We discuss a Kohn-Luttinger-like mechanism for superconductivity in Bernal bilayer graphene and rhombohedral trilayer graphene. Working within the continuum model description, we find that screened long-range Coulomb interaction alone gives rise to with critical temperatures agree experiments. observe order parameter changes sign between valleys, which implies both materials are valley-singlet, spin-triplet superconductors. Adding Ising spin-orbit coupling leads significant enhancement...

The group of moiré graphene superconductors keeps growing, and by now it contains twisted multilayers as well untwisted stacks. We analyze here the contribution long-range charge fluctuations in superconductivity double bilayers helical trilayers, compare results to bilayer graphene. A diagrammatic approach which depends on a few, well-known parameters is used. find that critical temperature order parameter differ significantly between trilayers one hand, other. This trend, consistent with...

Motivated by the recent experimental detection of superconductivity in Bernal bilayer (AB) and rhombohedral trilayer (ABC) graphene, we study emergence multilayer graphene based on a Kohn-Luttinger (KL)-like mechanism which pairing glue is screened Coulomb interaction. We find that electronic interactions alone can drive AB ABC with critical temperatures good agreement experimentally observed ones, allowing us to further predict from ABA ABAB tetralayer ABCA graphene. By comparing ($T_c$)...

Junctions provide a wealth of information on the symmetry order parameter superconductors. We analyze junctions between scanning tunneling microscope (STM) tip and superconducting twisted bilayer graphene (TBG) TBG Josephson (JJs). compare phases that are even or odd under valley exchange (s- f-wave). The critical current in mixed (s f) JJs strongly depends angle junction lattice. In STM-TBG junctions, due to Andreev reflection, f-wave leads prominent peak subgap conductance, as seen experiments.

Angle disorder is an intrinsic feature of twisted bilayer graphene and other moir\'e materials. Here, we discuss electron transport in the presence angle disorder. We compute local density states Landauer-B\"uttiker transmission through barrier width comparable to period, using a decimation technique based on real space description. find that barriers which separate regions where bands differ by 50% or more lead minor suppression transmission, close one for normal incidence, reminiscent...

Junctions provide a wealth of information on the symmetry order parameter superconductors. We analyze junctions between scanning tunneling microscope (STM) tip and superconducting twisted bilayer graphene (TBG) TBG Josephson (JJs). compare phases that are even or odd under valley exchange (s- f-wave). The critical current in mixed f-) JJs strongly depends angle junction lattice. In STM-TBG junctions, due to Andreev reflection, f-wave leads prominent peak subgap conductance, as seen experiments.

We analyze the elastic properties, structural effects, and low-energy physics of a sheared nanoribbon placed on top graphene, which creates gradually changing moiré pattern. By means classical model we derive strains in ribbon obtain its electronic energy spectrum with scaled tight-binding model. The size region is determined by balance between van der Waals energy, different regimes are identified. Near clamped edge, moderate small twist angles lead to one-dimensional channels. long behaves...

Inspired by recent experimental discoveries of superconductivity in chirally-stacked and twisted multilayer graphene, we study models $f$-wave on the honeycomb lattice with arbitrary numbers layers. These respect a mirror symmetry that allows classification bands mirror-projected winding number $\nu_\pm$. For odd layers, systems are topologically nontrivial $\nu_\pm = \pm 1$. Along each mirror-preserving edge armchair nanoribbons, there two protected Majorana zero modes. modes present even...

We discuss a Kohn-Luttinger-like mechanism for superconductivity in Bernal bilayer graphene and rhombohedral trilayer graphene. Working within the continuum model description, we find that screened long-range Coulomb interaction alone gives rise to with critical temperatures agree experiments. observe order parameter changes sign between valleys, which implies both materials are valley-singlet, spin-triplet superconductors. Adding Ising spin-orbit coupling leads significant enhancement...

Motivated by the recent experimental detection of superconductivity in Bernal bilayer (AB) and rhombohedral trilayer (ABC) graphene, we study emergence multilayer graphene based on a Kohn-Luttinger (KL)-like mechanism which pairing glue is screened Coulomb interaction. We find that electronic interactions alone can drive AB ABC with critical temperatures good agreement experimentally observed ones, allowing us to further predict from ABA ABAB tetralayer ABCA graphene. By comparing ($T_c$)...

Motivated by a recent experiment [Kapfer et. al., Science {\bf 381}, 677 (2023)], we analyze the structural effects and low-energy physics of bent nanoribbon placed on top graphene, which creates gradually changing moir\'e pattern. By means classical elastic model derive strains in ribbon obtain its spectrum with scaled tight-binding model. The size region is determined balance between van der Waals energy, different regimes are identified. Near clamped edge, strong small angles leads to...