Measurement of the quantum geometric tensor and of the anomalous Hall drift

• Published in: Nature (London) Vol. 578; no. 7795; pp. 381 - 385
• Main Authors: Gianfrate, A., Bleu, O., Dominici, L., Ardizzone, V., De Giorgi, M., Ballarini, D., Lerario, G., West, K. W., Pfeiffer, L. N., Solnyshkov, D. D., Sanvitto, D., Malpuech, G.
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 20.02.2020; Nature Publishing Group
• Subjects: 639/624; 639/766; 639/766/119/2792; Adiabatic; Analysis; Chirality; Condensed Matter; Cones; Coupled modes; Drift; Eigenvectors; Electromagnetism; Energy; Energy bands; Excitons; Geometry; Hamiltonian functions; Humanities and Social Sciences; Hypothetical particles; Magnetic fields; Measurement; Mesoscopic Systems and Quantum Hall Effect; multidisciplinary; Particle theory; Phase transitions; Photoluminescence; Photonics; Photons; Physics; Polaritons; Quantum theory; Science; Science (multidisciplinary); Superfluidity; Symmetry; Tensors; Tensors (Mathematics); Topology; Italy

Topological physics relies on the structure of the eigenstates of the Hamiltonians. The geometry of the eigenstates is encoded in the quantum geometric tensor 1 —comprising the Berry curvature 2 (crucial for topological matter) 3 and the quantum metric 4 , which defines the distance between the eige...