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(a)-(b): Comparison of Langevin results with Monte Carlo. (a) The ferromagnetic feature Ss(0, 0) in the magnetic structure factor and (b) the Fourier transform of the density-density correlation Sn at q = (π, π). There is a very good agreement for the chosen Ds and D ph values. (c) The dependence of Ss(0, 0) on Ds for three values Ds = 0.025, 0.05, 0.1, and (d) of Sn(π, π) on D ph for three values D ph = 0.1t, 0.5t, 1.0t. In both cases, we see an insensitivity to dissipation rates.

(a)-(b): Comparison of Langevin results with Monte Carlo. (a) The ferromagnetic feature Ss(0, 0) in the magnetic structure factor and (b) the Fourier transform of the density-density correlation Sn at q = (π, π). There is a very good agreement for the chosen Ds and D ph values. (c) The dependence of Ss(0, 0) on Ds for three values Ds = 0.025, 0.05, 0.1, and (d) of Sn(π, π) on D ph for three values D ph = 0.1t, 0.5t, 1.0t. In both cases, we see an insensitivity to dissipation rates.

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We solve for the finite temperature collective mode dynamics in the Holstein-double exchange problem, using coupled Langevin equations for the phonon and spin variables. We present results in a strongly anharmonic regime, close to a polaronic instability. For our parameter choice the system transits from an `undistorted' ferromagnetic metal at low...

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