Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Quantum-Critical Phenomena (joint session TT/DY)
DY 3.5: Vortrag
Montag, 9. März 2026, 10:30–10:45, HSZ/0101
Kibble-Zurek Dynamics in the Anisotropic Ising Model of the Si(001) Surface — •Gernot Schaller1, Friedemann Queisser1, Parya Katoorani1, Christian Brand2, Christian Kohlfürst1, Mark Freeman3, Alfred Hucht2, Peter Kratzer2, Björn Sothmann2, Michael Horn-von Hoegen2, and Ralf Schützhold1,4 — 1Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany — 2Fakultät für Physik, Universität Duisburg-Essen and CENIDE, Lotharstraße 1, 47057 Duisburg, Germany — 3Department of Physics, University of Alberta, 4-181 Centennial Center for Interdisciplinary Science Edmonton, Alberta T6G 2E1, Canada — 4Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
As a simplified description of the nonequilibrium dynamics of buckled dimers on the Si(001) surface, we consider the anisotropic two-dimensional (2D) Ising model [1,2] and study the freezing of spatial correlations during a cooling quench across the critical point. Depending on the cooling rate, we observe a crossover from one-dimensional (1D) to 2D behavior [3]. For rapid cooling, we find effectively 1D behavior in the strongly coupled direction, for which we provide an exact analytic solution of the nonequilibrium dynamics. For slower cooling rates, we start to see 2D behavior where our numerical simulations show an approach to the usual Kibble-Zurek scaling in 2D.
[1] C. Brandt et al., Phys. Rev. Lett. 130, 126203 (2023).
[2] C. Brandt et al., Phys. Rev. B 109, 134104 (2024).
[3] G. Schaller et al., Phys. Rev. Lett. 134, 246202 (2025).
Keywords: Kibble-Zurek mechanism; anisotropic Ising model; silicon surface; phase transition; cooling quench