Finite temperature dynamics of the Mott insulating Hubbard chain

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.

10 pages, 7 Figs

References in corpus (13)

• Real time evolution using the density matrix renormalization group
• Breakdown of Fermi liquid description for strongly interacting fermions
• Green's function for magnetically incoherent interacting electrons in one dimension
• Mott Transition in the Two-Dimensional Hubbard Model
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Exact solution of the infinite-U Hubbard problem and other models in one dimension
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Real-time dynamics in the one-dimensional Hubbard model
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• Spin-incoherent behavior in the ground state of strongly correlated systems
• Spectral function of the $U\to \infty$ one dimensional Hubbard model at finite temperature and the crossover to the spin incoherent regime
• Observation of spin-charge separation and boundary bound states via the local density of states

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