Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators

Abstract

As a generic model describing quasi-one-dimensional Mott and Peierls insulators, we investigate the Holstein-Hubbard model for half-filled bands using numerical techniques. Combining Lanczos diagonalization with Chebyshev moment expansion we calculate exactly the photoemission and inverse photoemission spectra and use these to establish the phase diagram of the model. While polaronic features emerge only at strong electron-phonon couplings, pronounced phonon signatures, such as multi-quanta band states, can be found in the Mott insulating regime as well. In order to corroborate the Mott to Peierls transition scenario, we determine the spin and charge excitation gaps by a finite-size scaling analysis based on density-matrix renormalization group calculations.

5 pages, 5 figures

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• Nature of the Peierls- to Mott-insulator transition in 1D
• Lattice dynamical effects on the Peierls transition in one-dimensional metals and spin chains
• Peierls-insulator Mott-insulator transition in 1D

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• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
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• Robust purely optical signatures of Floquet states in laser-dressed crystals