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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We employ the Green's function technique to investigate the vacancy-inducedquasi-localized magnetic moment formation in mono-layer graphene starting withthe Dirac Hamiltonian, which focuses on the {\pi}- orbitals only, involving thenearest neighbor(NN)(t) and moderate second neighbor(SN)(t' < t/3) hoppingintegrals. The vacancy defect is modeled by the addition of the on-siteperturbation potential to the Hamiltonian. We find that, when (t'/t) << 1, thevacancy induced {\pi}-state at the zero of energy(zero-mode state(ZMS)) doesnot inhabit the minority sub-lattice due to the strong scalar potential inducedby the vacancy(the ZMSs get lodged in the majority sub-lattice) whereas, when(t'/t) is increased, the ZMS is somewhat suppressed. This shows that, not onlythe shift of the Fermi energy away from the linearly-dispersive Dirac points,the issue of this topological localization is also hinged on the ratio (t'/t).Furthermore, when a vacancy is present, the three sp2- hybridized {\sigma}states of each of the three nearest-neighbor carbon atoms, forming a carbontriangle surrounding the vacancy, are close to the Fermi energy (EF). TheHund's coupling between these {\sigma} electrons and the remaining electronwhich occupies the {\pi} state spin polarizes the {\pi} state leading to localmoment formation close to EF. Since the system at the Fermi level has lowelectronic density, there is poor screening of such magnetic moments. This maylead to a high Curie temperature for such vacancy-induced moments.

Local Moment Formation by Vacancies in Mono-layer Graphene