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TT: Fachverband Tiefe Temperaturen
TT 15: Dual-Method Approaches to Quantum Many-Body Systems I
TT 15.9: Talk
Monday, March 12, 2018, 17:15–17:30, H 0104
Logarithmic corrections to the dynamical correlation functions of one-dimensional fermion systems with impurities — •Polina Matveeva1, Dominik Straßel1,2, Sebastian Eggert1, and Imke Schneider1 — 1Department of Physics and Research Center OPTIMAS, University of Kaiserslautern — 2Competence Center for High Performance Computing, Fraunhofer ITWM, 67663 Kaiserslautern, Germany
Dynamical correlation functions are central objects in neutron scattering and photoemission spectroscopy experiments. They provide us with important information about the interactions and the spectrum of elementary excitations in strongly correlated systems. In one-dimensional gapless systems the correlation functions decay like power laws, with multiplicative logarithmic corrections from marginal operators. We study this corrections for general one-dimensional electron systems and the Heisenberg spin chain in the presence of impurities using bosonization. We obtain different multiplicative logarithmic corrections for the correlation functions in the boundary and bulk limits. Our results are supplemented by numerical Quantum Monte Carlo data. Finally, we discuss implications on the local density of states in the 1D-Hubbard model where previous numerical results revealed unexpectedly strong finite size corrections due to the marginal operator in the spin channel.