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(a) Spectra of the Ising problem compared to the actual power spectra (b) of the full problem at (π, π). A visual similarity is apparent close to Tc, where other details are irrelevant. Frequencies are scaled with respect to J in the former and t in the latter case. Temperatures are featured in units of Tc for the respective problems.

(a) Spectra of the Ising problem compared to the actual power spectra (b) of the full problem at (π, π). A visual similarity is apparent close to Tc, where other details are irrelevant. Frequencies are scaled with respect to J in the former and t in the latter case. Temperatures are featured in units of Tc for the respective problems.

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We use a Langevin approach to treat the finite temperature dynamics of displacement variables in the half-filled spinless Holstein model. Working in the adiabatic regime we exploit the smallness of the adiabatic parameter to simplify the memory effects and estimate displacement costs from an "instantaneous" electronic Hamiltonian. We use a phenomen...

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Preprint
We use a Langevin approach to treat the finite temperature dynamics of displacement variables in the half-filled spinless Holstein model. Working in the adiabatic regime we exploit the smallness of the adiabatic parameter to simplify the memory effects and estimate displacement costs from an "instantaneous" electronic Hamiltonian. We use a phenomen...