We study a bipartite Kronig-Penney model with negative Dirac-delta potentials that may be used, amongst other models, to interpret plasmon propagation in nanoparticle arrays. Such system can mapped into Su-Schrieffer-Heeger-like however, general, the overlap between 'atomic' wavefunctions of neighbouring sites is not negligible. In such case, edge states finite system, which retain their topolo...

In this first of three articles on the optical absorption of electrons in half-filled Peierls-distorted chains we present analytical results for non-interacting tightbinding electrons. We carefully derive explicit expressions for the current operator, the dipole transition matrix elements, and the optical absorption for electrons with a cosine dispersion relation of band width W and dimerizatio...

Using tight-binding models and first-principles calculations, we demonstrate the possibility to achieve a quantum anomalous Hall (QAH) phase on a two-dimensional square lattice, which can be realized in monolayers of double perovskites. We show that effective intersite spin-orbit coupling between eg orbitals can be induced perturbatively, giving rise to a QAH state. Moreover, the effective spin...

We consider the real-time evolution of Hubbard model in limit infinite coupling. In this Hamiltonian system is mapped into a number-conserving quadratic form spinless fermions, i.e. tight binding model. The relevant local observables, however, do not transform well under mapping and take very complicated expressions terms fermions. Here we show that for two classes interesting observables quenc...