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Fractionalized Fermi liquids
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In spatial dimensions d >= 2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, non-magnetic state (FL*) with a Fermi surface of sharp electron-like quasiparticles, enclosing a volume quantized by (\rho_a-1)(mod 2), with \rho_a the mean number of all electrons per unit cell of the ground state. Such states have fractionalized excitations linked to the deconfined phase of a gauge theory. Confinement leads to a conventional Fermi liquid state, with a Fermi volume quantized by \rho_a (mod 2), and an intermediate superconducting state for the Z_2 gauge case. The FL* state permits a second order metamagnetic transition in an applied magnetic field.
Forward citations
Cited by 5 Pith papers
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Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study
Quantum Monte Carlo study with partons finds evidence for a continuous second-order deconfined transition where both Néel and d-wave orders vanish simultaneously.
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Thermal SU(2) lattice gauge theory for intertwined orders and hole pockets in the cuprates
Monte Carlo study of thermal SU(2) gauge theory with Higgs boson reconciles Fermi arcs and p/8 hole pockets while describing intertwined orders and d-wave superconductivity at lower temperatures.
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Lectures on insulating and conducting quantum spin liquids
The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.
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Fractionalized Fermi liquids and the cuprate phase diagram
Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.
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The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
The paper attributes the cuprate 'foot' to a disordered spin-density-wave transition and the 'fan' to a disorder-tuned FL-to-FL* Fermi-volume-changing transition described by a two-dimensional Yukawa-SYK model.
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