Dynamical Scaling of Charge and Spin Responses at a Kondo Destruction Quantum Critical Point

Cai, Ang; Yu, Zuodong; Hu, Haoyu; Kirchner, Stefan; Si, Qimiao

doi:10.1103/physrevlett.124.027205

Cited by 16 publications

(13 citation statements)

References 37 publications

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“…Because the magnetic quantum phase transition is accompanied by the transition from a phase with asymptotically decoupled local-moment and conductionelectron degrees of freedom to one in which the entangling of the two turns the 4f local moments into composite quasiparticles, it is natural that both the single-particle and charge dynamics are critical. Indeed, calculations at the Kondo-destruction QCP in various large-N limits (Cai et al, 2020;Kirchner et al, 2005;Komijani and Coleman, 2019;Zhu et al, 2004) and, more recently, in the physical N = 2 case (Cai et al, 2020) have shown such a singular charge dynamics. Intriguingly, this type of charge dynamical scaling in models of the Kondo limit smoothly connects to the ω/T -scaling for the charge dynamics in the beyond-Landau-type quantum criticality in the mixed-valence regime (Pixley et al, 2012).…”

Section: Discussionmentioning

confidence: 98%

Colloquium : Heavy-electron quantum criticality and single-particle spectroscopy

et al. 2020

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Angle-resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy (STM) have become indispensable tools in the study of correlated quantum materials. Both probe complementary aspects of the single-particle excitation spectrum. Taken together, ARPES and STM have the potential to explore properties of the electronic Green function, a central object of many-body theory. In this article, we explicate this potential with a focus on heavy-electron quantum criticality, especially the role of Kondo destruction. We discuss how to probe the Kondo destruction effect across the quantum critical point using ARPES and STM measurements. We place particular emphasis on the question of how to distinguish between the signatures of the initial onset of hybridization-gap formation, which is the "high-energy" physics to be expected in all heavy-electron systems, and those of Kondo destruction, which characterizes the low-energy physics and, hence, the nature of quantum criticality. We survey recent progress and possible challenges in the experimental investigations, compare the STM and ARPES spectra for several quantum critical heavy-electron compounds, and outline the prospects for further advances. CONTENTS I. Introduction 2 II. Quantum criticality 3 A. High-energy excitations, temperature evolution and mass enhancement 5 B. Isothermal evolution at low temperatures 6 C. Further considerations 6 D. Summary of Section II 6 III. ARPES, STM, and the single-particle Green function 6 A. The one-particle Green function 7 B. ARPES and STM 7 C. Probing quantum criticality in the Kondo lattice 8 D. Summary of Section III 9 IV. Quantum criticality in YbRh 2 Si 2 9 Summary of Section IV 11 V. The Cerium-based 115 family: photoemission vs. tunneling spectroscopy 11 A. CeIrIn 5 11 B. CeCoIn 5 12 C. CeRhIn 5 14 D. Further considerations 15 E. Summary of Section V 16 VI. Progress, challenges and prospects 16 A. High energy Kondo features 16 B. Isothermal evolution at low temperatures 17 C. Outlook 17 VII. Conclusion 19 Acknowledgements 19 References 20

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Section: Discussionmentioning

confidence: 98%

Colloquium : Heavy-electron quantum criticality and single-particle spectroscopy

et al. 2020

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“…The self-consistency on spin correlators has only been systematically justified in models with random exchange, like those considered above, as we noted at the end of Section VII.A. The numerical analyses were carried out for Ising spin symmetry (Glossop and Ingersent, 2007;Grempel and Si, 2003;Zhu et al, 2003Zhu et al, , 2007, although recent works have also examined SU(2) spin symmetry (Cai et al, 2020;Hu et al, 2020). Aspects of these studies are similar to the RG results described in Section VIII.D, with a SYK-like spin spectral density (i.e.…”

Section: E Numerical Analysismentioning

confidence: 99%

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Chowdhury,

Georges,

Parcollet

et al. 2021

Preprint

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We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The review is placed in the context of numerous experimental observations on correlated electron materials. Strong correlations in metals are often associated with their proximity to a Mott transition to an insulator created by the local Coulomb repulsion between the electrons. We explore the phase diagrams of a number of models of such local electronic correlation, employing a dynamical mean field theory in the presence of random spin exchange interactions. Numerical analyses and analytical solutions, using renormalization group methods and expansions in large spin degeneracy, lead to critical regions which display SYK physics. The models studied include the single-band Hubbard model, the t-J model and the two-band Kondo-Heisenberg model in the presence of random spin exchange interactions. We also examine non-Fermi liquids obtained by considering each SYK model with random four-fermion interactions to be a multi-orbital atom, with the SYK-atoms arranged in an infinite lattice. We connect to theories of sharp Fermi surfaces without any low-energy quasiparticles in the absence of spatial disorder, obtained by coupling a Fermi liquid to a gapless boson; a systematic large N theory of such a critical Fermi surface, with SYK characteristics, is obtained by averaging over an ensemble

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“…The dynamical large-N method is not capable of capturing the local Fermi liquid fixed point and instead results in an intermediate coupling fixed point that corresponds to an overscreened multichannel Kondo ground state possessing non-Fermi liquid properties [50,51]. This short-coming not withstanding, the large-N method yields controlled results for the critical properties of the pseudogap Kondo model and sub-Ohmic BFKM that are in line with those obtained using NRG and CT-QMC [24,38,52].…”

Section: Models Of Critical Kondo Destructionmentioning

confidence: 68%

“…As non-trivial ω/T scaling is not expected within the standard Landau-Ginzburg framework for magnetic criticality [1,36], it can serve as a diagnostic tool for unconventional criticality. It has been demonstrated that the spin-isotropic BFKM displays ω/T scaling at its Kondo-destroying QCP [37,38]. In the BFKM, Kondo screening becomes critical due to the competition with a singular bosonic bath.…”

Section: Models Of Critical Kondo Destructionmentioning

confidence: 99%

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Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem

Yu,

Zamani,

Ribeiro

et al. 2020

Preprint

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We study the behavior of the entropy of the pseudogap Bose-Fermi Kondo model within a dynamical large-N limit, where N is related to the symmetry group of the model. This model is a general quantum impurity model that describes a localized level coupled to a fermionic bath having a density of states that vanishes in a powerlaw fashion near the Fermi energy and to a bosonic bath possessing a powerlaw spectral density below a cutoff energy. As a function of the couplings to the baths various quantum phase transitions can occur. We study how the impurity entropy changes across these zero-temperature transitions and compare our results with predictions based on the gtheorem. This is accomplished by an analysis of the leading and sub-leading scaling behavior. Our analysis shows that the g-theorem does not apply to the pseudogap Bose-Fermi Kondo model at the large-N level. This inapplicability originates from an anomalous contribution to the scaling function in the hydrodynamic regime where kBT > ω which is absent in the quantum coherent regime, i.e., for kBT < ω. We also compare our results with those obtained for the Sachdev-Ye-Kitaev or SYK model.

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Dynamical Scaling of Charge and Spin Responses at a Kondo Destruction Quantum Critical Point

Cited by 16 publications

References 37 publications

Colloquium : Heavy-electron quantum criticality and single-particle spectroscopy

Colloquium : Heavy-electron quantum criticality and single-particle spectroscopy

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem

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