Instabilities near the onset of spin density wave order in metals

Abstract

We discuss the low energy theory of two-dimensional metals near the onset of spin density wave order. It is well known that such a metal has a superconducting instability induced by the formation of spin-singlet pairs of electrons, with the pairing amplitude changing sign between regions of the Fermi surface connected by the spin density wave ordering wavevector. Here we review recent arguments that there is an additional instability which is nearly as strong: towards the onset of a modulated bond order which is locally an Ising-nematic order. This new instability is a consequence of an emergent "pseudospin" symmetry of the low energy theory---the symmetry maps the sign-changing pairing amplitude to the bond order parameter.

14 pages, 9 figures; contribution to the special issue of the New Journal of Physics on "Fermiology of Cuprates", edited by Mike Norman and Cyril Proust

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Cited by in corpus (27)

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• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Incommensurate nematic fluctuations in the two-dimensional Hubbard model
• Normal state properties of quantum critical metals at finite temperature
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Non-Fermi liquid behavior at the onset of incommensurate 2k_F charge or spin density wave order in two dimensions
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Emergence of strongly correlated electronic states driven by the Andreev bound state in d-wave superconductors
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Prediction of pseudogap formation due to $d$-wave bond-order in organic superconductor $\kappa$-(BEDT-TTF)${}_2$X
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with two pairs of hot spots in two-dimensional metals
• Atomic-Scale Visualization of the Cuprate Pair Density Wave State
• Thermodynamic phase diagram of the competition between superconductivity and charge order in cuprates
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates
• Emergence of Fermi-liquid and BCS physics in overdoped cuprates