Flat bands–single-particle energy bands–in tight-binding lattices, aka networks, have
attracted attention due to the presence of macroscopic degeneracies and their sensitivity to …

We study transport in an interacting tilted (Stark) chain. We show that the crossover between
diffusive and subdiffusive relaxation is governed by FL, where F is the strength of the field …

We investigate superconducting transport in the DC field induced Wannier-Stark flat bands
in the presence of interactions. Flat bands offer the possibility of unconventional high …

We consider tight-binding single-particle lattice Hamiltonians which are invariant under an
antiunitary antisymmetry: the anti-PT symmetry. The Hermitian Hamiltonians are defined on …

Quantum simulators of lattice gauge theories involve dynamics of typically short-ranged
interacting particles and dynamical fields. Elimination of the latter via Gauss law leads to …

Tight-binding single-particle models on simple Bravais lattices in space dimension d≥ 2,
when exposed to commensurate DC fields, result in the complete absence of transport due …

We investigate the origin of the ubiquitous existence of flat bands in the network
superstructures of atomic chains, where one-dimensional (1D) atomic chains array …

We consider tight-binding models on Bravais lattices with anisotropic onsite potentials that
vary along a given direction and are constant along the transverse one. Inspired by our …

We demonstrate the existence of an intermediate superexponential localization regime for
eigenstates of the Aubry-André chain. In this regime, the eigenstates localize similar to the …

Flat bands have proven to be ideal candidates for high temperature superconductivity. The
energy bands have zero dispersion and in the absence of interactions, the particles are …