### Abstract

Original language | English |
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Pages (from-to) | 045132 |

Number of pages | 1 |

Journal | Physical Review / B |

Volume | 88 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Jul 2013 |

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**Steady-state and quench-dependent relaxation of a quantum dot coupled to one-dimensional leads.** / Nuss, Martin; Ganahl, Martin; Evertz, Hans Gerd; Arrigoni, Enrico; von der Linden, Wolfgang.

Research output: Contribution to journal › Article › Research › peer-review

*Physical Review / B*, vol. 88, no. 4, pp. 045132. https://doi.org/10.1103/PhysRevB.88.045132

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TY - JOUR

T1 - Steady-state and quench-dependent relaxation of a quantum dot coupled to one-dimensional leads

AU - Nuss, Martin

AU - Ganahl, Martin

AU - Evertz, Hans Gerd

AU - Arrigoni, Enrico

AU - von der Linden, Wolfgang

PY - 2013/7/1

Y1 - 2013/7/1

N2 - We study the time evolution and steady state of the charge current in a single-impurity Anderson model, using matrix product states techniques. A nonequilibrium situation is imposed by applying a bias voltage across one-dimensional tight-binding leads. Focusing on particle-hole symmetry, we extract current-voltage characteristics from universal low-bias up to high-bias regimes, where band effects start to play a dominant role. We discuss three quenches, which after strongly quench-dependent transients yield the same steady-state current. Among these quenches we identify those favorable for extracting steady-state observables. The period of short-time oscillations is shown to compare well to real-time renormalization group results for a simpler model of spinless fermions. We find indications that many-body effects play an important role at high-bias voltage and finite bandwidth of the metallic leads. The growth of entanglement entropy after a certain time scale ∝Δ−1 is the major limiting factor for calculating the time evolution. We show that the magnitude of the steady-state current positively correlates with entanglement entropy. The role of high-energy states for the steady-state current is explored by considering a damping term in the time evolution.

AB - We study the time evolution and steady state of the charge current in a single-impurity Anderson model, using matrix product states techniques. A nonequilibrium situation is imposed by applying a bias voltage across one-dimensional tight-binding leads. Focusing on particle-hole symmetry, we extract current-voltage characteristics from universal low-bias up to high-bias regimes, where band effects start to play a dominant role. We discuss three quenches, which after strongly quench-dependent transients yield the same steady-state current. Among these quenches we identify those favorable for extracting steady-state observables. The period of short-time oscillations is shown to compare well to real-time renormalization group results for a simpler model of spinless fermions. We find indications that many-body effects play an important role at high-bias voltage and finite bandwidth of the metallic leads. The growth of entanglement entropy after a certain time scale ∝Δ−1 is the major limiting factor for calculating the time evolution. We show that the magnitude of the steady-state current positively correlates with entanglement entropy. The role of high-energy states for the steady-state current is explored by considering a damping term in the time evolution.

U2 - 10.1103/PhysRevB.88.045132

DO - 10.1103/PhysRevB.88.045132

M3 - Article

VL - 88

SP - 045132

JO - Physical Review / B

JF - Physical Review / B

SN - 1098-0121

IS - 4

ER -