Thermodynamic phase diagram of the competition between superconductivity and charge order in cuprates

Abstract

We argue that there is a special doping point in the phase diagram of cuprates, such that the condensation of holes into a charge-ordered and into a superconducting phase are degenerate in energy but with an energy barrier in between. We present a Monte Carlo simulation of this problem without and with quenched disorder. While in the clean case charge order and superconductivity are separated by a first-order line which is nearly independent of temperature, in the presence of quenched disorder, charge order is fragmented into domains separated by superconducting filaments reminiscent of the supersolid behavior in ${}^4$He. The resulting phase diagram is in good agreement with the experiments.

32 pages, 18 figures, Submitted to SciPost Physics

References in corpus (10)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Supercooled Liquids for Pedestrians
• Condensation, excitation, pairing, and superfluid density in high-$T_c$ superconductors: magnetic resonance mode as a roton analogue and a possible spin-mediated pairing
• Instabilities near the onset of spin density wave order in metals
• Cuprate superconductors as viewed through a striped lens
• Two-stage magnetic-field-tuned superconductor-insulator transition in underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$
• The Binder Cumulant at the Kosterlitz-Thouless Transition
• Charge-Density Waves vs. Superconductivity: Some Results and Future Perspectives
• Search for supersolid 4He in neutron scattering experiments at ISIS
• Competition between Superconductivity and Charge Density Waves: the Role of Disorder

Cited by in corpus (1)

• Ordering kinetics and steady states of XY-model with ferromagnetic and nematic interaction