Universal theory of strange metals from spatially random interactions

Abstract

We consider two-dimensional metals of fermions coupled to quantum critical scalars, the latter representing order parameters or emergent gauge fields. We show that at low temperatures ($T$), such metals generically exhibit strange metal behavior with a $T$-linear resistivity arising from spatially random fluctuations in the fermion-scalar Yukawa couplings about a non-zero spatial average. We also find a $T\ln (1/T)$ specific heat, and a rationale for the Planckian bound on the transport scattering time. These results are obtained in the large $N$ expansion of an ensemble of critical metals.

7 pages (including references), 1 figure, and a 11 page supplement; (v3) Analysis of cases without spatially random interactions in the supplement has been removed to improve readability, and now appears in arXiv:2207.08841; Summary poster at http://qpt.physics.harvard.edu/talks/aptos22.pdf; To be published in Science

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Cited by in corpus (69)

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• Quantum Batteries: A Materials Science Perspective
• Theory of shot noise in strange metals
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• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Quantum-Acoustical Drude Peak Shift
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Quantum acoustics unravels Planckian resistivity
• A Criterion for Strange Metallicity in the Lorenz Ratio
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• Disordered quantum critical fixed points from holography
• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
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• Fluctuation Spectrum of Critical Fermi Surfaces
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Scale-dependent theory of the disordered electron liquid
• Space of non-Fermi liquids
• Exact numerical solution of the fully-connected classical and quantum Heisenberg spin glass
• Extended strange metal regime from superconducting puddles
• Suppression of Shot Noise in a Dirty Marginal Fermi Liquid
• The Lorenz ratio as a guide to scattering contributions to Planckian transport
• Correlation between unconventional superconductivity and strange metallicity revealed by operando superfluid density measurements
• Effective field theory for ersatz Fermi liquids
• Linear-T Resistivity from Spatially Random Vector Coupling
• Nanoscale structural correlations in a model cuprate superconductor
• Linear Magnetoresistance from Glassy Orders
• Marginal Fermi liquid at magnetic quantum criticality from dimensional confinement
• Deep learning-based holography for T-linear resistivity
• Beyond Drude transport in hydrodynamic metals
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
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• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Strange metal from spin fluctuations in a cuprate superconductor
• Role of many phonon modes on the high-temperature linear-in-$T$ electronic resistivity
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Hall Angle of a Spatially Random Vector Model
• Spin-stripe order tied to the pseudogap phase in La1.8-xEu0.2SrxCuO4
• An effective framework for strange metallic transport
• Strong non-linear response of strange metals
• Fermi Surface Bosonization for Non-Fermi Liquids
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• Superconductivity in Compositionally-Complex Cuprates with the YBa${}_2$Cu${}_3$O${}_{7-x}$ Structure
• Suppression of the charge fluctuations by nonlocal correlations close to the Mott transition
• Dynamic charge order from strong correlations in the cuprates
• Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
• Negative intercept of the apparent zero-temperature extrapolated linear-in-$T$ metallic resistivity
• Critical spin fluctuations across the superconducting dome in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Interaction corrections to the thermopower of the disordered two-dimensional electron gas
• Theory of Linear Magnetoresistance in a Strange Metal
• Shot noise in a phenomenological model of a marginal Fermi liquid
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Strange metal in the doped Hubbard model via percolation
• Upper bound on $T_c$ in a strongly coupled electron-boson superconductor
• Phonon Induced Energy Relaxation in Quantum Critical Metals
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model
• Strange metal and Fermi arcs from disordering spin stripes
• Emergence of Fermi-liquid and BCS physics in overdoped cuprates
• Marginal Fermi liquids from Fermi surfaces coupled via matrix boson gas
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Can electronic quantum criticality drive phonon-induced linear-in-temperature resistivity?
• Strange metal at the Lifshitz transition