Correlated Mott insulators in a strong electric field: The effects of phonon renormalization
Abstract
We characterize the response of a Mott insulating system to a static electric field in terms of its conducting and spectral properties. Dissipation is included by a coupling to fermionic baths and to either optical or acoustic phonons. This paper extends and completes the analysis made in a previous work by the authors [Mazzocchi et al., Phys. Rev. B 106, 125123 (2022), 10.1103/PhysRevB.106.125123]. In the present work, phonons are included diagrammatically within the Migdal approximation by also including selfconsistency from the electronic feedback. The nonequilibrium steady state is addressed by means of the dynamical meanfield theory based on the nonequilibrium Green's function approach, while the socalled auxiliary master equation approach is employed as impurity solver. With optical phonons the selfconsistency suppresses the steadystate current for field strengths comparable to the band gap with respect to the nonselfconsistent case. This is due to the interaction of phonons with the hot electrons of the lattice which increases their temperature, thus providing a less effective relaxation channel for the currentinduced Joule heat. In addition, in the case of optical phonons, the results are essentially independent of the temperature of the fermionic baths, as the latter is sensibly smaller than their characteristic frequency. On the other hand, with acoustic phonons the steadystate current is slightly suppressed by the selfconsistent treatment only at field strengths close to half of the gap and especially at very small phonon frequency. Also, in this case, the results seem to slightly depend on the temperature of the fermionic baths.
 Publication:

Physical Review B
 Pub Date:
 April 2023
 DOI:
 10.1103/PhysRevB.107.155103
 arXiv:
 arXiv:2212.14352
 Bibcode:
 2023PhRvB.107o5103M
 Keywords:

 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 Data can be found at https://repository.tugraz.at/records/hgnz5x5816