Amplitude dynamics of charge density wave in LaTe${}_3$: theoretical description of pump-probe experiments

Abstract

We formulate a dynamical model to describe a photo-induced charge density wave (CDW) quench transition and apply it to recent multi-probe experiments on LaTe${}_3$ [A. Zong et al., Nat. Phys. 15, 27 (2019)]. Our approach relies on coupled time-dependent Ginzburg-Landau equations tracking two order parameters that represent the modulations of the electronic density and the ionic positions. We aim at describing the amplitude of the order parameters under the assumption that they are homogeneous in space. This description is supplemented by a three-temperature model, which treats separately the electronic temperature, temperature of the lattice phonons with stronger couplings to the electronic subsystem, and temperature of all other phonons. The broad scope of available data for LaTe${}_3$ and similar materials as well as the synergy between different time-resolved spectroscopies allow us to extract model parameters. The resulting calculations are in good agreement with ultra-fast electron diffraction experiments, reproducing qualitative and quantitative features of the CDW amplitude evolution during the initial few picoseconds after photoexcitation.

21 pages, 14 figures; this version is almost identical to the published version; comparing to the earlier arXiv submission, current version contains a new figure (Fig.10), and a broader discussion of theoretical results and approximations

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• Machine learning for phase ordering dynamics of charge density waves
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• Field theory for the dynamics of the open $O(N)$ model
• Combined investigation of collective amplitude and phase modes in a quasi-one-dimensional charge-density-wave system over a wide spectral range
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• Bidirectional ultrafast control of charge density waves via phase competition
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• Nonequilibrium dynamics of suppression, revival, and loss of charge order in a laser pumped electron-phonon system
• Fate of transient order parameter domain walls in ultrafast experiments
• Transient ordering in the Gross-Pitaevskii lattice subject to an energy quench within the disordered phase
• Toward nonthermal control of excited quantum materials: framework and investigations by ultrafast electron scattering and imaging
• Properties and challenges of hot-phonon physics in metals: MgB${}_2$ and other compounds
• Transient selection of competing order in frustrated spin Peierls systems after a quench
• Distinct amplitude mode dynamics upon resonant and off-resonant excitation across the charge density wave energy gap in LaTe3 investigated by time- and angle-resolved photoemission spectroscopy
• Comparative study of terbium tellurides Tb2Te5 and TbTe3