A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance

• URL: http://arxiv.org/abs/2207.05780v2
• Date: Mon, 30 Jan 2023 07:53:24 GMT
• Title: A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance
• Authors: Mauro Cirio, Neill Lambert, Pengfei Liang, Po-Chen Kuo, Yueh-Nan Chen, Paul Menczel, Ken Funo, Franco Nori
• Abstract summary: We develop a discrete fermion approach for modelling the strong interaction of an arbitrary system interacting with continuum electronic reservoirs. For a non-interacting single-resonant level, we benchmark our approach against an analytical solution and an exact hierachical-equations-of-motion approach.
• Score: 0.39089069256361736
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a discrete fermion approach for modelling the strong interaction of an arbitrary system interacting with continuum electronic reservoirs. The approach is based on a pseudo-fermion decomposition of the continuum bath correlation functions, and is only limited by the accuracy of this decomposition. We show that to obtain this decomposition one can allow for imaginary pseudo-fermion parameters, and strong damping in individual pseudo-fermions, without introducing unwanted approximations. For a non-interacting single-resonant level, we benchmark our approach against an analytical solution and an exact hierachical-equations-of-motion approach. We also show that, for the interacting case, this simple method can capture the strongly correlated low-temperature physics of Kondo resonance.

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