90 citations · 229 across the 8 of their papers we have counts for
3 papers · 1 filter
Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals
Johannes Mitscherling, Alexander Avdoshkin, Joel E. Moore
The importance of simple geometrical invariants, such as the Berry curvature and quantum metric, constructed from the Bloch states of a crystal has become well-established over fou…
The multi-state geometry of shift current and polarization
Alexander Avdoshkin, Johannes Mitscherling, Joel E. Moore
The quantum metric and Berry curvature capture essential properties of non-trivial Bloch states and underpin many fascinating phenomena. However, it becomes increasingly evident th…
A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
Elizabeth J. Dresselhaus, Alexander Avdoshkin, Zhetao Jia +3
Emerging experimental platforms use amorphousness, a constrained form of disorder, to tailor meta-material properties. We study localization under this type of disorder in a family…