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A spatially non-uniform superconducting phase is proposed as the electronic variational ground state for the attractive interactions between nearest neighbors on graphene's honeycomb lattice, close to and right at the filling one half. The…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Bitan Roy , Igor F. Herbut

We investigate superconducting order in the extended Hubbard model on the two-dimensional graphene lattice using the variational cluster approximation (VCA) with an exact diagonalization solver at zero temperature. Building on the results…

Strongly Correlated Electrons · Physics 2016-05-04 J. P. L. Faye , M. N. Diarra , D. Sénéchal

Using a weak-coupling renormalization group formalism, we study competing ordered phases for repulsively interacting fermions on the bilayer honeycomb lattice away from half-filling, which is realized experimentally as doped bilayer…

Superconductivity · Physics 2014-05-26 James M. Murray , Oskar Vafek

Kekul\'{e}-ordered graphene on SiC realized by intercalating two-dimensional metal layers offers a versatile platform for exploring intriguing quantum states and phenomena. Here, we achieve the intercalation of…

Strongly Correlated Electrons · Physics 2025-09-24 Xiaodong Qiu , Tongshuai Zhu , Zhenjie Fan , Kaili Wang , Yuyang Mu , Bin Yang , Di Wu , Haijun Zhang , Can Wang , Huaiqiang Wang , Yi Zhang

Kekul\'e phases are Peierls-like lattice distortions in graphene that are predicted to host novel electronic states beyond graphene (1-8). Although the Kekul\'e phases are realized in graphene through introducing electron-electron…

Materials Science · Physics 2022-08-03 Mo-Han Zhang , Ya-Ning Ren , Qi Zheng , Xiao-Feng Zhou , Lin He

Exploration for superconductivity is one of the research frontiers in condensed matter physics. In strongly correlated electron systems, the emergence of superconductivity is often inhibited by the formation of a thermodynamically more…

Materials Science · Physics 2018-10-12 H. Oike , M. Kamitani , Y. Tokura , F. Kagawa

Breaking the intrinsic chirality of quasiparticles in graphene enables the emergence of new and intriguing phases. One such paradigmatic example is the bond density wave, which leads to a Kekul\'{e}-ordered structure and underpins exotic…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Dominik Szczȩśniak

Following the recent realization of an artificial version of Graphene in the electronic surface states of copper with judiciously placed carbon monoxide molecules inducing the honeycomb lattice symmetry (K. K. Gomes et al., Nature 483, 306…

Mesoscale and Nanoscale Physics · Physics 2013-01-31 Doron L. Bergman

We examine the low temperature behavior of the mixed state of a layered superconductor in the vicinity of a quantum critical point separating a pure superconducting phase from a phase in which a competing order coexists with…

Superconductivity · Physics 2009-11-07 Steven A. Kivelson , Dung-Hai Lee , Eduardo Fradkin , Vadim Oganesyan

We discuss a pairing mechanism in interacting two-dimensional multipartite lattices that intrinsically leads to a second order topological superconducting state with a spatially modulated gap. When the chemical potential is close to Dirac…

Superconductivity · Physics 2022-02-28 Tommy Li , Max Geier , Julian Ingham , Harley D. Scammell

The formation of a superlattice in graphene can serve as a way to modify its electronic bandstructure and thus to engineer its electronic transport properties. Recent experiments have discovered a Kekul\'e bond ordering in graphene…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Elias Andrade , Ramon Carrillo-Bastos , Pierre A. Pantaleón , Francisco Mireles

We study the superconducting phase transition, both in a graphene bilayer and in graphite. For that purpose we derive the mean-field effective potential for a stack of graphene layers presenting hopping between adjacent sheets. For…

Superconductivity · Physics 2020-10-05 Lizardo H. C. M. Nunes , E. C. Marino , A. L. Mota

Superconductivity and magnetic order strongly compete in many conventional superconductors, at least partly because both tend to gap the Fermi surface. In magnetically-ordered conventional superconductors, the competition between these…

Strongly Correlated Electrons · Physics 2017-03-29 D. G. Mazzone , R. Sibille , M. Bartkowiak , J. L. Gavilano , C. Wessler , M. Månsson , M. Frontzek , O. Zaharko , J. Schefer , M. Kenzelmann

Electronic and transport properties of Graphene, a one-atom thick crystalline material, are sensitive to the presence of atoms adsorbed on its surface. An ensemble of randomly positioned adatoms, each serving as a scattering center, leads…

Materials Science · Physics 2015-05-13 V. V. Cheianov , V. I. Fal'ko , O. Syljuasen , B. L. Altshuler

We study the superconducting correlations induced in graphene when it is placed between two superconductors, focusing in particular on the supercurrents supported by the 2D system. For this purpose we make use of a formalism placing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Gonzalez , E. Perfetto

The interplay of competing orders is relevant to high-temperature superconductivity known to emerge upon suppression of a parent antiferromagnetic order typically via charge doping. How such interplay evolves at low temperature---in…

Strongly Correlated Electrons · Physics 2017-07-14 Zuo-Dong Yu , Yuan Zhou , Wei-Guo Yin , Hai-Qing Lin , Chang-De Gong

The transport properties of electrons in graphene $p$-$n$ junction with uniform Kekul\'e lattice distortion have been studied using the tight-binding model and the Landauer-B\"uttiker formalism combined with the nonequilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Peipei Zhang , Chao Wang , Yu-Xian Li , Lixue Zhai , Juntao Song

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

We discuss the possibility of superconductivity in graphene taking into account both electron-phonon and electron-electron Coulomb interactions. The analysis is carried out assuming that the Fermi energy is far away from the Dirac points,…

Superconductivity · Physics 2011-12-13 M. Einenkel , K. B. Efetov

We investigate the interplay between superconductivity and nematic order in a two-dimensional electron gas with competing pairing and quadrupolar forward-scattering interactions. The model includes both $s$-wave and $d$-wave superconducting…

Superconductivity · Physics 2026-04-22 Nei Lopes , Guilherme da Silva do Vale , Daniel G. Barci
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