Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models

摘要: We study one-dimensional Su-Schrieffer-Heeger (SSH) models with quantum phonons using a continuous-time Monte Carlo method. Within statistical errors, we obtain identical results for the SSH model acoustic phonons, and related coupling to an optical bond phonon mode. Based on this agreement, first Peierls metal-insulator transition of spinless model, relate it Kosterlitz-Thouless Luttinger liquid. In phase, spectral functions reveal single-particle charge gap, central peak long-range order. For spinful which has dimerized ground state any nonzero coupling, symmetry-related degeneracy spin excitations, expected gaps as well peak. Finally, SSH-$UV$ electron-phonon electron-electron interaction. observe Mott phase critical correlations at weak gapped excitations strong coupling. our findings extended Hubbard discuss physical origin agreement between phonons.