Time-Dependent Charge-Order and Spin-Order Recovery in Striped Systems

Abstract

Using time-dependent Ginzburg-Landau theory, we study the role of amplitude and phase fluctuations in the recovery of charge and spin stripe phases in response to a pump pulse that melts the orders. For parameters relevant to the case where charge order precedes spin order thermodynamically, amplitude recovery governs the initial time scales, while phase recovery controls behavior at longer times. In addition to these intrinsic effects, there is a longer spin re-orientation time scale related to the scattering geometry that dominates the recovery of the spin phase. Coupling between the charge and spin orders locks the amplitude and similarly the phase recovery, reducing the number of distinct time scales. Our results well reproduce the major experimental features of pump-probe x-ray diffraction measurements on the striped nickelate La${}_{1.75}$Sr${}_{0.25}$NiO${}_4$. They highlight the main idea of this work, which is the use of time-dependent Ginzburg-Landau theory to study systems with multiple coexisting order parameters.

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• Direct observation of dynamic charge stripes in La2-xSrxNiO4
• Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
• Pump induced motion of an interface between competing orders
• Charge and pairing dynamics in the attractive Hubbard model: mode coupling and the validity of linear-response theory
• Field theory for the dynamics of the open $O(N)$ model
• Transient selection of competing order in frustrated spin Peierls systems after a quench