Normal State 
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 NMR Studies of 
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Pustogow, Andrej; Guzmán, Pedro E. Encinosa; Dioguardi, A. P.; Thomas, S. M.; Ronning, F.; Kikugawa, Naoki; Sokolov, Dmitry; Jerzembeck, Fabian; Mackenzie, Andrew P.; Hicks, Clifford W.; Bauer, E. D.; Mazin, I. I.; Brown, Stuart

doi:10.1103/physrevx.9.021044

Cited by 36 publications

(69 citation statements)

References 42 publications

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“…The symmetry group of this model is C 1v with mirror symmetry. This model could be relevant in some ruthenate systems [41][42][43][44]. When 1/4 < t x /t x 1/2, we can always find with an appropriate phase φ = φ(t x /t x ) so that a saddle point of A 2 class is realized at a point of k y = 0 line.…”

Section: Appendix B: Tight-binding Modelsmentioning

confidence: 99%

“…To summarize, based on general principles of topology, scaling and symmetry, we systematically describe and classify critical points from 1D to 3D, especially highorder critical points in 2D. Our results include ordinary VHS as a natural corollary, and could be relevant in realistic materials such as 2D moiré systems [13,17], ruthenate [11,12,[41][42][43][44] and cuprate [2][3][4][45][46][47][48][49][50] materials. As the DOS near high-order critical points can be power-law divergent and particle-hole asymmetric, we expect highorder critical points can play important roles in transport phenomena and interaction effects, which may help us to understand correlated phases such as unconventional superconductivity and non-Fermi liquid.…”

Section: A 2d Examplesmentioning

confidence: 99%

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Classification of critical points in energy bands based on topology, scaling, and symmetry

Yuan

2020

Phys. Rev. B

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A critical point of the energy dispersion is the momentum where electron velocity vanishes. At the corresponding energy, the density of states (DOS) exhibits non-analyticity such as divergence. Critical points can be first classified as ordinary and high-order ones, and the ordinary critical points have been studied thoroughly by Léon van Hove. In this work, we describe and classify high-order critical points based on topology, scaling and symmetry, which are beyond Léon van Hove's framework. We show that high-order critical points can have power-law divergent DOS with particle-hole asymmetry, and can be realized at generic or symmetric momenta by tuning a few parameters such as twist angle, strain, pressure and/or external fields.

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Section: Appendix B: Tight-binding Modelsmentioning

confidence: 99%

Section: A 2d Examplesmentioning

confidence: 99%

Classification of critical points in energy bands based on topology, scaling, and symmetry

Yuan

2020

Phys. Rev. B

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“…Before proceeding, we briefly mention the Fermi surfaces in strained Sr 2 RuO 4 [9][10][11]. It has a quasi-twodimensional electronic structure with a layered perovskite structure.…”

Section: Modelmentioning

confidence: 99%

“…In this section, we adopt the Wilsonian approach to the RG equations for the action Eq. (11). For clarity, we consider first the action at T = 0, where we will find fixed points.…”

Section: Energy-shell Rg Analysismentioning

confidence: 99%

Supermetal

Isobe

2019

Phys. Rev. Research

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We study the effect of electron interaction in an electronic system with a high-order Van Hove singularity, where the density of states shows a power-law divergence. Owing to scale invariance, we perform a renormalization group (RG) analysis to find a nontrivial metallic behavior where various divergent susceptibilities coexist but no long-range order appears. We term such a metallic state as a supermetal. Our RG analysis reveals the Gaussian fixed point and a nontrivial interacting fixed point, which draws an analogy to the φ 4 theory. We further present a finite anomalous dimension at the interacting fixed point by a controlled RG analysis, thus establishing an interacting supermetal as a non-Fermi liquid. arXiv:1905.05188v1 [cond-mat.str-el]

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“…Based on density-functional calculations 4 , a working hypothesis has been that uniaxial pressure is driving the γ Fermi surface sheet through a Lifshitz transition. 4,7,26 Once traversed, the γ sheet would become open, a very unusual situation in an unconventional superconductor. However, it remains unclear if the intuitions based on single-particle calculations really represent a good starting point for considering strain-dependent changes to a Hund's metal system where orbital-dependent correlations are known to be highly important.…”

mentioning

confidence: 99%

Direct observation of a uniaxial stress-driven Lifshitz transition in Sr2RuO4

et al. 2019

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Pressure represents a clean tuning parameter for traversing the complex phase diagrams of interacting electron systems 1,2 , and as such has proved of key importance in the study of quantum materials. Application of controlled uniaxial pressure has recently been shown to more than double the transition temperature of the unconventional superconductor Sr 2 RuO 4 for example 3-5 , leading to a pronounced peak in T c vs. strain whose origin is still under active debate 4,6,7 . Here, we develop a simple and compact method to apply large uniaxial pressures passively in restricted sample environments, and utilize this to study the evolution of the electronic structure of Sr 2 RuO 4 using angle-resolved photoemission. We directly visualize how uniaxial stress drives a Lifshitz transition of the γ-band Fermi surface, pointing to the key role of strain-tuning its associated van Hove singularity to the Fermi level in mediating the peak in T c 7 . Our measurements provide stringent constraints for theoretical models of the strain-tuned electronic structure evolution of Sr 2 RuO 4 . More generally, our novel experimental approach opens the door to future studies of straintuned phase transitions not only using photoemission, but also other experimental techniques where large pressure cells or piezoelectric-based devices may be difficult to implement.The layered perovskite Sr 2 RuO 4 has been extensively studied both because of its celebrated unconventional superconductivity 5,8-11 and the accuracy with which its normal state properties can be measured 12-15 and analysed [16][17][18][19] . In spite of a quarter of a century of work, there is still no consensus on the symmetry of its superconducting order parameter, or the mechanism by which the superconductivity condenses 5 . This is a major unsolved problem because its electronic structure, which is relatively simple compared to that of many other unconventional superconductors, is now known in considerable detail and its metallic state is firmly established to be a Fermi liquid below approximately 30 K 13 . A full understanding of the Sr 2 RuO 4 problem is therefore a benchmark for the progress of the fields of strongly interacting systems and unconventional superconductivity.

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Normal State O17 NMR Studies of Sr2RuO4

Cited by 36 publications

References 42 publications

Classification of critical points in energy bands based on topology, scaling, and symmetry

Classification of critical points in energy bands based on topology, scaling, and symmetry

Supermetal

Direct observation of a uniaxial stress-driven Lifshitz transition in Sr2RuO4

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