I review my recent progress and develop a geometrical approach in the quantum with light
as a guide, from the vector potential in classical physics, revealing that topological …

The Kane-Mele model is known to show a quantized spin Hall conductivity at zero
temperature. Including Hubbard interactions at each site leads to a quantum phase …

To describe a spin-1 2 particle on the Bloch sphere with a radial magnetic field and
topological states of matter from the reciprocal space, we introduce C square (C 2) as a local …

Graphene is a two-dimensional Dirac semimetal showing interesting properties as a result of
its dispersion relation with both quasiparticles and quasiholes or matter and antimatter. We …

We have recently identified a protected topological semimetal in graphene which presents a
zeroenergy edge mode robust to disorder and interactions. Here, we address the …

We study the Hubbard model with time-reversal-invariant flux and spin-orbit coupling and
position-dependent onsite energies on the kagome lattice, using numerical and analytical …

Here, we reveal our recent progress on a geometrical approach of quantum physics and
topological crystals linking with Dirac magnetic monopoles and gauge fields through …

We propose adiabatic pumping of orbital magnetization driven by coherent spin precession,
facilitating the rectification of this precession. The orbital magnetization originates from the …

We study the flat-band ferromagnetic phase of a spinfull and time-reversal symmetric
Haldane-Hubbard model on a honeycomb lattice within a bosonization formalism for flat …

We introduce a quantum spin Hall semimetal or Fermi liquid characterized with a Z2
topological invariant, measurable through circularly polarized light. We propose its …