Weakly inhomogeneous electric fields add a distinct quantum-metric contribution to Bloch oscillations, yielding oscillatory transport with an intrinsic part and a scattering-time-dependent part that can saturate at high fields.
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Photons possess a quantum metric in momentum space that induces a nonlinear Hall effect for light in inhomogeneous media and nonlinear corrections to gravitational lensing from the interplay of position and momentum space geometry.
A translationally equivariant and higher-order finite-difference method for Wannier interpolation yields more accurate Wannier centers, position matrices, electric polarization, orbital magnetization, and spin Hall conductivity.
citing papers explorer
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Quantum-metric Bloch oscillations in weakly inhomogeneous electric fields
Weakly inhomogeneous electric fields add a distinct quantum-metric contribution to Bloch oscillations, yielding oscillatory transport with an intrinsic part and a scattering-time-dependent part that can saturate at high fields.
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Quantum Metric and Nonlinear Hall Effect of Photons
Photons possess a quantum metric in momentum space that induces a nonlinear Hall effect for light in inhomogeneous media and nonlinear corrections to gravitational lensing from the interplay of position and momentum space geometry.
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Accurate calculation of Wannier centers, position matrix, and composite operators using translationally equivariant and higher-order finite differences
A translationally equivariant and higher-order finite-difference method for Wannier interpolation yields more accurate Wannier centers, position matrices, electric polarization, orbital magnetization, and spin Hall conductivity.