Pinning landscape of moiré superconductors
Author: Moghayer, Ilia
Affiliation: ETH Zurich
Type: Poster
Display Dates: 20.07.2026 - 21.07.2026
Board: MT-066
Moiré materials are 2D layers stacked on top of each other with a slight twist angle or lattice mismatch. We develop a Ginzburg--Landau framework to describe the vortex pinning landscape of moiré superconductors, in which spatial inhomogeneity enters through spatially varying superconducting parameters.
We show that intrinsic periodic modulation inherited from the moiré lattice creates a periodic pinning potential for vortices. This contribution scales as $\sim \exp\!\left(-\frac{4\pi}{\sqrt{3}} \frac{\xi}{L_m}\right)$,
where \(\xi\) is the coherence length and \(L_m\) is the moiré length. As a result, the pinning channel can vanish even when the coherence length and moiré period are comparable. Depending on the magnitude of \(\xi/L_m\), intrinsic periodic pinning can be relevant, such as in supermoiré and twisted NbSe\(_2\) structures, or strongly suppressed such that this pinning channel becomes negligible, as in magic-angle graphene systems. We further show that local twist angle variations can partially lift this suppression. Applying our framework to magic-angle graphene, we find that bulk pinning is dominated by disorder-induced inhomogeneity rather than intrinsic moiré periodicity.
We show that intrinsic periodic modulation inherited from the moiré lattice creates a periodic pinning potential for vortices. This contribution scales as $\sim \exp\!\left(-\frac{4\pi}{\sqrt{3}} \frac{\xi}{L_m}\right)$,
where \(\xi\) is the coherence length and \(L_m\) is the moiré length. As a result, the pinning channel can vanish even when the coherence length and moiré period are comparable. Depending on the magnitude of \(\xi/L_m\), intrinsic periodic pinning can be relevant, such as in supermoiré and twisted NbSe\(_2\) structures, or strongly suppressed such that this pinning channel becomes negligible, as in magic-angle graphene systems. We further show that local twist angle variations can partially lift this suppression. Applying our framework to magic-angle graphene, we find that bulk pinning is dominated by disorder-induced inhomogeneity rather than intrinsic moiré periodicity.