Functional renormalization group analysis of the one-dimensional half-filled Holstein-Hubbard model
ORAL
Abstract
The one-dimensional half-filled Holstein-Hubbard model (HHM) is studied by the newly developed electron-phonon coupled functional renormalization group (ep-FRG) [1]. The ep-FRG enables us to study the electron-phonon coupled system in an unbiased manner by taking account of the scatterings at different energy scales and momenta systematically. Previous studies of the half-filled HHM showed that there is a direct transition between the charge-gapped spin-density wave (SDW) phase and the spin-charge-gapped charge-density wave (CDW) phase. Recently, it has been proposed that there is an intermediate spin-gapped metallic phase with dominant superconducting (SC) pairing correlation between SDW phase and CDW phase [2]. Our ep-FRG results show that the dominant correlation in this intermediate phase is not SC pairing. \vskip 0.3cm \noindent [1] S.-W. Tsai, A. H. Castro Neto, R. Shankar, and D. K. Campbell, Phys. Rev. B 72, 054531 (2005). \vskip 0.1cm \noindent [2] R. T. Clay and R. P. Hardikar, Phys. Rev. Lett. 95, 096401 (2005).
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