Paired electron pockets in the hole-doped cuprates

Abstract

We propose a theory for the underdoped hole-doped cuprates, focusing on the "nodal-anti-nodal dichotomy" observed in recent experiments. Our theory begins with an ordered antiferromagnetic Fermi liquid with electron and hole pockets. We argue that it is useful to consider a quantum transition at which the loss of antiferromagnetic order leads to a hypothetical metallic "algebraic charge liquid" (ACL) with pockets of charge -e and +e fermions, and an emergent U(1) gauge field; the instabilities of the ACL lead to the low temperature phases of the underdoped cuprates. The pairing instability leads to a superconductor with the strongest pairing within the -e Fermi pockets, a d-wave pairing signature for electrons, and very weak nodal-point pairing of the +e fermions near the Brillouin zone diagonals. The influence of an applied magnetic field is discussed using a proposed phase diagram as a function of field strength and doping. We describe the influence of gauge field and pairing fluctuations on the quantum Shubnikov-de Haas oscillations in the normal states induced by the field. For the finite temperature pseudogap region, our theory has some similarities to the phenomenological two-fluid model of -2e bosons and +e fermions proposed by Geshkenbein, Ioffe, and Larkin [cond-mat/9609209], which describes anomalous aspects of transverse transport in a magnetic field.

38 pages, 5 figures; (v3) added refs and shortened Section IV; (v4) added phase diagrams

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Cited by in corpus (32)

• Lectures on holographic methods for condensed matter physics
• Superconductor-Insulator transition and energy localization
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Where is the quantum critical point in the cuprate superconductors?
• Fluctuating spin density waves in metals
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Fermi surfaces and gauge-gravity duality
• Compensated electron and hole pockets in an underdoped high Tc superconductor
• A synthesis of the phenomenology of the underdoped cuprates
• Single reconstructed Fermi surface pocket in an underdoped single layer cuprate superconductor
• Pseudogap in underdoped cuprates and spin-density-wave fluctuations
• Quantum oscillations from Fermi arcs
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Nernst effect in the electron-doped cuprates
• Quantum criticality and the phase diagram of the cuprates
• Quantum phase transitions of antiferromagnets and the cuprate superconductors
• Superconducting phase diagram of itinerant antiferromagnets
• BCS Superconductivity in Quantum Critical Metals
• Non-perturbative Quantum Dynamics of the Order Parameter in the Pairing Model
• Modeling a striped pseudogap state
• A gauge approach to the "pseudogap" phenomenology of the spectral weight in high Tc cuprates
• Gutzwiller-projected wave functions for the pseudogap state of underdoped high-temperature superconductors
• Notes on Quantum oscillation for Hatsugai-Kohmoto model
• The Hubbard model in strong magnetic field: Low-frequency quantum oscillations due to strong electron correlations
• de Haas-van Alphen oscillations for non-relativistic fermions coupled to an emergent U(1) gauge field
• Magnetic quantum oscillations and multiple holon pockets in underdoped YBa${}_2$Cu${}_3$O${}_{6+y}$
• Strongly correlated electron system in the magnetic field
• Extended dual description of Mott transition beyond two-dimensional space
• Low-frequency magnetic oscillations induced by strongly electron correlations
• Nonequilibrium probe of paired electron pockets in the underdoped cuprates
• Non-linear Hall resistivity in overdoped Pr${}_{1.82}$Ce${}_{0.18}$CuO${}_{4+\delta }$ electron-doped cuprate