Superconductivity, superfluidity and quantum geometry in twisted multilayer systems

P Törmä, S Peotta, BA Bernevig - Nature Reviews Physics, 2022 - nature.com
Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …

Multifrequency solitons in commensurate-incommensurate photonic moiré lattices

YV Kartashov, F Ye, VV Konotop, L Torner - Physical review letters, 2021 - APS
We predict that photonic moiré patterns created by two mutually twisted periodic sublattices
in quadratic nonlinear media allow the formation of parametric solitons under conditions that …

Observation of linear and nonlinear light localization at the edges of Moiré arrays

AA Arkhipova, YV Kartashov, SK Ivanov… - Physical review …, 2023 - APS
We observe linear and nonlinear light localization at the edges and in the corners of
truncated moiré arrays created by the superposition of periodic mutually twisted at …

Pythagoras superposition principle for localized eigenstates of two-dimensional moiré lattices

Z Gao, Z Xu, Z Yang, F Ye - Physical Review A, 2023 - APS
Moiré lattices are aperiodic systems formed by a superposition of two periodic lattices with a
relative rotational angle. In optics, the photonic moiré lattice has many appealing properties …

Triangular vortex lattices and giant vortices in rotating bubble Bose-Einstein condensates

AC White - Physical Review A, 2024 - APS
We show that three-dimensional spherical-shell condensates respond to rotation by forming
two aligned triangular Abrikosov-like vortex lattices on each hemispherical surface. The …

Linear and nonlinear edge and corner states in graphenelike moiré lattices

C Lu, Y Gao, X Cao, Y Ren, Z Han, Y Cai, Z Wen - Physical Review B, 2023 - APS
Graphene structures play a fundamental role in the exploration of edge states, topological
insulators, and electronic transport applications. In this paper, we propose a graphenelike …

Reduced Projection Method for Photonic Moiré Lattices

Z Gao, Z Xu, Z Yang - Journal of Scientific Computing, 2025 - Springer
This paper presents a reduced projection method for the solution of quasiperiodic
Schrödinger eigenvalue problems for photonic moiré lattices. Using the properties of the …

Controlling self-healing of optical field based on moiré dual-microlens arrays

D Li, W Wang, S Gao, Y Gao, Y Cai, Z Hao… - New Journal of …, 2023 - iopscience.iop.org
Optical self-healing is a repairing phenomenon of a beam in the propagation, as it is
perturbed by an opaque object. In this work, we demonstrate experimentally and …

Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential

M Edmonds, M Nitta - Physical Review A, 2020 - APS
We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional
ultracold bosons subject to a density-dependent gauge potential, realizing an effective …

Vector gap solitons of two-component Bose gas in twisted-bilayer optical lattice

P Tu, QQ Wang, JP Ma, KH Shao, X Zhao, BL Xi… - Chaos, Solitons & …, 2025 - Elsevier
Motivated by recent experimental realization of atomic Bose–Einstein condensate in twisted-
bilayer optical lattices, we consider the vector gap solitons and their stability in a two …