Designing Berry curvature dipoles and the quantum nonlinear Hall effect at oxide interfaces

Kavli Affiliate: Gary A. Steele

| First 5 Authors: Edouard Lesne, Yildiz G. Saǧlam, Raffaele Battilomo, Thierry C. van Thiel, Ulderico Filippozzi

| Summary:

Quantum materials can display physical phenomena rooted in the geometric
properties of their electronic wavefunctions, and governed by an emergent
magnetic field known as Berry curvature. In materials with acentric crystalline
structures that do not exhibit long-range magnetic order, the appearance of a
Berry curvature is often linked to electronic band structures resembling the
dispersion relation of relativistic particles. However, this characteristic is
also a major roadblock, as it prevents the manifestation of quantum geometric
effects and correlation-induced many-body quantum phases in the same material.
Here, we overcome this limitation by designing very large dipoles of Berry
curvature in a correlated two-dimensional electron system. We unveil a rich
interplay between quantum confinement, spin-orbit coupling and crystal fields
in (111)-oriented oxide heterostructures, bringing forth the appearance of
Berry curvature concentrations that we directly probe through an unconventional
Hall effect arising from an external in-plane magnetic field. We then report
the appearance of a quantum nonlinear Hall effect under time-reversal symmetric
conditions that provides a direct probe of the Berry curvature dipole. The
quadratic current-voltage characteristic of the nonlinear Hall effect paves the
way to rectifiers and terahertz detectors by oxide interface design.

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