We develop a first-principles quantum scheme to calculate the phonon magnetic moment in
solids. As a showcase example, we apply our method to study gated bilayer graphene, a …

We study the bulk and boundary properties of fragile topological insulators (TIs) protected by
inversion symmetry, mostly focusing on the class A of the Altland-Zirnbauer classification …

The traditional theory of magnetic moments for chiral phonons is based on the picture of the
circular motion of the Born effective charge, typically yielding a small fractional value of the …

A semiclassical theory for the orbital magnetization due to adiabatic evolutions of Bloch
electronic states is proposed. It renders a unified theory for the periodic-evolution pumped …

In this paper, we derive symmetry indicator formulas for the filling anomaly on two-
dimensional (2D) C 4 symmetric square lattices with and without time reversal, inversion …

Electric multipole moments are the most fundamental properties of insulating materials.
However, the general formulation of bulk multipoles has been a long-standing problem. The …

A formula for the corner charge in terms of the bulk quadrupole moment is derived for two-
dimensional periodic systems. This is an analog of the formula for the surface charge density …

Under the Born-Oppenheimer approximation, the electronic ground state evolves
adiabatically and can accumulate geometrical phases characterized by the molecular Berry …

We study the generalization of the three-dimensional two-band Hopf insulator to the case of
many bands, where all the bands are separated from each other by band gaps. The …

In systems with time-reversal symmetry, the orbital magnetization is zero in equilibrium.
Recently, it has been proposed that the orbital magnetization can be induced by an electric …