Quantum Monte Carlo solution of the dynamical mean field equations in real time

Dong, Qian; Krivenko, Igor; Kleinhenz, Joseph; Antipov, Andrey E.; Cohen, Guy; Gull, Emanuel

doi:10.1103/physrevb.96.155126

Cited by 41 publications

(29 citation statements)

References 51 publications

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“…It is based on a Keldysh expansion in the tunneling Hamiltonian H T , also known as the hybridization expansion [23][24][25][26][27]. Inchworm QMC methods have been applied to a variety of applications involving both quantum impurity models [28][29][30][31][32][33] and strongly correlated materials [34,35]. Since the method is computationally demanding, it is not yet feasible to The inset zooms in on the peak at the Fermi energy for the β = 50Γ −1 case.…”

Section: Methodsmentioning

confidence: 99%

The Kondo Cloud in a 1D Nanowire

Kleinhenz¹,

Krivenko²,

Cohen³

et al. 2021

Preprint

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A recent experiment [Nature 579, 210-213 (2020)] probed the extent of the Kondo cloud in 1D by measuring the effect of electrostatic perturbations applied a distance L away from the impurity on TK . We study the Kondo cloud in a model proposed to describe this experimental setup, consisting of a single impurity Anderson model coupled to two semi-infinite 1D leads. In agreement with the experimental results, we find that TK is strongly affected by perturbations to the lead within the Kondo cloud. We obtain a complementary picture of the Kondo cloud in this system by observing how the Kondo state manifests itself in the local density of states of the leads, which may be observed experimentally via scanning tunneling microscopy. Our results support the existing experimental data and provide detailed predictions for future experiments seeking to characterize the Kondo cloud in this system.

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Section: Methodsmentioning

confidence: 99%

The Kondo Cloud in a 1D Nanowire

Kleinhenz¹,

Krivenko²,

Cohen³

et al. 2021

Preprint

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“…In fact, in much of the work so far, iQMC has been used to study the strongly correlated Kondo regime. 13,53,99,102,103 We limit ourselves to high temperatures specifically so that any breakdown of QME is unrelated to Kondo and therefore due only to the finite nature of the band.…”

Section: B General Picture Within Master Equationsmentioning

confidence: 99%

Lead geometry and transport statistics in molecular junctions

Ridley

Gull

Cohen

2019

The Journal of Chemical Physics

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We present a numerically exact study of charge transport and its fluctuations through a molecular junction driven out of equilibrium by a bias voltage, using the Inchworm quantum Monte Carlo (iQMC) method.After showing how the technique can be used to address any lead geometry, we concentrate on one dimensional chains as an example. The finite bandwidth of the leads is shown to affect transport properties in ways that cannot be fully captured by quantum master equations: in particular, we reveal an interactioninduced broadening of transport channels that is visible at all voltages, and show how fluctuations of the current are a more sensitive probe of this effect than the mean current.

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“…However, it cannot be used to systematically examine, e.g., the scaling limit that emerges at low energies, where at least vertex corrections are needed [71][72][73][74] and numerically exact methods are desirable. The NCA used here is the lowest order precursor of the numerically exact bold-line Monte Carlo [48,60,68,75,76] and Inchworm Monte Carlo [49,[77][78][79][80][81][82][83][84] methods. Other recent approaches to the impurity problem may also be applicable to the same problem [85][86][87][88][89], and revisiting this work within a controlled numerical scheme will be a goal for future studies.…”

Section: Introductionmentioning

confidence: 99%

Resolving the nonequilibrium Kondo singlet in energy- and position-space using quantum measurements

Erpenbeck

Cohen

2021

SciPost Phys.

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The Kondo effect, a hallmark of strong correlation physics, is characterized by the formation of an extended cloud of singlet states around magnetic impurities at low temperatures. While many implications of the Kondo cloud's existence have been verified, the existence of the singlet cloud itself has not been directly demonstrated. We suggest a route for such a demonstration by considering an observable that has no classical analog, but is still experimentally measurable: ``singlet weights'', or projections onto particular entangled two-particle states. Using approximate theoretical arguments, we show that it is possible to construct highly specific energy- and position-resolved probes of Kondo correlations. Furthermore, we consider a quantum transport setup that can be driven away from equilibrium by a bias voltage. There, we show that singlet weights are enhanced by voltage even as the Kondo effect is weakened by it. This exposes a patently nonequilibrium mechanism for the generation of Kondo-like entanglement that is inherently different from its equilibrium counterpart.

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Quantum Monte Carlo solution of the dynamical mean field equations in real time

Cited by 41 publications

References 51 publications

The Kondo Cloud in a 1D Nanowire

The Kondo Cloud in a 1D Nanowire

Lead geometry and transport statistics in molecular junctions

Resolving the nonequilibrium Kondo singlet in energy- and position-space using quantum measurements

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