English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Performing a leading-order renormalization group analysis, here we computethe effects of generic local or short-range electronic interactions inmonolayer and Bernal bilayer graphene. Respectively in these two systems chiralquasiparticles display linear and biquadratic band touching, leading tolinearly vanishing and constant DOS. Consequently, the former system remainsstable for weak enough local interactions, and supports a variety of orderedphases only beyond a critical strength of interactions. By contrast, orderedphases can nucleate for sufficiently weak interactions in bilayer graphene. Bytuning the strength of all symmetry allowed local interactions, we constructvarious cuts of the phase diagram at zero and finite temperature and chemicaldoping. Typically, at zero doping insulating phases (such ascharge-density-wave, antiferromagnet, quantum anomalous and spin Hallinsulators) prevail at the lowest temperature, while gapless nematic or smecticliquids stabilize at higher temperatures. On the other hand, at finite dopingthe lowest temperature ordered phase is occupied by a superconductor. Besidesanchoring such an organizing principle among the candidate ordered phases, wealso establish a selection rule between them and the interaction channelresponsible for the breakdown of linear or biquadrtic chiral nodal Fermiliquid. In addition, we also demonstrate the role of the normal state bandstructure in selecting the pattern of symmetry breaking from a soup ofpreselected incipient competing orders. As a direct consequence of theselection rule, while an antiferromagnetic phase develops in undoped monolayerand bilayer graphene, the linear (biquadratic) band dispersion favorscondensation of a spin-singlet nematic (translational symmetry breakingKekul\'e) superconductor in doped monolayer (bilayer) graphene, when the onsite Hubbard repulsion dominates in these systems.

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders