Antagonistic in-plane resistivity anisotropies from competing fluctuations in underdoped cuprates

Abstract

One of the prime manifestations of an anisotropic electronic state in underdoped cuprates is the in-plane resistivity anisotropy $\Delta \rho \equiv ({\rho }_a-{\rho }_b)/{\rho }_b$. Here we use a Boltzmann-equation approach to compute the contribution to $\Delta \rho$ arising from scattering by anisotropic charge and spin fluctuations, which have been recently observed experimentally. While the anisotropy in the charge fluctuations is manifested in the correlation length, the anisotropy in the spin fluctuations emerges only in the structure factor. As a result, we find that spin fluctuations favor $\Delta \rho >0$, whereas charge fluctuations promote $\Delta \rho <0$, which are both consistent with the doping dependence of $\Delta \rho$ observed in YBa${}_2$Cu${}_3$O${}_7$. We also discuss the role played by CuO chains in these materials, and propose transport experiments in strained HgBa${}_2$CuO${}_4$ and Nd${}_2$CuO${}_4$ to probe directly the different resistivity anisotropy regimes.

5 pages + Supplementary Material

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Cited by in corpus (10)

• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Origin of the Resistivity Anisotropy in the Nematic Phase of FeSe
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Two types of nematicity in the phase diagram of the cuprate superconductor YBa${}_2$Cu${}_3$O${}_y$
• Nematicity in the pseudogap state of cuprate superconductors revealed by angle-resolved photoemission spectroscopy
• Magnetostriction and magneto-structural domains in antiferromagnetic YBa${}_2$Cu${}_3$O${}_6$
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• Unconventional electronic order in a codoped high-Tc superconductor
• Origin of the DC and AC conductivity anisotropy in iron-based superconductors: scattering rate versus spectral weight effects
• Smeared nematic quantum phase transitions due to rare-region effects in inhomogeneous systems