Cascade of phase transitions in the vicinity of a quantum critical point

Abstract

We study the timely issue of charge order checkerboard patterns observed in a variety of cuprate superconductors. We suggest a minimal model in which strong quantum fluctuations in the vicinity of a single antiferromagnetic quantum critical point generate the complexity seen in the phase diagram of cuprates superconductors and, in particular, the evidenced charge order. The Fermi surface is found to fractionalize into hotspots and antinodal regions, where physically different gaps are formed. In the phase diagram, this is reflected by three transition temperatures for the formation of pseudogap, charge density wave, and superconductivity (or quadrupole density wave if a sufficiently strong magnetic field is applied). The charge density wave is characterized by modulations along the bonds of the CuO lattice with wave vectors connecting points of the Fermi surface in the antinodal regions. These features, previously observed experimentally, are so far unique to the quantum critical point in two spatial dimensions and shed a new light on the interplay between strongly fluctuating critical modes and conduction electrons in high-temperature superconductors.

10 pages, 4 figures

References in corpus (14)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Quantum Criticality
• 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
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Gap anisotropy and universal pairing scale in a spin fluctuation model for cuprates
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• Lattice dynamical signature of charge density wave formation in underdoped YBa2Cu3O6+x

Cited by in corpus (73)

• Theory of Intertwined Orders in High Temperature Superconductors
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• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Quantum Oscillations in Hole-Doped Cuprates
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Monte Carlo Studies of Quantum Critical Metals
• Bond order instabilities in a correlated two-dimensional metal
• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
• Competing Orders in a Nearly Antiferromagnetic Metal
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Density-wave instabilities of fractionalized Fermi liquids
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Direct observation of charge order in underdoped and optimally doped Bi${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ by resonant inelastic x-ray scattering
• Intermediate Coupling Model of the Cuprates
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Feedback of superconducting fluctuations on charge order in the underdoped cuprates
• Orbital symmetry of charge density wave order in La1.875Ba0.125CuO4 and YBa2Cu3O6.67
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Charge-fluctuations in lightly hole-doped cuprates: effect of vertex corrections
• Composite charge order in the pseudogap region of the cuprates
• Effective SU(2) theory for the pseudogap state
• Pairing in quantum-critical systems: $T_c$, $\Delta$, and their ratio
• Emergence of a control parameter for the antiferromagnetic quantum critical metal
• On infrared pseudogap in cuprate and pnictide high-temperature superconductors
• Charge ordering in three-band models of the cuprates
• The enigma of the pseudogap phase of the cuprate superconductors
• Is charge order induced near an antiferromagnetic quantum critical point?
• Polar Kerr effect from chiral-nematic charge order
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Incorporation of charge- and pair-density-wave states into the one-band model of d-wave superconductivity
• Dynamics of Order Parameters near Stationary States in Superconductors with a Charge-Density Wave
• Vortices and charge order in high-T_c superconductors
• Close inspection of plasmon excitations in cuprate superconductors
• Charge modulation as fingerprints of phase-string triggered interference
• Self-energy effects in functional renormalization group flows of the two-dimensional $t$-$t^{\prime }$ Hubbard model away from van Hove filling
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• Dual structure in the charge excitation spectrum of electron-doped cuprates
• Unconventional high-energy-state contribution to the Cooper pairing in under-doped copper-oxide superconductor HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
• The phase diagram of the underdoped cuprates at high magnetic field
• Superconductivity out of a non-Fermi liquid. Free energy analysis
• $d$-wave bond-order charge excitations in electron-doped cuprates
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Angle Resolved Photo-Emission Spectroscopy signature of the Resonant Excitonic State
• Hidden Order as a Source of Interface Superconductivity
• Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory
• Topological Defects in Systems with Two Competing Order Parameters: Application to Superconductors with Charge- and Spin-Density Waves
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Electron self-energy from quantum charge fluctuations in the layered t-J model with long-range Coulomb interaction
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Doping dependence of d-wave bond-charge excitations in electron-doped cuprates
• Theory of charge dynamics in bilayer electron system with long-range Coulomb interaction
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Effective spin-fermion model for strongly correlated electrons
• Renormalization Group Analysis of a Fermionic Hot Spot Model
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• Incipient loop current order in the under-doped cuprate superconductors
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Overlapping hot spots and charge modulation in cuprates
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Fluctuating charge order in the cuprates: spatial anisotropy and feedback from superconductivity
• Strongly correlated model of acousticlike plasmons persisting across the phase diagram of cuprate superconductors
• Theoretical perspectives on charge dynamics in high-temperature cuprate superconductors