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DY: Fachverband Dynamik und Statistische Physik
DY 16: Nonequilibrium Quantum Systems 1 (joint session TT/DY)
DY 16.3: Talk
Tuesday, March 19, 2024, 10:00–10:15, H 3005
Charge density wave melting in higher dimensional Holstein models — •Eva Paprotzki1, Alexander Osterkorn2, Vibhu Mishra3, and Stefan Kehrein3 — 1I. Institut für Theoretische Physik, Universität Hamburg — 2Institut "Jožef Stefan", Ljubljana, Slovenien — 3Institut für Theoretische Physik, Georg-August-Universität Göttingen
We study the Holstein model after a quench from the insulating charge density wave (CDW) state. Employing a semiclassical treatment of the phonons ('Truncated Wigner Approximation'), we are able to track the CDW order parameter in two- and three-dimensional systems. The number of dynamical variables increases only quadratically with system size. We pose the question whether the order parameter dynamics in higher-dimensional lattices can be connected to the dynamics of the one-dimensional case via factorization. Next to an analytical estimation for the time scale of such a relation, we provide numerical evidence for the weak and strong coupling regime based on our semiclassical methods. An additional semiclassical description of the electrons ('fermionic Truncated Wigner Approximation') yields better agreement with exact reference data in one spatial dimension for the order parameter and, in particular, for the phonon number than the approach with purely phononic semiclassical dynamics.
Keywords: Holstein model; quench; dimensionality; semiclassical; Truncated Wigner