Thermalization rates in the one dimensional Hubbard model with next-to-nearest neighbor hopping
arXiv:1607.07115 · doi:10.1103/PhysRevB.95.104304
Abstract
We consider a fermionic Hubbard chain with an additional next-to-nearest neighbor hopping term. We study the thermalization rates of the quasi-momentum distribution function within a quantum Boltzmann equation approach. We find that the thermalization rates are proportional to the square of the next-to-nearest neighbor hopping: Even weak next-to-nearest neighbor hopping in addition to nearest neighbor hopping leads to thermalization in a two-particle scattering quantum Boltzmann equation in one dimension. We also investigate the temperature dependence of the thermalization rates, which away from half filling become exponentially small for small temperature of the final thermalized distribution.
arXiv commentModified last sentence in abstract, corrected the German umlaut ä in citation [1], y-axis label in figure 7 now with correct prefactor, y-axis label in figure 8 rewritten to match with the others
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