Electronic spectra with paramagnon fractionalization in the single band Hubbard model

Abstract

We examine the spectral properties of a recently proposed theory of the intermediate temperature pseudogap metal phase of the cuprates. We show that this theory can be obtained from the familiar paramagnon theory of nearly antiferromagnetic metals by fractionalizing the paramagnon into two `hidden' layers of S=1/2 spins. The first hidden layer of spins hybridizes with the electrons as in a Kondo lattice heavy Fermi liquid, while the second hidden layer of spins forms a spin liquid with fractionalized spinon excitations. We compute the imaginary part of the electronic self energy induced by the spinon excitations. The energy and momentum dependence of the photoemission spectrum across the Brillouin zone provides a good match to observations by He et al. in Bi2201 (Science 331, 1579 (2011)) and by Chen et al. in Bi2212 (Science 366, 1099 (2019)).

33 pages, 15 figures; v3 Added acknowledgement to Moore Foundation

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• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Observation of the Yamaji effect in a cuprate superconductor
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Vortex structure in a $d$-wave superconductor obtained by a confinement transition from the pseudogap metal
• Fractionalized Fermi liquids and the cuprate phase diagram
• Yamaji effect in models of underdoped cuprates
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order