### Abstract

We study the steady-state current in a minimal model for a quantum dot dominated by charge fluctuations and analytically describe the time evolution into this state. The current is driven by a finite-bias voltage V across the dot, and two different renormalization group methods are used to treat small-to-intermediate local Coulomb interactions. The corresponding flow equations can be solved analytically, which allows to identify all microscopic cutoff scales. Exploring the entire parameter space we find rich non-equilibrium physics which cannot be understood by simply considering the bias voltage as an infrared cutoff. For the experimentally relevant case of left-right asymmetric couplings, the current generically shows a power law suppression for large V. The relaxation dynamics towards the steady state features characteristic oscillations as well as an interplay of exponential and power law decay.

Original language | English |
---|---|

Article number | 30003 |

Journal | EPL |

Volume | 90 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2010 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*EPL*,

*90*(3), [30003]. https://doi.org/10.1209/0295-5075/90/30003

**Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot.** / Karrasch, C.; Andergassen, S.; Pletyukhov, M.; Schuricht, D.; Borda, L.; Meden, V.; Schoeller, H.

Research output: Contribution to journal › Article

*EPL*, vol. 90, no. 3, 30003. https://doi.org/10.1209/0295-5075/90/30003

}

TY - JOUR

T1 - Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot

AU - Karrasch, C.

AU - Andergassen, S.

AU - Pletyukhov, M.

AU - Schuricht, D.

AU - Borda, L.

AU - Meden, V.

AU - Schoeller, H.

PY - 2010

Y1 - 2010

N2 - We study the steady-state current in a minimal model for a quantum dot dominated by charge fluctuations and analytically describe the time evolution into this state. The current is driven by a finite-bias voltage V across the dot, and two different renormalization group methods are used to treat small-to-intermediate local Coulomb interactions. The corresponding flow equations can be solved analytically, which allows to identify all microscopic cutoff scales. Exploring the entire parameter space we find rich non-equilibrium physics which cannot be understood by simply considering the bias voltage as an infrared cutoff. For the experimentally relevant case of left-right asymmetric couplings, the current generically shows a power law suppression for large V. The relaxation dynamics towards the steady state features characteristic oscillations as well as an interplay of exponential and power law decay.

AB - We study the steady-state current in a minimal model for a quantum dot dominated by charge fluctuations and analytically describe the time evolution into this state. The current is driven by a finite-bias voltage V across the dot, and two different renormalization group methods are used to treat small-to-intermediate local Coulomb interactions. The corresponding flow equations can be solved analytically, which allows to identify all microscopic cutoff scales. Exploring the entire parameter space we find rich non-equilibrium physics which cannot be understood by simply considering the bias voltage as an infrared cutoff. For the experimentally relevant case of left-right asymmetric couplings, the current generically shows a power law suppression for large V. The relaxation dynamics towards the steady state features characteristic oscillations as well as an interplay of exponential and power law decay.

UR - http://www.scopus.com/inward/record.url?scp=78751644120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78751644120&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/90/30003

DO - 10.1209/0295-5075/90/30003

M3 - Article

AN - SCOPUS:78751644120

VL - 90

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 3

M1 - 30003

ER -