Kondo effect in Lieb's ferrimagnetic system on the T-shaped bipartite lattice

Abstract

The minimal ferrimagnetism by Lieb's theorem emerges on the T-shaped bipartite lattice composed of four sites, which can be realized experimentally, just as Nagaoka ferromagnetism has been demonstrated experimentally using a quartet quantum-dot(J.P.Dehollain et al., Nature 579, 528 (2020).). In this paper, the Kondo effect on this ferrimagnetism is theoretically studied. The magnetic moment $S=1$ is screened in two steps by the Kondo effect and the series conductance $g_s$ is strongly suppressed to $g_s\simeq 0$, while the parallel conductance $g_p$ has the maximum value $g_p\simeq 4e^2/h$. The robustness of these properties against a parameter change toward reducing the Lieb's ferrimagnetism is also discussed, showing the scenarios for entanglement of the degrees of freedom toward the ground state.

8 pages, 8 figures

References in corpus (7)

• Observation of the two-channel Kondo effect
• Robustness of edge states in graphene quantum dots
• Strongly correlated regimes in a double quantum-dot device
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and Numerical Renormalization Group analysis
• Quasi-Phase Transition and Many-Spin Kondo Effects in Graphene Nanodisk
• Generation and Manipulation of Spin Current in Graphene Nanodisks: Robustness against Randomness and Lattice Defects

Cited by in corpus (1)

• Quantum entanglement in a pure state of strongly correlated quantum impurity systems