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Real-Time Current of a Charge Carrier in a Strongly Correlated System Coupled to Phonons, Driven by a Uniform Electric Field

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Abstract

We perform a quantum time evolution of a single charge carrier doped into strongly correlated system and coupled to phonons, driven by a uniform electric field. We study a two-dimensional tJ-Holstein model and calculate the real-time current. At large values of electric field, the response of the system exhibits damped Bloch oscillations, and the values of the steady current decrease with increasing electric field. On the other hand, the maximal amplitude of the real-time current increase with increasing field. We discuss the appearance of the negative differential resistivity regime, observed recently in various nonequilibrium studies of interacting many-body systems.

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Acknowledgements

We acknowledge stimulating discussions with M. Mierzejewski and P. Prelovšek. This work has been supported by the Program P1-0044 of the Slovenian Research Agency (ARRS) and REIMEI project, JAEA, Japan.

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Correspondence to L. Vidmar.

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Vidmar, L., Bonča, J. Real-Time Current of a Charge Carrier in a Strongly Correlated System Coupled to Phonons, Driven by a Uniform Electric Field. J Supercond Nov Magn 25, 1255–1258 (2012). https://doi.org/10.1007/s10948-012-1576-3

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  • DOI: https://doi.org/10.1007/s10948-012-1576-3

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