28 research outputs found
Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
The one-dimensional Holstein model and its generalizations have been studied
extensively to understand the effects of electron-phonon interaction. The
half-filled case is of particular interest, as it describes a transition from a
metallic phase with a spin gap due to attractive backscattering to a Peierls
insulator with charge-density-wave (CDW) order. Our quantum Monte Carlo results
support the existence of a metallic phase with dominant power-law charge
correlations, as described by the Luther-Emery fixed point. We demonstrate that
for Holstein and also for purely fermionic models the spin gap significantly
complicates finite-size numerical studies, and explains inconsistent previous
results for Luttinger parameters and phase boundaries. On the other hand, no
such complications arise in spinless models. The correct low-energy theory of
the spinful Holstein model is argued to be that of singlet bipolarons with a
repulsive, mutual interaction. This picture naturally explains the existence of
a metallic phase, but also implies that gapless Luttinger liquid theory is not
applicable.Comment: 17 pages, 18 figures, final versio
Hilfsmittel in der Rheumatologie
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