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Finite-energy properties of one-dimensional conductors

Eric Jeckelmann (Hannover University)

18.01.2013 at 10:15 

 Although the asymptotic low-energy behavior of one-dimensional conductors is well described by the Tomonaga-Luttinger-liquid (TLL) paradigm, the energy range of this theory and the high-energy behavior of 1D conductors are unknown a priori. To obtain some quantitative information one can study TLL features and deviations thereof in the finite-energy properties of gapless quantum lattice models with finite band widths. Recently, I have investigated several TLL predictions in Bethe-Ansatz solvable models using two numerical matrix-product-state methods, the dynamical density-matrix renormalization group for equilibrium spectral properties and the time-evolving block decimation for transport properties. In this talk I will present and discuss results for the pseudo-gap in the local density of states [1] and the renormalized steady-state transport [2] in the spinless fermion model as well as the so-called "Kondo effect" in the impurity spectral function of a Heisenberg spin chain with a magnetic impurity [3].


[1] E. Jeckelmann, J. Phys.: Condens. Matter 25, 014002 (2013). arXiv:1111.6545v2

[2] M. Einhellinger, A. Cojuhovschi and E. Jeckelmann, Phys. Rev. B 85, 235141 (2012). arXiv:1201.5323v2

[3] N. Laflorencie, E.S. Sorensen, and I. Affleck, J. Stat. Mech. P02007 (2008). arXiv:0711.4350

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