Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal

Abstract

Doping a Mott-insulating ${\mathbb{Z}}_2$ spin liquid can lead to a fractionalized Fermi liquid (FL*). Such a phase has several favorable features that make it a candidate for the pseudogap metal for the underdoped cuprates. We focus on a particular, simple ${\mathbb{Z}}_2$-FL* state which can undergo a confinement transition to a spatially uniform superconductor which is smoothly connected to the `plain vanilla' BCS superconductor with $d$-wave pairing. Such a transition occurs by the condensation of bosonic particles carrying $+e$ charge but no spin (`chargons'). We show that modifying the dispersion of the bosonic chargons can lead to confinement transitions with charge density waves and pair density waves at the same wave-vector $\mathbf{K}$, co-existing with $d$-wave superconductivity. We also compute the evolution of the Hall number in the normal state during the transition from the plain vanilla FL* state to a Fermi liquid, and argue, following Coleman, Marston, and Schofield [Phys. Rev. B 72, 245111 (2005)], that it exhibits a discontinuous jump near optimal doping. We note the distinction between these results and those obtained from models of the pseudogap with fermionic chargons.

25 + 5 pages, 7 figures, 1 table; (v2) 25 + 6 pages, 7 figures, 1 table, added clarifications and discussion on stability of phases

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• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Fluctuating spin density waves in metals
• Density-wave instabilities of fractionalized Fermi liquids
• Transport anomalies in a simplified model for a heavy electron quantum critical point
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Feedback of superconducting fluctuations on charge order in the underdoped cuprates
• Destruction of Neel order in the cuprates by electron-doping
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Higgs criticality in a two-dimensional metal

Cited by in corpus (20)

• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Hall effect in cuprates with incommensurate spin-density wave
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard 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
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Carrier density crossover and quasiparticle mass enhancement in a doped 5$d$ Mott insulator
• 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
• Yamaji effect and quantum oscillation in Yang-Rice-Zhang model of underdoped cuprates
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity
• Electrical Conductivity in Quantum Materials