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Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models | | Manuel Weber
; Fakher F. Assaad
; Martin Hohenadler
; | | Date: |
20 Apr 2015 | | Abstract: | We study one-dimensional Su-Schrieffer-Heeger (SSH) models with quantum
phonons using a continuous-time quantum Monte Carlo method. Within statistical
errors, identical results are obtained for the original SSH model and a model
with a coupling to an optical bond phonon mode. Based on this agreement, we
study the Peierls metal-insulator transition of the spinless SSH model, which
can be related to the Kosterlitz-Thouless transition of a spinless Luttinger
liquid. In the Peierls phase, the spectral functions reveal the single-particle
and charge gap, and a central peak related to long-range order. In the spinful
case, for which the ground state is dimerized for any nonzero coupling, we
reveal a symmetry-related degeneracy of spin and charge excitations, and the
expected spin and charge gaps as well as a central peak. Electron-electron
interaction together with lattice fluctuations gives rise to a Mott insulating
phase, with critical spin and bond correlations. With increasing
electron-phonon coupling, the system undergoes a Peierls transition at which
spin excitations become gapped. | | Source: | arXiv, 1504.5207 | | Services: | Forum | Review | PDF | Favorites | |
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