Normal State Properties of Quantum Critical Metals at Finite Temperature

Klein, Avraham; Schattner, Yoni; Berg, Erez; Chubukov, Andrey V.

doi:10.1103/physrevx.10.031053

Cited by 44 publications

(63 citation statements)

References 56 publications

(151 reference statements)

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“…The main result is a thermal contribution Σ T ∼ g 2 T that dominates over a wide range of frequencies and temperatures. A similar scaling was recently found in [16]. We argued that this modifies the standard picture of quantum phase transitions and the quantum to classical crossover in conceptually important ways, and we discussed some of the implications.…”

Section: B Bcs Interactions and Superconductivitysupporting

confidence: 76%

“…Hence on-shell bosons do not obey a z b = 2 scaling, something also observed in [13]. Nevertheless, there can be off-shell processes for which (IV.11) matters, as discussed recently in [16] in connection with the Monte Carlo results [27][28][29][30][31].…”

Section: A Quantum and Thermal Dynamicsmentioning

confidence: 81%

“…Furthermore, while we have argued that superconductivity becomes irrelevant above N c = 8, we plan to present a detailed analysis at finite temperature in future work, finding the solutions to the corrected Eliashberg equations and revisiting the role of the first Matsubara frequencies [15,23,24]. Another direction recently explored in [16,17] is the relevance of thermal effects to numerical quantum Monte Carlo results [28][29][30][31], something that deserves further study both at finite but small temperature and including the effects of pairing interactions. Finally, the methods of this paper for a z b = 3 bosonic scaling could be extended to more general z b > 1.…”

Section: B Bcs Interactions and Superconductivitymentioning

confidence: 94%

“…For this, we can solve (III. 16) numerically, but it is useful to develop intuition about the different regimes. Let us again work at low temperatures (we will fix the temperature window shortly).…”

Section: The Fermion Self-energymentioning

confidence: 99%

“…1 In contrast, much less is known about infrared problems at finite density. Work in this area, both in the condensed matter and high energy fields, includes [6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

How non-Fermi liquids cure their infrared divergences

2020

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Non-Fermi liquids in d = 2 spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are caused by virtual static bosonic modes, and afflict both fermionic and bosonic correlators. We show how these divergences are resolved by selfconsistent boson and fermion self-energies that resum an infinite class of diagrams and correct the standard Eliashberg equations. Extending a previous approach in d = 3 − dimensions, we find a new "thermal non-Fermi liquid" regime that violates the scaling laws of the zero temperature fixed point and dominates over a wide range of scales. We conclude that basic properties of quantum phase transitions and quantum-classical crossovers at finite temperature are modified in crucial ways in systems with soft bosonic fluctuations, and we begin a study of some of the phenomenological consequences. Contents I. Introduction 1 II. Boson-fermion model at finite temperature 2 A. Origin of infrared divergences 3 B. -expansion and SD equations 5 III. Resolution of the infrared divergences 6 A. A dangerous irrelevant operator in the thermal theory 6 B. Self-consistent boson mass 7 C. The fermion self-energy 8 IV. Phenomenological consequences 9 A. Quantum and thermal dynamics 10 B. BCS interactions and superconductivity 11 V. Discussion and future directions 12 Acknowledgments 13 A. One loop calculations 13 B. Self-consistent boson mas 14 C. Running BCS coupling 14 References 15

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Section: B Bcs Interactions and Superconductivitysupporting

confidence: 76%

Section: A Quantum and Thermal Dynamicsmentioning

confidence: 81%

Section: B Bcs Interactions and Superconductivitymentioning

confidence: 94%

Section: The Fermion Self-energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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How non-Fermi liquids cure their infrared divergences

2020

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Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations

et al. 2022

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The origin of the pseudogap behavior, found in many high-Tc superconductors, remains one of the greatest puzzles in condensed matter physics. One possible mechanism is fermionic incoherence, which near a quantum critical point allows pair formation but suppresses superconductivity. Employing quantum Monte Carlo simulations of a model of itinerant fermions coupled to ferromagnetic spin fluctuations, represented by a quantum rotor, we report numerical evidence of pseudogap behavior, emerging from pairing fluctuations in a quantum-critical non-Fermi liquid. Specifically, we observe enhanced pairing fluctuations and a partial gap opening in the fermionic spectrum. However, the system remains non-superconducting until reaching a much lower temperature. In the pseudogap regime the system displays a “gap-filling" rather than “gap-closing" behavior, similar to the one observed in cuprate superconductors. Our results present direct evidence of the pseudogap state, driven by superconducting fluctuations.

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Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal via scalable Hybrid Monte Carlo

2023

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A key component of the phase diagram of many iron-based superconductors and electron-doped cuprates is believed to be a quantum critical point (QCP), delineating the onset of antiferromagnetic spin-density wave order in a quasi-two-dimensional metal. The universality class of this QCP is believed to play a fundamental role in the description of the proximate non-Fermi liquid behavior and superconducting phase. A minimal model for this transition is the O(3) spin-fermion model. Despite many efforts, a definitive characterization of its universal properties is still lacking. Here, we numerically study the O(3) spin-fermion model and extract the scaling exponents and functional form of the static and zero-momentum dynamical spin susceptibility. We do this using a Hybrid Monte Carlo (HMC) algorithm with a novel auto-tuning procedure, which allows us to study unprecedentedly large systems of 80 × 80 sites. We find a strong violation of the Hertz-Millis form, contrary to all previous numerical results. Furthermore, the form that we do observe provides good evidence that the universal scaling is actually governed by the analytically tractable fixed point discovered near perfect “hot-spot’" nesting, even for a larger nesting window. Our predictions can be directly tested with neutron scattering. Additionally, the HMC method we introduce is generic and can be used to study other fermionic models of quantum criticality, where there is a strong need to simulate large systems.

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Normal State Properties of Quantum Critical Metals at Finite Temperature

Cited by 44 publications

References 56 publications

How non-Fermi liquids cure their infrared divergences

How non-Fermi liquids cure their infrared divergences

Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations

Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal via scalable Hybrid Monte Carlo

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