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• W4297495215 abstract "A clear separation of the timescales governing the dynamics of ``slow'' and ``fast'' degrees of freedom often serves as a prerequisite for the emergence of an independent low-energy theory. Here, we consider (slow) classical spins exchange coupled to a tight-binding system of (fast) conduction electrons. The effective equations of motion are derived under the constraint that the quantum state of the electron system at any instant of time $t$ lies in the $n$-dimensional low-energy subspace for the corresponding spin configuration at $t$. The effective low-energy theory unfolds itself straightforwardly and takes the form of a non-Abelian gauge theory with the gauge freedom given by the arbitrariness of the basis spanning the instantaneous low-energy sector. The holonomic constraint generates a gauge-covariant spin-Berry curvature tensor in the equations of motion for the classical spins. In the non-Abelian theory for $n>1$, opposed to the $n=1$ adiabatic spin dynamics theory, the spin-Berry curvature is generically nonzero, even for time-reversal-symmetric systems. Its expectation value with the representation of the electron state is gauge invariant and gives rise to an additional geometrical spin torque. Aside from anomalous precession, the $nensuremath{ge}2$ theory also captures the spin nutational motion, which is usually considered as a retardation effect. This is demonstrated by proof-of-principle numerical calculations for a minimal model with a single classical spin. Already for $n=2$ and in parameter regimes where the $n=1$ adiabatic theory breaks down, we find good agreement with results obtained from the full (unconstrained) theory." @default.
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• W4297495215 date "2022-09-28" @default.
• W4297495215 modified "2023-10-14" @default.
• W4297495215 title "Emergent non-Abelian gauge theory in coupled spin-electron dynamics" @default.
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• W4297495215 doi "https://doi.org/10.1103/physrevb.106.094433" @default.
• W4297495215 hasPublicationYear "2022" @default.
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