Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments

Han, S.; Schultz, Daniel J.; Kim, Yong Baek

doi:10.1103/physrevb.106.155155

Cited by 5 publications

(1 citation statement)

References 84 publications

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“…We use the diagrams [39,[59][60][61][62] with all permutations of vertices using the following algebra,…”

Section: Acknowledgmentsmentioning

confidence: 99%

Anderson Impurities In Edge States with Nonlinear Dispersion

M.¹

2023

Preprint

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A non-linear dispersion can significantly impact the Kondo problem, resulting in anomalous effects on electronic transport. By analyzing a special bath with a θ = π 3 symmetry rotation in the Brillouin zone or 3-fold symmetry in momentum, we derive an effective spin-spin interacting model. Combining the anisotropic Dzyaloshinskii-Moriya (DM) interaction with non-linear dispersion can lead to exceptional points (Ep) in a Hermitian model. Our RG analysis reveals that the spin relaxation time has the signature of coalescence in momentum-resolved couplings and an ideal logarithmic divergence in resistivity over a range of nonlinearity (β). The effective model at the impurity subspace has a Lie group structure of Dirac matrices. We show nontrivial renormalization within a Poorman approximation with the inclusion of potential scattering, and the invariant obtained will not be altered by potential scattering. We expand the model to a two-impurity Kondo model and investigate the Kondo destruction and anomalous spin transport signature by calculating the spin-relaxation time (τ ).Analysis of RG equations zeros and poles show a "Sign Reversion"(SR) regime exists for a Hermitian problem with a critical value of nonlinear coupling J k 3 . Our results show the existence of an out-of-phase RKKY oscillation above and below the critical value of the chemical potential.

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“…We use the diagrams [39,[59][60][61][62] with all permutations of vertices using the following algebra,…”

Section: Acknowledgmentsmentioning

confidence: 99%

Anderson Impurities In Edge States with Nonlinear Dispersion

M.¹

2023

Preprint

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Measurement of the magnetic octupole susceptibility of PrV2Al20

Ye,

Sorensen,

Bachmann

et al. 2024

Nat Commun

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Revealing the presence of magnetic octupole order and associated octupole fluctuations in solids is a highly challenging task due to the lack of simple external fields that can couple to magnetic octupoles. Here, we demonstrate a methodology for probing the magnetic octupole susceptibility of a candidate material, PrV 2 Al 20 , using a product of magnetic field H i and shear strain ϵ j k as a composite effective field, while employing an adiabatic elastocaloric effect to probe the response. We observe Curie-Weiss behavior in the obtained octupolar susceptibility down to approximately 3 K. Although octupole order does not appear to be the leading multipolar channel in PrV 2 Al 20 , our results nevertheless reveal the presence of strong magnetic octupole fluctuations and hence demonstrate that octupole order is at least a competing state. More broadly, our results highlight how anisotropic strain can be combined with magnetic fields to probe elusive ‘hidden’ electronic orders.

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