Solid-state group seminars
8.11.2016 15h (cajna soba) Tilen Cadez (Beijging Computational
Research Center),
Dynamical correlation functions of the 1D Hubbard model
I will present the pseudofermion dynamical theory (PDT), which enables
the calculation of the thermodynamic behaviour of various dynamical
correlation functions for the 1D Hubbard model. First I will focus
on the one-electron spectral function, which has singular features on
certain lines in momentum-energy plane. In the vicinity of these lines
the spectral functions have a power law behaviour and the
corresponding exponents can be calculated for any finite Coulomb
repulsion, electron filling and spin density. Later I will apply a
modified version of PDT to the half-filled model and study the spin
dynamical structure factors. I will present the spectra of excitations
that contribute to longitudinal and transversal dynamical structure
factors. In proximity of the lower thresholds of the excitation
spectra, the spin dynamical structure factors exhibit a power law
behaviour. I will show the momentum, repulsive interaction and spin
density dependence of corresponding longitudinal and transversal
exponents. Presented spectral func- tion and spin dynamical structure
factor features can be measured using ARPES and inelastic neutron
scattering, respectively.
Full abstract (.pdf)
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