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One-dimensional Hubbard-Holstein model with finite range electron-phonon coupling | | F. Hébert
; Bo Xiao
; V.G. Rousseau
; R.T. Scalettar
; G.G. Batrouni
; | | Date: |
26 Nov 2018 | | Abstract: | The Hubbard-Holstein model describes fermions on a discrete lattice, with
on-site repulsion between fermions and a coupling to phonons that are localized
on sites. Generally, at half-filling, increasing the coupling $g$ to the
phonons drives the system towards a Peierls charge density wave state whereas
increasing the electron-electron interaction $U$ drives the fermions into a
Mott antiferromagnet. At low $g$ and $U$, or when doped, the system is
metallic. In one-dimension, using quantum Monte Carlo simulations, we study the
case where fermions have a long range coupling to phonons, with characteristic
range $xi$, interpolating between the Holstein and Fr"ohlich limits. Without
electron-electron interaction, the fermions adopt a Peierls state when the
coupling to the phonons is strong enough. This state is destabilized by a small
coupling range $xi$, and leads to a collapse of the fermions, and,
consequently, phase separation. Increasing interaction $U$ will drive any of
these three phases (metallic, Peierls, phase separation) into a Mott insulator
phase. The phase separation region is once again present in the $U
e 0$ case,
even for small values of the coupling range. | | Source: | arXiv, 1811.7811 | | Services: | Forum | Review | PDF | Favorites | |
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