Berry-Landau Fermi-liquid theory: transport in presence of quantum geometry

arXiv:2609.26632 · cond-mat.str-el · Submitted 2026-09-22 · Read on arXiv

cond-mat.str-el

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Berry Curvature — 7× in this paper · explained in 3 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Momentum transfer — 2× in this paper · explained in 2 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Altermagnets — 1× in this paper · explained in 1 episode
• Anomalous Hall Effect (AHE) — 1× in this paper · explained in 1 episode
• Antiferromagnetism — 1× in this paper · explained in 1 episode
• Berry curvature dipole — 1× in this paper · explained in 2 episodes
• Chern Number — 1× in this paper · explained in 4 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Sources

• The Insulating State of Matter: A Geometrical Theory
• Polarization and localization in insulators: generating function approach
• Bound on resistivity in flat-band materials due to the quantum metric
• Riemannian geometry of resonant optical responses
• Essay: Where Can Quantum Geometry Lead Us?
• Superconductivity, charge density wave, and supersolidity in flat bands with tunable quantum metric
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• CsV$_3$Sb$_5$: a $\mathbb{Z}_2$ topological kagome metal with a superconducting ground state
• Massive Dirac fermions in a ferromagnetic kagome metal
• Quantum Geometry in Quantum Materials
• Measurements of the quantum geometric tensor in solids
• Chiral Kinetic Theory
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Berry Fermi Liquid Theory
• Effective field theory of Berry Fermi liquid from the coadjoint orbit method
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Berry phase effect in anomalous thermoelectric transport
• Orbital magnetization in periodic insulators
• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Gauge fields in graphene

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