Geometrical phases, such as the Berry phase, have proven to be powerful concepts understand numerous physical phenomena, from precession of Foucault pendulum quantum Hall effect and existence topological insulators. The phase is generated by a quantity named curvature, which describes local geometry wave polarization relations known appear in equations motion multi-component packets. Such geome...

We present a derivation of the full formula to calculate Berry curvature on non-orthogonal numerical atomic orbital (NAO) bases. Because usually, number NAOs is larger than that Wannier bases, we use contraction method reduce basis sizes, which can greatly improve calculation efficiency without significantly reducing accuracy. benchmark by calculating ferroelectric BaTiO3and bcc Fe, as well ano...

Under the Born-Oppenheimer approximation, electronic ground state evolves adiabatically and can accumulate geometrical phases characterized by molecular Berry curvature. In this work, we study effect of curvature on lattice dynamics in a system with broken time-reversal symmetry. The is formulated based single-particle Bloch states. It manifests as nonlocal effective magnetic field equations mo...

Intense coherent laser radiation red-detuned from absorption edge can reactively activate sizable Hall-type charge and spin transport in n-doped paramagnetic semiconductors as a consequence of k-space Berry curvature transferred from the valence band to the photon-dressed conduction band. In the presence of disorder, the optically induced Hall conductance can change sign with laser intensity.

Recently, a type of Hall effect due to an unusual layer-locked Berry curvature called the layer (LHE) has been reported in even-layered two-dimensional antiferromagnetic (AFM) MnBi2Te4 [A. Gao et.al, Nature 595, 521 (2021)]. In this work, we report that quantization LHE, which call quantum anomalous (QALHE), can be realized MnBi2Te4. The QALHE originates from kicking Berry-curvature monopole ou...