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.
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Persistent spin textures isolate spin-rotation quantum geometry in nonlinear magnetotransport, yielding direction-independent responses as a distinctive signature even with symmetry-breaking terms.
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.
A two-level emitter coupled to a chiral flat band in a photonic lattice shows Rabi oscillations with a lifted mode whose effective coupling strength and mode volume remain protected against weak hopping disorder.
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Resonant cavity-QED with chiral flat bands
A two-level emitter coupled to a chiral flat band in a photonic lattice shows Rabi oscillations with a lifted mode whose effective coupling strength and mode volume remain protected against weak hopping disorder.