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Open AccessJournal ArticleDOI

Real-time diagrammatic Monte Carlo for nonequilibrium quantum transport

TLDR
In this paper, a numerically exact approach to nonequilibrium real-time dynamics that is applicable to quantum impurity models coupled to biased noninteracting leads, such as those relevant to quantum transport in nanoscale devices, is proposed.
Abstract
We propose a numerically exact approach to nonequilibrium real-time dynamics that is applicable to quantum impurity models coupled to biased noninteracting leads, such as those relevant to quantum transport in nanoscale devices. The method is based on a diagrammatic Monte Carlo sampling of the real-time perturbation theory along the Keldysh contour. We benchmark the method on a noninteracting resonant-level model and, as a first nontrivial application, we study zero-temperature nonequilibrium transport through a vibrating molecule.

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Journal ArticleDOI

Continuous-time Monte Carlo methods for quantum impurity models

TL;DR: In this paper, the continuous-time quantum Monte Carlo (QMC) algorithm is used to solve the local correlation problem in quantum impurity models with high and low energy scales and is effective for wide classes of physically realistic models.
Journal ArticleDOI

Nonequilibrium dynamical mean-field theory and its applications

TL;DR: In this paper, the authors discuss the nonequilibrium extension of the dynamical mean field theory (DMFT), which treats quantum fluctuations in the time domain and works directly in the thermodynamic limit.
Journal ArticleDOI

Non-Hermitian Physics

TL;DR: In this article, a review of non-Hermitian classical and quantum physics can be found, with an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-hermitian wave physics.
Journal ArticleDOI

The uniform electron gas at warm dense matter conditions

TL;DR: For the first time, thorough benchmarks of important approximation schemes regarding various quantities such as different energies, in particular the exchange-correlation free energy, and the static structure factor are possible.
Journal ArticleDOI

Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions.

TL;DR: By closing the gap to the ground state and by performing extensive QMC simulations for different spin polarizations, the first completely ab initio exchange-correlation free energy functional is obtained; the accuracy achieved is an unprecedented ∼0.3%.
References
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BookDOI

Introducing Molecular Electronics

TL;DR: A summary of the current understanding of molecular electronics combined with selected state-of-the-art results at a level accessible to the advanced undergraduate or novice postgraduate can be found in this paper.
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