Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 41: Topological Semimetals
TT 41.3: Talk
Wednesday, March 11, 2026, 10:00–10:15, HSZ/0103
Quantum Geometric Origin of Intrinsic Nonlinear Hall effects — •Yannis Urich1,2, Johannes Mitscherling3, Laura Classen1,2, and Andreas Schnyder1 — 1Max Planck Institute for Solid State Research, D-70569 Stuttgart, Germany — 2School of Natural Sciences, Technische Universität München, D-85748 Garching, Germany — 3Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into quantum geometric contributions using a fully quantum-mechanical projector formalism. Expanding the nonlinear conductivity in powers of the quasiparticle lifetime τ, we recover the established Berry curvature dipole at order τ and clarify discrepancies in prior work concerning the (interband) quantum metric dipole (also called Berry curvature polarizability) at order τ0. Our method further reveals an additional order-τ0 term, determined by the intraband quantum metric dipole (intraQMD), which originates from virtual interband transitions captured only within the fully quantum-mechanical treatment. The intraQMD is generically nonzero in systems with broken time-reversal symmetry and can be identified independently by symmetry. We highlight candidate materials expected to exhibit a large intrinsic NLHE, including the topological antiferromagnet Yb3Pt4. Finally, we discuss the extension of this framework to higher-order nonlinear responses, which requires a structured understanding of higher-order quantum geometry beyond Berry curvature and quantum metric.
Keywords: Quantum Geometry; Nonlinear Hall Effect; Band Topology; Quantum Metric; Higher-order Geometric Invariants