superconducting proximity effects in graphene have received a great deal of attention for over a decade now. This has unveiled a plethora of exotic effects linked to the specificities of graphene's electronic properties. The vast majority…

Strongly Correlated Electrons · Physics 2022-06-14 D. Perconte , D. Bercioux , B. Dlubak , P. Seneor , F. S. Bergeret , J. E. Villegas

Graphene is known to be non-superconducting. However, surprising superconductivity is recently discovered in a flat-band in a twisted bi-layer graphene. Here we show that superconductivity can be more easily realized in topological…

Superconductivity · Physics 2018-11-14 Feng Xu , Po-Hao Chou , Chung-Hou Chung , Ting-Kuo Lee , Chung-Yu Mou

Electron pairing in the vast majority of superconductors follows the Bardeen-Cooper-Schrieffer theory of superconductivity, which describes the condensation of electrons into pairs with antiparallel spins in a singlet state with an s-wave…

The pair-potential and current density around a single vortex of the two-dimensional chiral p-wave superconductor with ${\mib d}={\mib z}(p_x \pm \iu p_y)$ are determined self-consistently within the quasiclassical theory of…

Superconductivity · Physics 2009-11-07 Yusuke Kato , Nobuhiko Hayashi

We investigate the effect of edges on the intrinsic electron-electron interaction driven d-wave superconducting state in graphene doped close to the van Hove singularity. While the bulk is in a chiral $d_{x^2-y^2}+id_{xy}$ state, the order…

Superconductivity · Physics 2015-03-20 Annica M. Black-Schaffer

We identify graphene as a system where chiral superconductivity can be realized. Chiral superconductivity involves a pairing gap that winds in phase around the Fermi surface, breaking time reversal symmetry. We consider a unique situation…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Rahul Nandkishore , Leonid Levitov , Andrey Chubukov

Chiral $d$-wave superconductivity has been proposed in a number of different materials, but characteristic experimental fingerprints have been largely lacking. We show that quadruply quantized coreless vortices are prone to form and offer…

Superconductivity · Physics 2023-10-09 Patric Holmvall , Annica M. Black-Schaffer

We show that effective superconducting orders generally emerge at low energy in the superconducting state of graphene with conventionally defined pairing symmetry . We study such a particular interesting example, the $d_{x^2-y^2}+id'_{xy}$…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Yongjin Jiang , Dao-Xin Yao , E. W. Carlson , Han-Dong Chen , JiangPing Hu

We present a method for detecting the chirality $\chi$ of a ($d_{zx}+i \chi d_{yz}$)-wave superconductor through the analysis of the local density of states (LDOS) at the vortex core. Employing the quasiclassical Eilenberger theory, we…

Superconductivity · Physics 2024-09-13 Soma Yoshida , Yukio Tanaka , Alexander A. Golubov , Shu-Ichiro Suzuki

A systematic perturbation theory is developed to describe the magnetic field-induced subdominant $s$- and $d_{xy}$-wave order parameters in the mixed state of a $d_{x^2-y^2}$-wave superconductor, enabling us to obtain, within weak-coupling…

Superconductivity · Physics 2009-10-31 Mei-Rong Li , P. J. Hirschfeld , P. Woelfle

Chiral two-dimensional electron gases, which capture the electronic properties of graphene and rhombohedral graphene systems, exhibit singular momentum-space vortices and are susceptible to interaction-induced topological Haldane phases.…

Superconductivity · Physics 2025-12-25 Yafis Barlas , Fan Zhang , Enrico Rossi

Vortex structure of pure $d_{x^2-y^2}$-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. Selfconsistent solution for the $d$-wave pair potential is obtained for the first time in…

supr-con · Physics 2009-10-28 M. Ichioka , N. Hayashi , N. Enomoto , K. Machida

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 that the {\pi}-electrons of graphene can be spin-polarized to create a phase with a significant spin-orbit gap at the Dirac point (DP) using a graphene-interfaced topological insulator hybrid material. We have grown epitaxial…

Applying a variational Monte Carlo method to a two-dimensional t-J model, we study the nonmonotonic d_{x^2-y^2}-wave superconductivity, observed by Raman scattering and ARPES experiments in the electron-doped cuprates. As a gap function in…

Superconductivity · Physics 2009-11-11 Tsutomu Watanabe , Takafumi Miyata , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue

We investigate the possibility of inducing superconductivity in a graphite layer by electronic correlation effects. We use a phenomenological microscopic Hamiltonian which includes nearest neighbor hopping and an interaction term which…

Superconductivity · Physics 2010-10-25 Annica M. Black-Schaffer , Sebastian Doniach

We investigate the structure of vortex-bound states in spin-singlet chiral superconductors with ($d_{x^2-y^2} \pm i d_{xy}$)-wave and ($d_{xz} \pm id_{yz}$)-wave pairing symmetries. It is found that vortices in the ($d_{xz} \pm…

Superconductivity · Physics 2016-03-15 Darrick Lee , Andreas P. Schnyder

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
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