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/

Global: Zendy Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Motivated by recent developments in the experimental study of superconductinggraphene and transition metal dichalcogenides, we investigate superconductivityof the Kane-Mele (KM) model with short-range attractive interactions on thetwo-dimensional honeycomb lattice. We show that intra-valley spin-tripletpairing arises from nearest-neighbor (NN) attractive interaction and theintrinsic spin-orbit coupling. We demonstrate this in two independentapproaches: We study superconducting instability driven by condensation ofCooperons, which are in-gap bound states of two conduction electrons, withinthe $T$-matrix approximation and also study the superconducting ground statewithin the mean-field theory. We find that Cooperons with antiparallel spinscondense at the $K$ and $K'$ points. This leads to the emergence of anintra-valley spin-triplet pairing state belonging to the irreduciblerepresentation A$_1$ of the point group $C_{6v}$. The fact that this pairingstate has opposite chirality for $K$ and $K'$ identifies this state as a"helical" valley-triplet state, the valley-analog to the $^3$He-B phase in twodimension. Because of the finite center of mass momentum of Cooper pairs, thepair amplitude in NN bonds exhibits spatial modulation on the length scale oflattice constant, such that this pairing state may be viewed as a pair-densitywave state. We find that the pair amplitude spontaneously breaks thetranslational symmetry and exhibits a $p$-Kekul\'e pattern. We also discuss theselection rule for pairing states focusing the characteristic band structure ofthe KM model and the Berry phase effects to the emergence of the intra-valleypairing state.

Cooperon condensation and intra-valley pairing states in honeycomb Dirac systems