Solvable limit for the SU(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:math>) Kondo model

Duki, Solomon

doi:10.1103/physrevb.83.134423

Cited by 2 publications

(2 citation statements)

References 23 publications

(42 reference statements)

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“…The SIAM (along with its U → ∞ limit, the Kondo model) has been studied using several analytical and numerical techniques [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. The general conclusion for the positive U case at T = 0 is that on the particle-hole symmetric (that is, half-filled) line, the impurity local moment is always screened by the conduction electrons (referred to as the Kondo cloud [46][47][48][49][50][51][52][53][54][55][56][57]).…”

Section: The Extended Anderson Impurity Modelmentioning

confidence: 99%

Kondo frustration via charge fluctuations: a route to Mott localisation

Mukherjee,

Vidhyadhiraja,

Taraphder

et al. 2023

New J. Phys.

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We propose a minimal effective impurity model that captures the phenomenology of the Mott–Hubbard metal–insulator transition of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean field theory (DMFT). This involves extending the standard Anderson impurity model Hamiltonian to include an explicit Kondo coupling J, as well as a local on-site correlation Ub on the conduction bath site connected directly to the impurity. For the case of attractive local bath correlations ( U b < 0 ), the extended Anderson impurity model (e-SIAM) sheds new light on several aspects of the DMFT phase diagram. For example, the T = 0 metal-to-insulator quantum phase transition (QPT) is preceded by an excited state QPT (ESQPT) where the local moment eigenstates are emergent in the low-lying spectrum. Long-ranged fluctuations are observed near both the QPT and ESQPT, suggesting that they are the origin of the quantum critical scaling observed recently at high temperatures in DMFT simulations. The T = 0 gapless excitations at the quantum critical point display particle-hole interconversion processes, and exhibit power-law behaviour in self-energies and two-particle correlations. These are signatures of non-Fermi liquid behaviour that emerge from the partial breakdown of the Kondo screening.

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Section: The Extended Anderson Impurity Modelmentioning

confidence: 99%

Kondo frustration via charge fluctuations: a route to Mott localisation

Mukherjee,

Vidhyadhiraja,

Taraphder

et al. 2023

New J. Phys.

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“…Each dot is connected to two contacts in such a way that the tunneling events conserve the flavor degree of freedom. Notice that in principle, this setup can be easily generalized to build an arbitrary SU(N ) Kondo state, [53][54][55][56][57] although that would entail designing a device with equal capacitive coupling between all QD pairs. Importantly, the only interaction among the dots is capacitative and there is no particle exchange from one dot to the others, i.e., the interdot tunneling is not allowed since this would destroy the flavor conservation rule.…”

Section: Introductionmentioning

confidence: 99%

SU(3) Kondo effect in spinless triple quantum dots

et al. 2013

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We discuss a device-a purely capacitively coupled interacting triple quantum dot system in an external magnetic field-for the observation of the SU(3) Kondo effect, identified by the conductance being pinned to a characteristic value of 3/4 of the unitary limit. The Kondo effect occurs in two plateaus where the dot occupancy is pinned to an integer value, either 1 or 2. We discuss the thermodynamic and spectral properties of the corresponding triple-impurity model and establish how the presence of SU(3) Kondo screening can be identified in the temperature dependence of the conductance through one of the dots. We report results about the robustness of the SU(3) Kondo effect against various perturbations present in real experimental setups, namely unequal reservoir-dot tunneling couplings, gating effects, and nonvanishing interdot tunneling rates. Finally, we describe possible mechanisms to restore the SU(3) Kondo physics by properly tuning the on-site dot potentials. We briefly comment on the spinful case (i.e., the same system in the absence of the magnetic field), which has very different behavior and shows Kondo plateaus in conductance for all integer values of the occupancy, including at the particle-hole symmetric point.

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Solvable limit for the SU(N) Kondo model

Cited by 2 publications

References 23 publications

Kondo frustration via charge fluctuations: a route to Mott localisation

Kondo frustration via charge fluctuations: a route to Mott localisation

SU(3) Kondo effect in spinless triple quantum dots

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