Universal low-temperature crossover in two-channel Kondo models

Mitchell, Andrew K.; Sela, Eran

doi:10.1103/physrevb.85.235127

Cited by 62 publications

(60 citation statements)

References 86 publications

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“…More recent work has clarified with the relation between this transition and the non-Fermi liquid fixed point of the two channel Kondo model. A recent paper of Sela and Mitchell 24 has addressed the crossover as a function of temperature between the Fermi liquid and non-Fermi liquid regimes. It would be interesting to examine this crossover in terms of renormalized parameters using the approach which was developed and applied to the two channel Kondo model 28,29 .…”

Section: Discussionmentioning

confidence: 99%

“…We give a brief description how they may be deduced from the low energy fixed point in an NRG calculation. The results of these calculations enable us to test the predictions given in Eqns (23) and (24). An evaluation of the RPT expressions gives a comprehensive picture of the low energy behavior of the model in the Fermi liquid regimes.…”

Section: Rpt Analysismentioning

confidence: 99%

“…In particular we test the RPT conjecture of the emergence of a single energy scale on the approach to the QCP and the predictions given in Eqn. (24).…”

Section: Particle-hole Symmetric Casementioning

confidence: 99%

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Phase diagram and critical points of a double quantum dot

2012

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We apply a combination of numerical renormalization group (NRG) and renormalized perturbation theory (RPT) to a model of two quantum dots (impurities) described by two Anderson impurity models hybridized to their respective baths. The dots are coupled via a direct interaction U12 and an exchange interaction J. The model has two types of quantum critical points, one at J = Jc to a local singlet state and one at U12 = U c 12 to a locally charge ordered state. The renormalized parameters which determine the low energy behavior are calculated from the NRG. The results confirm the values predicted from the RPT on the approach to the critical points, which can be expressed in terms of a single energy scale T * in all cases. This includes cases without particle-hole symmetry, and cases with asymmetry between the dots, where there is also a transition at J = Jc. The results give a comprehensive quantitative picture of the behavior of the model in the low energy Fermi liquid regimes, and some of the conclusions regarding the emergence of a single energy scale may apply to a more general class of quantum critical points, such as those observed in some heavy fermion systems.

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Section: Discussionmentioning

confidence: 99%

Section: Rpt Analysismentioning

confidence: 99%

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Phase diagram and critical points of a double quantum dot

2012

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“…The applicability of the field theory S h to the two channel Kondo model has been identified in Ref. [44], wherein, h corresponds to one of few perturbations of the model 45 , e.g. channel anisotropy, where one channel couples more strongly to the impurity spin.…”

Section: Ising Boundary Universality Classmentioning

confidence: 99%

Entanglement entropy and boundary renormalization group flow: Exact results in the Ising universality class

Cornfeld

Sela

2017

Phys. Rev. B

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The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization group flow, as predicted by the g-theorem. Here, using conformal field theory methods, we exactly calculate the entanglement entropy in the boundary Ising universality class. Our expression can be separated into the well known bulk term and a boundary entanglement term, displaying a universal flow between two boundary conditions, in accordance with the g-theorem. These results are obtained within the replica trick approach, where we show that the associated twist field, a central object generating the geometry of an n-sheeted Riemann surface, can be bosonized, giving simple analytic access to multiple quantities of interest. We argue that our result applies to other models falling into the same universality class. This includes the vicinity of the quantum critical point of the two-channel Kondo model, allowing to track in real space the presence of a region containing one half of a qubit with entropy 1 2 log(2), associated with a free local Majorana fermion.

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“…Already the extension to two or three orbital systems has lead to the discovery of striking phenomena such as the ferromagnetic Kondo effect313233 corresponding to a sign change of the exchange coupling, and multistage3536 or frustrated3738394041424344 screening.…”

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confidence: 99%

Kondo blockade due to quantum interference in single-molecule junctions

et al. 2017

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Molecular electronics offers unique scientific and technological possibilities, resulting from both the nanometre scale of the devices and their reproducible chemical complexity. Two fundamental yet different effects, with no classical analogue, have been demonstrated experimentally in single-molecule junctions: quantum interference due to competing electron transport pathways, and the Kondo effect due to entanglement from strong electronic interactions. Here we unify these phenomena, showing that transport through a spin-degenerate molecule can be either enhanced or blocked by Kondo correlations, depending on molecular structure, contacting geometry and applied gate voltages. An exact framework is developed, in terms of which the quantum interference properties of interacting molecular junctions can be systematically studied and understood. We prove that an exact Kondo-mediated conductance node results from destructive interference in exchange-cotunneling. Nonstandard temperature dependences and gate-tunable conductance peaks/nodes are demonstrated for prototypical molecular junctions, illustrating the intricate interplay of quantum effects beyond the single-orbital paradigm.

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Universal low-temperature crossover in two-channel Kondo models

Cited by 62 publications

References 86 publications

Phase diagram and critical points of a double quantum dot

Phase diagram and critical points of a double quantum dot

Entanglement entropy and boundary renormalization group flow: Exact results in the Ising universality class

Kondo blockade due to quantum interference in single-molecule junctions

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