Fig. 2: Time evolution of conventional ZS and mirage modes.
From: Hidden and mirage collective modes in two dimensional Fermi liquids
The figure depicts the time evolution of \({\chi }_{1}^{{\rm{c}}({\rm{s}})}({t}^{* })\) for a conventional ZS mode at \({F}_{1}^{{\rm{c}}({\rm{s}})}=0.2\) (orange) and a mirage mode at \({F}_{1}^{{\rm{c}}({\rm{s}})}=8.0\) (green). The modes correspond to the orange and green circles in Fig. 1b. The conventional mode displays an underdamped behavior with decay constant γzs < γ and oscillation period T* = 2π/szs < 2π at all times. The mirage mode decays with γzs > γ and crosses over to oscillations with period T* = 2π at a crossover time \({t}_{{\rm{cross}}}\approx {({\gamma }_{{\rm{zs}}}-\gamma )}^{-1}\). Inset: a zoomed-in view showing the crossover at t* ~ tcross. \({\chi }_{1}^{{\rm{c}}({\rm{s}})}({t}^{* })\) is multiplied by \({{\rm{e}}}^{\gamma {t}^{* }}\) to enhance visibility. The solid line is added to the data points for clarity. The disorder strength is γ = 0.2.
