Absence of finite-temperature ballistic charge (and spin) transport in the 1D Hubbard model at half filling (and zero spin density)
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AbstractFinite-temperature T > 0 transport properties of integrable and nonintegrable one-dimensional (1D) many-particle quantum systems are rather different, showing ballistic and diffusive behavior, respectively. The repulsive 1D Hubbard model is a prominent example of an integrable correlated system. For electronic densities n not equal 1 (and spin densities m not equal 0) it is an ideal charge (and spin) conductor, with ballistic charge (and spin) transport for T >= 0. In spite of the fact that it is solvable by the Bethe ansatz, at n = 1 (and m = 0) its T > 0 charge (and spin) transport properties are an issue that remains poorly understood. Here we combine this solution with symmetry and the explicit calculation of current-operator matrix elements between energy eigenstates to show that for on-site repulsion U > 0 and at n = 1 the charge stiffness D-eta(T) vanishes for T > 0 in the thermodynamic limit. A similar behavior is found by such methods for the spin stiffness D-s(T) for U > 0 and T > 0, which vanishes at m = 0. This absence of finite temperature n = 1 ballistic charge transport and m = 0 ballistic spin transport are exact results that clarify long-standing open problems.
All Author(s) ListCarmelo JMP, Gu SJ, Sampaio MJ
Journal nameJournal of Physics A: Mathematical and Theoretical
Year2014
Month6
Day27
Volume Number47
Issue Number25
PublisherIOP Publishing: Hybrid Open Access
ISSN1751-8113
eISSN1751-8121
LanguagesEnglish-United Kingdom
Keywords1D Hubbard model; absence of ballistic transport; charge and spin stiffnesses; exotic charge and spin transport
Web of Science Subject CategoriesPhysics; Physics, Mathematical; Physics, Multidisciplinary

Last updated on 2020-07-08 at 01:17