Dynamical properties of the Holstein chain from finite-temperature density matrix renormalization group method

ORAL

Abstract

We present density-matrix renormalization group results for spectral

functions and conductivities of the Holstein polaron and systems with

a finite electron density in a Holstein chain. Our numerical approach is

based on the selection of optimal phonons modes based on the importance

selection of single-site reduced density matrix eigenstates, called local basis

optimization. We combine this approach with purification to obtain

the low-temperature thermodynamics and extract polaron spectral

functions from real-time simulations [1]. In a next step, we optimize

the algorithm by using the time-dependent variational principle

and parallelization to compute the optical conductivity of the Holstein

polaron, the bipolaron, and for systems at a finite electron filling.

We discuss our results using the Born-Oppenheimer surface picture

for Holstein dimers [2].

*This research was supported by the Deutsche Forschungsgemeinschaft (DFG) via CRC 1073.JB acknowledges the support by the program P1-0044 of the Slovenian Research Agency, support from the Centre for Integrated Nanotechnologies,a U.S. Department of Energy, Office of Basic Energy Sciences user facility, and funding from the Stewart Blusson Quantum Matter Institute.

Publication: [1] D. Jansen, J. Bonca, F. Heidrich-Meisner, Phys. Rev. B 104, 195116 (2021)
[2] D. Jansen, J. Bonca, F. Heidrich-Meisner, Phys. Rev. B, in press, arXiv:2206.00985 (2022)

Presenters

  • Fabian Heidrich-Meisner

    • University of Goettingen

Authors

  • Fabian Heidrich-Meisner

    • University of Goettingen
  • Janez Bonca

    • Josef Stefan Institute Ljubljana
  • David Jansen

    • University of Goettingen