Quantum Geometry Phenomena in Condensed Matter Systems

arXiv:2508.00469 · cond-mat.str-el · Submitted 2025-08-01 · Read on arXiv

cond-mat.str-el

Submitted: 2025-08-01

Updated: 2025-08-01

Terminology

• Berry Curvature — 153× in this paper · explained in 3 episodes
• Berry curvature dipole — 28× in this paper · explained in 2 episodes
• Entanglement — 18× in this paper · explained in 3 episodes
• Degeneracy — 17× in this paper · explained in 3 episodes
• Fisher Information — 16× in this paper · explained in 3 episodes
• Quantum Anomalous Hall Effect — 14× in this paper
• Entanglement Entropy — 7× in this paper · explained in 2 episodes
• Chern Number — 6× in this paper · explained in 4 episodes
• Symmetry Breaking — 6× in this paper · explained in 3 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Phase Transitions — 4× in this paper · explained in 2 episodes
• Quantization — 4× in this paper · explained in 12 episodes
• Effective Hamiltonian — 3× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Anomalous Hall Effect (AHE) — 2× in this paper · explained in 1 episode
• Antiferromagnetism — 2× in this paper · explained in 1 episode
• DFT Calculations — 2× in this paper · explained in 2 episodes
• Department of Energy — 2× in this paper
• Floquet Engineering — 2× in this paper · explained in 3 episodes
• Gauge Dependence — 2× in this paper · explained in 2 episodes
• Hybrid System — 2× in this paper · explained in 2 episodes
• Quantum Geometric Tensor (QGT) — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adiabatic Evolution — 1× in this paper · explained in 2 episodes
• Aharonov-Bohm Effect — 1× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Altermagnetic Spin Splitting — 1× in this paper · explained in 1 episode
• Altermagnets — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Coherence Length — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Frustration — 1× in this paper · explained in 2 episodes
• Holonomy — 1× in this paper · explained in 2 episodes
• Hysteresis — 1× in this paper · explained in 3 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Nonreciprocity — 1× in this paper · explained in 2 episodes
• Quantum Capacitance — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Topological Order — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• The multi-state geometry of shift current and polarization
• Phonon thermal Hall as a lattice Aharonov-Bohm effect
• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity
• The Effect of the Non-Abelian Quantum Metric on Superfluidity
• Quantum Metric Nonlinear Spin-Orbit Torque Enhanced by Topological Bands
• Scaling analysis of quantum geometry in second-order nonlinear transport
• Mixed axial-gravitational anomaly from emergent curved spacetime in nonlinear charge transport
• Scaling Law for Time-Reversal-Odd Nonlinear Transport
• Revealing Quantum Geometry in Nonlinear Quantum Materials
• Quantum geometric bound for saturated ferromagnetism
• Quantum geometric ferromagnetism by singular saddle point
• Orbital magnetoelectric coupling of three dimensional Chern insulators
• Experimental measurement of the divergent quantum metric of an exceptional point
• Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals
• Supercell Wannier Functions and Emergent Kondo Lattices in Topological Bands
• Evidence of Momentum Space Condensation in Rhombohedral Hexalayer Graphene
• Quantum weight
• Fractional Quantum Hall Physics in Topological Flat Bands
• Witnessing Quantum Entanglement Using Resonant Inelastic X-ray Scattering
• Geometrical meaning of the Drude weight and its relationship to orbital magnetization

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