Dresden 2026 – scientific programme

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MA: Fachverband Magnetismus

MA 45: Magnetic Relaxation and Gilbert Damping

MA 45.6: Talk

Thursday, March 12, 2026, 10:45–11:00, POT/0351

Systematic Theory of Real-Time Atomistic Spin Dynamics — •Sarah Damerow and Michael Potthoff — I. Institute of Theoretical Physics, University of Hamburg

We present a systematic response-theoretical approach for deriving indirect interactions and novel couplings in the effective dynamics of classical spins coupled to generic lattice-fermion models. Via a systematic twofold expansion of the exact time evolution operator, namely in the coupling strength and in the retardation time, one identifies a rich variety of spin-, orbital-, and site-dependent contributions to the equations of motion. These include the familiar Ruderman–Kittel–Kasuya–Yosida and the Dzyaloshinskii–Moriya interactions. Additional anisotropic terms, different types of Gilbert damping and of geometrical spin torques, as well as various spin-inertia terms emerge. While the order of expansion suggests the order of magnitude of the effects, symmetry analysis allows for their classification. The practical feasibility of the approach is demonstrated with numerical results obtained for a Chern insulator.

Keywords: Gilbert damping; spin-inertia; Dzyaloshinskii-Moriya; Chern insulator; Berry curvature