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Based on the framework of Kubo formulism, we develop the minimally entangledtypical thermal state algorithm to study the temperature and time dependence ofcurrent-current correlation function in one-dimensional spinless fermion model,taking into account both the electron-electron (e-e) intersite interaction andthe dynamic disorder induced by classical phonons. Without e-e interaction, thenumerical results, showing an exponential decay of the time dependentcorrelation, could be precisely compared with that from the analyticalderivation, namely, from the generalized Langevin equation. More importantly,when a strong enough e-e interaction is presence, we find a long-timecorrelation in the regime of small dynamic disorder, indicating the breakdownof thermal relaxation, which is a typical many-body effect. On the basis ofthis finding, we show that it might be applied to understand the metalliclikecharge transport and the abnormal improvement of the conductivity with respectto the redoping experiment in K$_3$C$_{60}$, an organic superconductingmaterial.

Thermalization Breakdown and Conductivity Improvement within the Interacting Dynamic Disorder Model