Abstract
The auxiliary master equation approach [1,2] allows for an accurate and efficient treatment of correlated impurities out of equilibrium. The method is based upon a mapping onto an auxiliary open quantum system in which the impurity is coupled to bath orbitals as well as to a Markovian environment. The intervening auxiliary orbitals allow for a treatment of non-Markovian dynamics at the impurity. The time dependence of this auxiliary system is controlled by a Lindblad master equation whose parameters are used to optimize the mapping, which becomes exponentially exact upon increasing the number of bath orbitals [3]. Green's functions are evaluated by (non-hermitian) Lanczos exact diagonalisation [2] or by matrix-product states (MPS) [4].
Applications to nonequilibrium Dynamical Mean Field Theory (DMFT) [5] and a generalisation to treat periodically driven quantum systems within Floquet theory will be discussed. We present novel results of the (periodic-)steady state properties of an electric field driven mott insolator connected to non-interacting leads as a simplified model of a so called ``Mott Solar Cell''. The latter beeing a candidate of a highly efficient solar cell because of carier proliferation due to impact ionisation processes[6-8].
1. E. Arrigoni et al., Phys. Rev. Lett. {\bf110}, 086403 (2013).\newline
2. A. Dorda et al., Phys. Rev. B {\bf89} 165105 (2014).\newline
3. A. Dorda et al., arXiv {\bf1608}, 04632 (2016).\newline
4. A. Dorda et al., Phys. Rev. B {\bf92}, 125145 (2015).\newline
5. I. Titvinidze et al., Phys. Rev. B {\bf92}, 245125 (2015).\newline
6. E. Manousakis, Phys. Rev. B, {\bf82}, 125109, (2010).\newline
7. E. Assman et al., Phys. Rev. Lett. {\bf110}, 078701 (2013).\newline
8. M. Eckstein and P. Werner, Phys. Rev. Lett. {\bf113}, 076405 (2014).
Applications to nonequilibrium Dynamical Mean Field Theory (DMFT) [5] and a generalisation to treat periodically driven quantum systems within Floquet theory will be discussed. We present novel results of the (periodic-)steady state properties of an electric field driven mott insolator connected to non-interacting leads as a simplified model of a so called ``Mott Solar Cell''. The latter beeing a candidate of a highly efficient solar cell because of carier proliferation due to impact ionisation processes[6-8].
1. E. Arrigoni et al., Phys. Rev. Lett. {\bf110}, 086403 (2013).\newline
2. A. Dorda et al., Phys. Rev. B {\bf89} 165105 (2014).\newline
3. A. Dorda et al., arXiv {\bf1608}, 04632 (2016).\newline
4. A. Dorda et al., Phys. Rev. B {\bf92}, 125145 (2015).\newline
5. I. Titvinidze et al., Phys. Rev. B {\bf92}, 245125 (2015).\newline
6. E. Manousakis, Phys. Rev. B, {\bf82}, 125109, (2010).\newline
7. E. Assman et al., Phys. Rev. Lett. {\bf110}, 078701 (2013).\newline
8. M. Eckstein and P. Werner, Phys. Rev. Lett. {\bf113}, 076405 (2014).
Originalsprache | englisch |
---|---|
Publikationsstatus | Veröffentlicht - 24 Okt. 2016 |
Veranstaltung | Workshop on Correlations, Integrability and Criticality in Quantum Systems - Univercity of Evora, Evora, Portugal Dauer: 24 Okt. 2016 → 28 Jan. 2017 http://www.cicqs.uevora.pt/ |
Konferenz
Konferenz | Workshop on Correlations, Integrability and Criticality in Quantum Systems |
---|---|
Land/Gebiet | Portugal |
Ort | Evora |
Zeitraum | 24/10/16 → 28/01/17 |
Internetadresse |
Fields of Expertise
- Advanced Materials Science