Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions

Abstract

We study thermal and electrical transport in metals and superconductors near a quantum phase transition where antiferromagnetic order disappears. The same theory can also be applied to quantum phase transitions involving the loss of certain classes of intrinsic topological order. For a clean superconductor, we recover and extend the well-known universal results. The heat conductivity for commensurate and incommensurate antiferromagnetism coexisting with superconductivity shows a markedly different doping dependence near the quantum critical point, thus allowing to distinguish the states. In the dirty limit, the results for the conductivities are qualitatively similar for the metal and the superconductor. In this regime, the geometric properties of the Fermi surface allow for a very good phenomenological understanding of the numerical results on the conductivities. In the simplest model, we find that the conductivities do not track the doping evolution of the Hall coefficient, in contrast to recent experimental findings. We propose a doping dependent scattering rate, possibly due to quenched short-range charge fluctuations below optimal doping, to consistently describe both the Hall data and the longitudinal conductivities.

37 + 12 pages, 15 figures; (v2) Added a summary section, updated references; (v3) Minor typos corrected

References in corpus (16)

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• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• A Phenomenological Theory of The Pseudogap State
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
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• Density-wave instabilities of fractionalized Fermi liquids
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Vestigial nematicity from spin and/or charge order in the cuprates
• Onset of a boson mode at superconducting critical point of underdoped YBa2Cu3Oy
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Theory of Resistivity Upturns in Metallic Cuprates
• Insulators and metals with topological order and discrete symmetry breaking
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• Low temperature quasiparticle transport in a d-wave superconductor with coexisting charge order
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates

Cited by in corpus (22)

• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Intertwining topological order and broken symmetry in a theory of fluctuating spin density waves
• Fermi Surface reconstruction and anomalous low temperature resistivity in electron-doped La2-xCexCuO4
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Longitudinal conductivity and Hall coefficient in two-dimensional metals with spiral magnetic order
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Insulators and metals with topological order and discrete symmetry breaking
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• Anomalous thermodynamic properties of quantum critical superconductors
• Spiral to stripe transition in the two-dimensional Hubbard model
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Incipient loop current order in the under-doped cuprate superconductors
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates
• The Future of the Correlated Electron Problem
• Thermal Transport in Superconductors with coexisting Spin Density Wave Order
• Magnetotransport in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: a Fermi liquid approach
• Anisotropic Thermal Transport in Superconductors with Coexisting Spin Density Waves
• Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order
• Electrical Conductivity in Quantum Materials