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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• Fractionalized Fermi liquids
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• Density-wave instabilities of fractionalized Fermi liquids
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• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
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• Higgs criticality in a two-dimensional metal

Cited by in corpus (5)

• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Hall effect in cuprates with incommensurate spin-density wave
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity