Certain lattice wave systems in translationally invariant settings have one or more spectral
bands that are strictly flat or independent of momentum in the tight binding approximation …

When a neutral atom moves in a properly designed laser field, its center-of-mass motion
may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a …

We realize a two-dimensional kagome lattice for ultracold atoms by overlaying two
commensurate triangular optical lattices generated by light at the wavelengths of 532 and …

We derive effective Hamiltonians for lattice bosons with strong geometrical frustration of the
kinetic energy by projecting the interactions on the flat lowest Bloch band. Specifically, we …

On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

Optical lattices have developed into a widely used and highly recognized tool to study many-
body quantum physics with special relevance for solid state type systems. One of the most …

We study the non-trivial phase of the two-dimensional breathing kagome lattice, displaying
both edge and corner modes. The corner localized modes of a two-dimensional flake were …

We study atoms trapped with a harmonic confinement in an optical lattice characterized by a
flat band and Dirac cones. We show that such an optical lattice can be constructed which …

Quantum anomalous Hall effect (QAHE) and quantum spin Hall effect (QSHE) are two
interesting physical manifestations of 2D materials that have an intrinsic nontrivial band …

We study a tight-binding model on the two-dimensional ruby lattice. This lattice supports
several types of first-and second-neighbor spin-dependent hopping parameters in an s …