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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For 3D Dirac fermions at charge neutrality the diffusion constant is purely quantum geometric in origin because the band velocity contribution cancels exactly, unlike in 2D.
Establishes bound relations between electronic properties in magnetic crystals, including a new lower bound on susceptibility for Chern insulators and generalization of Chern bounds to three dimensions.
Collective fluctuations generate dynamical Berry curvature via non-commutative transverse quantum fluctuations and non-local-time interactions, distinguishable from bare band geometry in antisymmetric inelastic scattering channels.
In the α-T3 lattice with on-site asymmetry, mean-field theory shows a superconducting gap that grows as a power law with interaction strength at flat-band filling, while the geometric part of the superfluid weight grows linearly and is enhanced by tuning α.
Extending the wave-packet ansatz for Bloch electrons to include interband contributions and applying the time-dependent variational principle yields leading-order nonadiabatic corrections to the Lagrangian, including an energy-gap-renormalized quantum metric that recasts dynamics as geodesic motion.
Interfering two obliquely propagating surface acoustic waves forms a tunable acoustoelectric superlattice in 2D materials, enabling in-situ control of minibands, flat bands, and nontrivial valley Chern numbers in massive monolayer graphene.
Surface states in 3D class-CI topological lattice models are fragile to Anderson localization via trivializing proximity effect with weak disorder, while continuum Dirac models show disorder-induced healing of criticality.
Nonlinear thermal and thermoelectric responses are shown to encode quantum geometry and satisfy relations parallel to the Wiedemann-Franz and Mott laws in systems with broken symmetries.
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Geometric curvature driven by many-body collective fluctuations
Collective fluctuations generate dynamical Berry curvature via non-commutative transverse quantum fluctuations and non-local-time interactions, distinguishable from bare band geometry in antisymmetric inelastic scattering channels.