A central result in superconductivity is that flat bands, though dispersionless, can still host a
nonzero superfluid weight due to quantum geometry. We show that the derivation of the …

Over the past years, one witnesses a growing interest in flat band (FB) physics which has
become a playground for exotic phenomena. In this study, we address the FB …

By considering an on-site attraction between a spin-↑ and a spin-↓ fermion in a multiband
tight-binding lattice, here we study the two-body spectrum and derive an exact relation …

We investigate the impacts of the quantum geometry of Bloch states, specifically through the
band-resolved quantum-metric tensor, on Cooper pairing and flat-band superconductivity in …

Within ten years, flat band (FB) superconductivity has gained a huge interest for its
remarkable features and connection to quantum geometry. We investigate the …

Non-analytic Bloch eigenstates at isolated band degeneracy points exhibit singular behavior
in the quantum metric. Here, a description of superfluid weight for zero-energy flat bands in …

In this work, we investigate the bound states in a one-dimensional spin-1 flat band system
with a Coulomb-like potential of type III, which has a unique non-vanishing matrix element in …

In this work, we investigate the bound states in the continuum (BIC) of a one-dimensional
spin-1 flat band system. It is found that, when the potential is sufficiently strong, there exists …

In this work, we investigate the bound-state problem in a one-dimensional spin-1 Dirac
Hamiltonian with a flat band. It is found that the flat band has significant effects on the bound …

In our previous work, the concept of critical region in a generalized Aubry–André model
(Ganeshan–Pixley–Das Sarma's model) has been established. In this work, we find that the …