Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis

Abstract

We present comparative analysis of superconducting and charge-density-wave orders in the spin-fluctuation scenario for the cuprates. That spin-fluctuation exchange gives rise to d-wave superconductivity is well known. Several groups recently argued that the same spin-mediated interaction may also account for charge-density-wave order with momenta $(Q,0)$ or $(0,Q)$, detected in underdoped cuprates. This has been questioned on the basis that charge-density-wave channel mixes fermions from both nested and anti-nested regions on the Fermi surface, and fermions in the anti-nested region do not have a natural tendency to form a bound state, even if the interaction is attractive. We show that anti-nesting is not an obstacle for charge order, but to see this one needs to go beyond the conventional Eliashberg approximation. We show that in the prefect nesting/antinesting case, when the velocities of hot fermions are either parallel or antiparallel, the onset temperatures in superconducting and charge-density-wave channels are of comparable strength for any magnetic correlation length $\xi$. The superconducting $T_{\mathrm{sc}}$ is larger than $T_{\mathrm{cdw}}$, but only numerically. When the velocities of hot fermions are not strictly parallel/antiparallel, $T_{\mathrm{cdw}}$ progressively decreases as $\xi$ decreases and vanishes at some critical $\xi$.

9 pages, 4 figures; replaced with published version

References in corpus (20)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Are non-Fermi-liquids stable to Cooper pairing?
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Instabilities near the onset of spin density wave order in metals
• Bond order instabilities in a correlated two-dimensional metal
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Density-wave instabilities of fractionalized Fermi liquids
• Gap anisotropy and universal pairing scale in a spin fluctuation model for cuprates
• Emergent loop current order from pair density wave superconductivity
• Feedback of superconducting fluctuations on charge order in the underdoped cuprates
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Composite charge order in the pseudogap region of the cuprates
• Quantum criticality in two dimensions and Marginal Fermi Liquid

Cited by in corpus (1)

• Effective SU(2) theory for the pseudogap state