Wiedemann-Franz law in the underdoped cuprate superconductor YBa2Cu3Oy

Abstract

The recent detection of charge-density modulations in YBa2Cu3Oy and other cuprate superconductors raises new questions about the normal state of underdoped cuprates. In one class of theories, the modulations are intertwined with pairing in a dual state, expected to persist up to high magnetic fields as a vortex liquid. In support of such a state, specific heat and magnetisation data on YBa2Cu3Oy have been interpreted in terms of a vortex liquid persisting above the vortex-melting field Hvs at T = 0. Here we report high-field measurements of the electrical and thermal Hall conductivities in YBa2Cu3O6.54 that allow us to probe the Wiedemann-Franz law, a sensitive test of the presence of superconductivity in a metal. In the T = 0 limit, we find that the law is satisfied for fields immediately above Hvs. This rules out the existence of a vortex liquid and it places strict constraints on the nature of the normal state in underdoped cuprates.

8 pages, includes main text and supplementary information

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Cited by in corpus (30)

• The remarkable underlying ground states of cuprate superconductors
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Phonons become chiral in the pseudogap phase of cuprates
• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• Unusual interplay between superconductivity and field-induced charge order in YBa2Cu3Oy
• Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa_2Cu_4O_8
• Spin susceptibility of charge ordered YBa2Cu3Oy across the upper critical field
• Fermi Surface Reconstruction and Quantum Oscillations in Underdoped YBa${}_2$Cu${}_3$O${}_{7-x}$ Modeled in a Single Bilayer with Mirror Symmetry Broken by Charge Density Waves
• Vortex phase diagram and the normal state of cuprates with charge and spin orders
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Transport signatures of the pseudogap critical point in the cuprate superconductor Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• Thermal Hall conductivity of electron-doped cuprates
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• The Wiedemann-Franz law in doped Mott insulators without quasiparticles
• Observation of electronic bound states in charge-ordered YBa${}_2$Cu${}_3$O${}_y$
• Magnetic field reveals vanishing Hall response in the normal state of stripe-ordered cuprates
• A Criterion for Strange Metallicity in the Lorenz Ratio
• Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high-$T_{\mathrm{c}}$ superconductors
• Multiband thermal transport in the iron-based superconductor Ba1 xKxFe2As2
• Planar thermal Hall effect from phonons in cuprates
• The High Temperature Superconductivity in Cuprates: Physics of the Pseudogap Region
• Role of magnetic ions in the thermal Hall effect of the paramagnetic insulator TmVO${}_4$
• Die Hard Holographic Phenomenology of Cuprates
• Incoherent transport in a model for the strange metal phase: Memory-matrix formalism
• Bond particle theory for the pseudogap phase of underdoped cuprates
• Fermi Surface Reconstruction in Underdoped Cuprates: The Origin of Electron Pockets
• Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
• Sample Shape and Boundary Dependence of Measured Transverse Thermal Properties
• Thermal Hall conductivity in the strongest cuprate superconductor: Estimate of the mean free path in the trilayer cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity