Topological phases of matter have attracted much attention over the years. Motivated by
analogy with photonic lattices, here we examine the edge states of a one-dimensional trimer …

We study magnetic properties of the half-filled Hubbard model on the two-dimensional
hexagonal golden-mean tiling. We find that the vertex model of the tiling is bipartite, with a …

Quantum many-body edge and extended magnon excitations from the 1/3 plateau of the
anisotropic Heisenberg model on an open AB 2 chain in a magnetic field h are unveiled …

The density matrix renormalization group and quantum Monte Carlo methods are used to
describe coupled trimer chains in a magnetic field h. The Hamiltonian contains exchange …

We study spinless fermions in a flux threaded AB 2 chain taking into account nearest-
neighbor Coulomb interactions. The exact diagonalization of the spinless AB 2 chain is …

Exact construction of one electron eigenstates with flat, non-dispersive bands, and localized
over clusters of various sizes is reported for a class of quasi-one-dimensional looped …

The critical behaviour of anisotropic Heisenberg models with two kinds of
antiferromagnetically exchange-coupled centres are studied numerically by using finite-size …

We demonstrate, by explicit construction, that a single band tight binding Hamiltonian
defined on a class of deterministic fractals of the b= 3N Sierpinski type can give rise to an …

We address the competing superconducting and magnetic phases on the honeycomb
lattice, in a field-theoretic approach suitable to yield a low-energy perturbative theory for the …

Two neighboring π-conjugated organic-polymer ferromagnetic chains are described
individually by a Hamiltonian, which is the Su-Schrieffer-Heeger Hamiltonian added by the …