From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)

Abstract

In this supporting material for the main paper (the preceding submission), we show, in addition to the related information for the experiments, additional discussion that cannot fit in the main paper (due to the space constraint). It includes further discussion about our experimental observations, wider implications of our main findings with various reported candidates for the pseudogap order, and a simple mean-field argument that favors interpretations based on a finite-Q order (density wave) for the pseudogap seen by ARPES (whether "the pseudogap order" is a single order or contains multiple ingredients, is an independent, open issue). We also include a detailed simulation section, in which we model different candidates (various density wave/nematic order) for the pseudogap order in simple forms using a mean-field approach, and discuss their partial success as well as limitations in describing the experimental observations. These simulations are based on a tight-binding model with parameters fitted globally (and reasonably well) to the experimental band dispersions (by tracking the maximum of the energy distribution curve), which could be useful for further theoretical explorations on this issue.

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Cited by in corpus (94)

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• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Point nodes persisting far beyond Tc in Bi2212
• Pseudogap, Superconducting Gap, and Fermi Arc in High-Tc Cuprates Revealed by Angle-Resolved Photoemission Spectroscopy
• Kerr effect as evidence of gyrotropic order in the cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Infrared Measurement of the Pseudogap in P-Doped and Co-Doped BaFe2As2 High-Temperature 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
• Emergent loop current order from pair density wave superconductivity
• Magneto-optical signatures of a cascade of transitions in La${}_2-x$Ba${}_x$CuO${}_4$
• Time- and Momentum-resolved Gap Dynamics in Bi2Sr2CaCu2O8+delta
• Tunable band topology and optical conductivity in altermagnets
• Pre-pairing and the "Filling" Gap in the Cuprates From the Tomographic Density of States
• Photo-enhanced antinodal conductivity in the pseudogap state of high Tc cuprates
• Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
• Checkerboard order in vortex cores from pair-density-wave superconductivity
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• Ultrafast carrier localisation in the pseudogap state of cuprate superconductors from coherent quench experiments
• Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
• Two Ising-like magnetic excitations in a single-layer cuprate superconductor
• Composite charge order in the pseudogap region of the cuprates
• On infrared pseudogap in cuprate and pnictide high-temperature superconductors
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• Quasi One Dimensional Pair Density Wave Superconducting State
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Particle-hole asymmetric superconducting coherence peaks in overdoped cuprates
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• Disparity of superconducting and pseudogap scales in low-Tc Bi-2201 cuprates
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• Theory of the Fermi Arcs, the Pseudogap, $T_c$ and the Anisotropy in k-space of Cuprate Superconductors
• Particle-hole Asymmetry in the Cuprate Pseudogap Measured with Time-Resolved Spectroscopy
• Phase fluctuations in two-dimensional superconductors and pseudogap phenomenon
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Fermi and Luttinger arcs: two concepts, realized on one surface
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Persistent electrical doping of Bi2Sr2CaCu2O8+x mesa structures
• Specific Heat and Sound Velocity Distinguish the Relevant Competing Phase in the Pseudogap Region of High Temperature Superconductors
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• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
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• Nanoscale phase separation in deep underdoped Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ and Ca${}_2$CuO${}_2$Cl${}_2$
• Signatures of a momentum independent pseudogap in the electronic density of states and Raman spectroscopy of the underdoped cuprates
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• Coexistence of magnetic and charge order in a two-component order parameter description of the layered superconductors
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• Hallmarks of the Mott-Metal Crossover in the Hole Doped J=1/2 Mott insulator Sr2IrO4
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• Pseudogap Suppression by Competition with Superconductivity in La-Based Cuprates
• A short review of the recent progresses in the study of the cuprate superconductivity
• The Future of the Correlated Electron Problem
• Fractionalized Fermi liquids and the cuprate phase diagram
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• Probing a Bose Metal via Electrons: Inescapable non-Fermi liquid scattering and pseudogap physics
• Conservation of the particle-hole symmetry in the pseudogap state in optimally-doped Bi2Sr2CuO6+δ superconductor
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• A Theoretical Study of Doping Evolution of Phonons in High-Temperature Cuprate Superconductors
• Pseudogap and its connection to particle-hole asymmetry electronic state and Fermi arcs in cuprate superconductors
• The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity
• Pseudogap in cuprates driven by d-wave flux-phase order proximity effects: A theoretical analysis from Raman and ARPES experiments
• Emergent Pair Density Wave Order Across a Lifshitz Transition
• Effect of the Fermi surface reconstruction on the self-energy of the copper-oxide superconductors
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• Raman Response of the Charge Density Wave in Cuprate Superconductors
• Atomic-Scale Visualization of the Cuprate Pair Density Wave State
• Estimation of Energy-dissipation Lower-bounds for Neuromorphic Learning-in-memory
• Yamaji effect in models of underdoped cuprates
• Search for $Q\sim 0$ order near a forbidden Bragg position in Bi${}_{2.1}$Sr${}_{1.9}$CaCu${}_2$O${}_{8+x}$ with resonant soft x-ray scattering
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity
• The Itinerancy and Interactions of the Linear Strings of Holes in Copper Oxide Superconductors
• Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity