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Volumn 78, Issue 23, 2008, Pages

Transient dynamics of the Anderson impurity model out of equilibrium

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EID: 58149175663     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.235110     Document Type: Article
Times cited : (142)

References (42)
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    • We assume the electrodes to be large enough in order to have a meaningful concept of temperature.
    • We assume the electrodes to be large enough in order to have a meaningful concept of temperature.
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    • At finite temperature the single-particle levels can be considered as broadened, having the typical width of T. That is why it is natural to assume the band boundaries to be widened with η≈T.
    • At finite temperature the single-particle levels can be considered as broadened, having the typical width of T. That is why it is natural to assume the band boundaries to be widened with η≈T.
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    • In imaginary time, the diagrammatic Monte Carlo simulation of the AIM does not encounter a sign problem. All the (fermionic) sign cancellations between crossing and noncrossing diagrams can be absorbed into the determinant of self-energies (hybridization functions), and the imaginary time evolution e- Hloc τ gives a real contribution to the weight. In real-time diagrammatic Monte Carlo, both the self-energies and the time evolution operator are complex.
    • In imaginary time, the diagrammatic Monte Carlo simulation of the AIM does not encounter a sign problem. All the (fermionic) sign cancellations between crossing and noncrossing diagrams can be absorbed into the determinant of self-energies (hybridization functions), and the imaginary time evolution e- Hloc τ gives a real contribution to the weight. In real-time diagrammatic Monte Carlo, both the self-energies and the time evolution operator are complex.


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