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arXiv · 1710.06452

Finite temperature dynamics of the Mott insulating Hubbard chain

Alberto Nocera·Fabian H. L. Essler·Adrian E. Feiguin
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Abstract

We study the dynamical response of the half-filled one-dimensional(1d) Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix renormalization group (tDMRG) computations we find that the single-particle spectral function undergoes a crossover to a spin-incoherent Luttinger liquid regime at temperatures $T \sim J=4t^2/U$ for sufficiently large $U > 4t$. At smaller values of $U$ and elevated temperatures the spectral function is found to exhibit two thermally broadened bands of excitations, reminiscent of what is found in the Hubbard-I approximation. The dynamical density-density response function is shown to exhibit a finite temperature resonance at low frequencies inside the Mott gap, with a physical origin similar to the Villain mode in gapped quantum spin chains. We complement our numerical computations by developing an analytic strong-coupling approach to the low-temperature dynamics in the spin-incoherent regime.

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Alberto Nocera, Fabian H. L. Essler, Adrian E. Feiguin. 2017-10-17. Finite temperature dynamics of the Mott insulating Hubbard chain. https://doi.org/10.1103/physrevb.97.045146

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