The interplay of electronic and structural degrees of freedom in solids is a topic of intense
research. More than 60 years ago, Lifshitz discussed a counterintuitive possibility: lattice …

The combination of interactions and static gauge fields plays a pivotal role in our
understanding of strongly correlated quantum matter. Cold atomic gases endowed with a …

We study spinless electrons in a single-channel quantum wire interacting through attractive
interaction, and the quantum Hall states that may be constructed by an array of such wires …

Topological insulators (TIs) are an exciting discovery because of their robustness against
disorder and interactions. Recently, second-order TIs have been attracting increasing …

We revisit the low-energy physics of one-dimensional spinless fermion liquids, showing that
with sufficiently strong interactions the conventional Luttinger liquid can give way to a strong …

We describe a novel topological superfluid state, which forms in a one-dimensional Fermi
gas with Rashba-like spin-orbit coupling, a Zeeman field, and intrinsic attractive interactions …

We study Majorana chain with the shortest possible interaction term and in the presence of
hopping alternation. When formulated in terms of spins the model corresponds to the …

We compute the phase diagram of a one-dimensional model of spinless fermions with pair
hopping and nearest-neighbor interaction, first introduced by Ruhman and Altman, using the …

We show that a simple one-dimensional model of spinless fermions with pair hopping
displays a phase in which a Luttinger liquid of paired fermions coexists with a Luttinger …

We investigate the properties of the Heisenberg S= 1 chain with bilinear and biquadratic
interactions in a magnetic field using the density-matrix renormalization-group, Bethe …