90 citations · 229 across the 8 of their papers we have counts for
8 papers
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…
Universality of critical dynamics with finite entanglement
Nicholas E. Sherman, Alexander Avdoshkin, Joel E. Moore
When a system is swept through a quantum critical point, the quantum Kibble-Zurek mechanism makes universal predictions for quantities such as the number and energy of excitations…
Disordered topological graphs enhancing nonlinear phenomena
Zhetao Jia, Matteo Seclì, Alexander Avdoshkin +4
Complex networks play a fundamental role in understanding phenomena from the collective behavior of spins, neural networks, and power grids to the spread of diseases. Topological p…
Direct Geometric Probe of Singularities in Band Structure
Charles D. Brown, Shao-Wen Chang, Malte N. Schwarz +5
The band structure of a crystal may have points where two or more bands are degenerate in energy and where the geometry of the Bloch state manifold is singular, with consequences f…
Intrinsic anomalous Hall conductivity in a nonuniform electric field
Vladyslav Kozii, Alexander Avdoshkin, Shudan Zhong +1
We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric…
Interactions remove the quantization of the chiral photocurrent at Weyl points
Alexander Avdoshkin, Vladyslav Kozii, Joel E. Moore
The chiral photocurrent or circular photogalvanic effect (CPGE) is a photocurrent that depends on the sense of circular polarization. In a disorder-free, noninteracting chiral Weyl…