Charge orders, magnetism and pairings in the cuprate superconductors

Abstract

We review the recent developments in the field of cuprate superconductors with the special focus on the recently observed charge order in the underdoped compounds. We introduce new theoretical developments following the study of the antiferromagnetic (AF) quantum critical point (QCP) in two dimensions, in which preemptive orders in the charge and superconducting (SC) sectors emerged, that are in turn related by an SU(2) symmetry. We consider the implications of this proliferation of orders in the underdoped region, and provide a study of the type of fluctuations which characterize the SU(2) symmetry. We identify an intermediate energy scale where the SU(2) pairing fluctuations are dominant and argue that they are unstable towards the formation of a Resonant Peierls Excitonic (RPE) state at the pseudogap (PG) temperature $T^{\ast }$. We discuss the implications of this scenario for a few key experiments.

16 pages, 17 figures

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Cited by in corpus (24)

• The Hubbard model: A computational perspective
• Period 4 stripe in the extended two-dimensional Hubbard model
• Charge order at high temperature in cuprate superconductors
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Stabilization of three-dimensional charge order in YBa${}_2$Cu${}_3$O${}_{6+x}$ via epitaxial growth
• Effective SU(2) theory for the pseudogap state
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Large magnetic anisotropy in quasi one-dimensional spin-1/2 fluoride antiferromagnets with a d(z2)1 ground state
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• First-Order Reversal Curves of the Magnetostructural Phase Transition in FeTe
• Fractionalizing a local pair density wave: a good "recipe" for opening a pseudo-gap
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Collective mode in the SU(2) theory of cuprates
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Incipient loop current order in the under-doped cuprate superconductors
• Thermal and thermoelectric transport coefficients for a two-dimensional SDW metal with weak disorder: A memory matrix calculation
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Coincident onset of charge order and pseudogap in a homogeneous high-temperature superconductor
• Phonon Spectra in the Parent Superconducting Iron-tuned Telluride Fe${}_{1+x}$Te from Inelastic Neutron Scattering and Ab Initio Calculations
• Local properties of the t-J model in a two-pole approximation within COM
• Exact analysis of the interplay of charge order and unconventional pairings in the 2D Hatsugai-Kohmoto model