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- W2088860135 abstract "The renormalization group technique is applied to one-dimensional electron-phonon Hubbard models at half filling and zero temperature. For the Holstein-Hubbard model, the results of one-loop calculations are congruent with the phase diagram obtained by quantum Monte Carlo simulations in the $(U,{g}_{mathrm{ph}})$ plane for the phonon-mediated interaction ${g}_{mathrm{ph}}$ and the Coulomb interaction $U$. The incursion of an intermediate phase between a fully gapped charge-density-wave state and a Mott antiferromagnet is supported along with the growth of its size with the molecular phonon frequency ${ensuremath{omega}}_{0}$. We find additional phases enfolding the base boundary of the intermediate phase. A Luttinger liquid line is found below some critical ${U}^{*}ensuremath{approx}{g}_{mathrm{ph}}^{*}$, followed at larger $Uensuremath{sim}{g}_{mathrm{ph}}$ by a narrow region of bond-order-wave ordering which is either charge or spin gapped depending on $U$. For the Peierls-Hubbard model, the region of the $(U,{g}_{mathrm{ph}})$ plane with a fully gapped Peierls-bond-order-wave state shows a growing domination over the Mott gapped antiferromagnet as the Debye frequency ${ensuremath{omega}}_{D}$ decreases. A power-law dependence ${g}_{mathrm{ph}}ensuremath{sim}{U}^{2ensuremath{eta}}$ is found to map out the boundary between the two phases, whose exponent is in good agreement with the existing quantum Monte Carlo simulations performed when a finite nearest-neighbor repulsion term $V$ is added to the Hubbard interaction." @default.
- W2088860135 created "2016-06-24" @default.
- W2088860135 creator A5034731652 @default.
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- W2088860135 date "2015-02-19" @default.
- W2088860135 modified "2023-10-17" @default.
- W2088860135 title "Nature of ground states in one-dimensional electron-phonon Hubbard models at half filling" @default.
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- W2088860135 doi "https://doi.org/10.1103/physrevb.91.085114" @default.
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