Pseudogap state from quantum criticality

Abstract

Upon application of an external tuning parameter, a magnetic state can be driven to a normal metal state at zero temperature. This phenomenon is known as quantum criticality and leads to fascinating responses in thermodynamics and transport of the compound. In the standard picture, a single quantum critical point occurs at zero temperature, which results in a nontrivial critical behaviour in its vicinity. Here we show that in two dimensions the scenario is considerably more complex due to the enormous amount of quantum fluctuations. Instead of the single point separating the antiferromagnet from the normal metal, we have discovered a broad region between these two phases where the magnetic order is destroyed but certain areas of the Fermi surface are closed by a large gap. This gap reflects the formation of a novel quantum state characterised by a superposition of d-wave superconductivity and a quadrupole-density wave, id est a state in which an electron quadrupole density spatially oscillates with a period drastically different from the one of the original spin-density wave. At moderate temperatures both orders co-exist at short distances but thermal fluctuations destroy the long-range order. Below a critical temperature the fluctuations are less essential and superconductivity becomes stable. This new phenomenon may shed some light on the origin of the mysterious pseudogap state and of the high-temperature transition into the superconducting state in cuprates. Our results demonstrate that quantum phase transitions between antiferromagnets and normal metals in layered materials may be the proper playground for search of new high temperature superconductors.

comparison with experiments added, 8 pages + 30 pages of supplementary material, 10 figures

References in corpus (12)

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• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Thermodynamic phase diagram of static charge order in underdoped YBCO
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
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Cited by in corpus (224)

• Theory of Intertwined Orders in High Temperature Superconductors
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• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
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• Ising nematic quantum critical point in a metal: a Monte Carlo study
• Quantum Oscillations in Hole-Doped Cuprates
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• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Intimate link between Charge Density Wave, Pseudogap and Superconducting Energy Scales in Cuprates
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• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
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• Intermediate Coupling Model of the Cuprates
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• The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
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• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
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• Impurity induced phase competition and supersolidity
• Intertwined Magnetism and Superconductivity in Isolated Correlated Flat Bands
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• Oxygen on-site Coulomb energy in Pr${}_{1.3-x}$La${}_{0.7}$Ce${}_x$CuO${}_4$ and Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and its relation with Heisenberg exchange
• Evidence for Intra-Unit-Cell magnetic order in the pseudo-gap state of high-Tc cuprates
• A Theoretical Study of Doping Evolution of Phonons in High-Temperature Cuprate Superconductors
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• Josephsonic diagnostic of competing orders in quantum critical multiband superconductors
• Temperature vs. doping phase diagram of cuprate superconductors
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Electronic spin-triplet nematic with a twist
• Emergent channel over a pair of pockets in strong density waves
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• Atomic-Scale Visualization of the Cuprate Pair Density Wave State
• Antiferromagnetic phase diagram of the cuprate superconductors
• Thermodynamic phase diagram of the competition between superconductivity and charge order in cuprates
• Raman Response of the Charge Density Wave in Cuprate Superconductors
• Negative energy antiferromagnetic instantons forming Cooper-pairing "glue" and "hidden order" in high-Tc cuprates
• Resonant X-Ray Scattering Investigations of Charge Density Wave and Nematic Orders in Cuprate Superconductors
• Collective excitations and stability of a non-Fermi liquid state near a quantum-critical point of a metal
• Phases of holographic d-wave superconductor
• Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates
• Symmetry classification of bond order parameters in cuprates