Is charge order induced near an antiferromagnetic quantum critical point?

Abstract

We investigate the interplay between charge order and superconductivity near an antiferromagnetic quantum critical point using sign-problem-free Quantum Monte Carlo simulations. We establish that, when the electronic dispersion is particle-hole symmetric, the system has an emergent SU(2) symmetry that implies a degeneracy between $d$-wave superconductivity and charge order with $d$-wave form factor. Deviations from particle-hole symmetry, however, rapidly lift this degeneracy, despite the fact that the SU(2) symmetry is preserved at low energies. As a result, we find a strong suppression of charge order caused by the competing, leading superconducting instability. Across the antiferromagnetic phase transition, we also observe a shift in the charge order wave-vector from diagonal to axial. We discuss the implications of our results to the universal phase diagram of antiferromagnetic quantum-critical metals and to the elucidation of the charge order experimentally observed in the cuprates.

5 pages main text + 3 pages supplementary

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Cited by in corpus (21)

• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Intimate link between Charge Density Wave, Pseudogap and Superconducting Energy Scales in Cuprates
• Monte Carlo Studies of Quantum Critical Metals
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• Fermi-surface reconstruction without symmetry breaking
• Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study
• Electronic and phononic properties of a two dimensional electron gas coupled to dipolar phonons via small-momentum-transfer scattering
• Non-Hertz-Millis scaling of the antiferromagnetic quantum critical metal via scalable Hybrid Monte Carlo
• Specific Heat of a Quantum Critical Metal
• Optical Enhancement of Superconductivity via Targeted Destruction of Charge Density Waves
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Adiabatic variation of the charge-density-wave phase diagram in the 123 cuprate (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• Space of non-Fermi liquids
• Crossover from charge density wave stabilized antiferromagnetism to superconductivity in Nd${}_{1-x}$La${}_x$NiC${}_2$ compounds
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Magnetic phase transition in disordered interacting Dirac fermion systems via the Zeeman field
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals