Fragility of Charge Order Near an Antiferromagnetic Quantum Critical Point

Xiaoyu Wang, Yuxuan Wang, Yoni Schattner, Erez Berg, Rafael M. Fernandes

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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.

Original languageEnglish
Article number247002
Number of pages6
JournalPhysical review letters
Issue number24
StatePublished - 15 Jun 2018
Externally publishedYes


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