Dresden 2026 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 46: Spin Transport and Orbitronics, Spin-Hall Effects I (joint session MA/TT)

TT 46.7: Vortrag

Mittwoch, 11. März 2026, 11:30–11:45, POT/0112

Quantum geometry for orbital magnetization and spintronics from parallel transport of Bloch states — •Johannes Mitscherling, Jan Priessnitz, and Libor Šmejkal — Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany

Quantum geometry emerges as a unifying, quantitative guiding principle for the linear and nonlinear response functions of quantum matter. Going beyond current-current responses [1,2], we identify the generator of parallel transport of Bloch states, given by the commutator of the band projector and its momentum derivative, as a further essential building block of quantum geometry [3]. I will show that orbital magnetism arises from the non-commutativity of adiabatic transport in orthogonal directions. We will see that the spin Berry curvature and the spin quantum metric, which control the linear spin conductivity, are not fundamentally geometric but yield three geometric contributions of distinct physical origin. Our theory enables efficient numerical and analytical evaluations for general Bloch Hamiltonians with an arbitrary number of potentially degenerate bands. I will exemplify the results in application to altermagnets [4] and p-wave magnets [5].

[1] Avdoshkin*, Mitscherling*, and Moore, PRL 135, 066901 (2025). [2] Mitscherling*, Avdoshkin*, and Moore, PRB 112, 085104 (2025). [3] Mitscherling and Šmejkal, to be submitted. [4] Šmejkal, Sinova, and T. Jungwirth, PRX 12, 031042 (2022). [5] Birk Hellenes, Jungwirth, Jaeschke-Ubiergo, Chakraborty, Sinova, and Šmejkal, arXiv:2309.01607v3.

Keywords: Quantum Geometry; Orbital Magnetization; Spin Conductivity; Altermagnets; Non-collinear Magnets