Uncovering Non-Fermi-Liquid Behavior in Hund Metals: Conformal Field Theory Analysis of an SU(2)×SU(3) Spin-Orbital Kondo Model

Walter, E.; Stadler, K. M.; Lee, S. -S. B.; Wang, Y.; Kotliar, G.; Weichselbaum, A.; von Delft, J.

doi:10.1103/PhysRevX.10.031052

Title: Uncovering Non-Fermi-Liquid Behavior in Hund Metals: Conformal Field Theory Analysis of an SU(2)×SU(3) Spin-Orbital Kondo Model

Journal Article · Thu Sep 03 00:00:00 EDT 2020 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.10.031052· OSTI ID:1659543

;

; Kotliar, G.; Weichselbaum, A.; von Delft, J.

Hund metals have attracted attention in recent years due to their unconventional superconductivity, which supposedly originates from non-Fermi-liquid (NFL) properties of the normal state. When studying Hund metals using dynamical mean-field theory, one arrives at a self-consistent “Hund impurity problem” involving a multiorbital quantum impurity with nonzero Hund coupling interacting with a metallic bath. If its spin and orbital degrees of freedom are screened at different energy scales, $T_{sp} < T_{orb}$ , the intermediate energy window is governed by a novel NFL fixed point, whose nature had not yet been clarified. We resolve this problem by providing an analytical solution of a paradigmatic example of a Hund impurity problem, involving two spin and three orbital degrees of freedom. To this end, we combine a state-of-the-art implementation of the numerical renormalization group, capable of exploiting non-Abelian symmetries, with a generalization of Affleck and Ludwig’s conformal field theory (CFT) approach for multichannel Kondo models. We characterize the NFL fixed point of Hund metals in detail for a Kondo model with an impurity forming an $SU (2) \times SU (3)$ spin-orbital multiplet, tuned such that the NFL energy window is very wide. The impurity’s spin and orbital susceptibilities then exhibit striking power-law behavior, which we explain using CFT arguments. We find excellent agreement between CFT predictions and numerical renormalization group results. Our main physical conclusion is that the regime of spin-orbital separation, where orbital degrees of freedom have been screened but spin degrees of freedom have not, features anomalously strong local spin fluctuations: the impurity susceptibility increases as $χ_{sp}^{imp} ~ ω^{- γ}$ , with $γ > 1$ .

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); German Research Foundation (DFG); National Science Foundation (NSF)

Grant/Contract Number:: SC0012704; LE3883/2-1; DMR-1733071

OSTI ID:: 1659543

Alternate ID(s):: OSTI ID: 1658810

Report Number(s):: BNL-216342-2020-JAAM; PRXHAE; 031052

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Vol. 10 Journal Issue: 3; ISSN 2160-3308

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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