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.
Topological order in the pseudogap metal
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abstract
We compute the electronic Green's function of the topologically ordered Higgs phase of a SU(2) gauge theory of fluctuating antiferromagnetism on the square lattice. The results are compared with cluster extensions of dynamical mean field theory, and quantum Monte Carlo calculations, on the pseudogap phase of the strongly interacting hole-doped Hubbard model. Good agreement is found in the momentum, frequency, hopping, and doping dependencies of the spectral function and electronic self-energy. We show that lines of (approximate) zeros of the zero-frequency electronic Green's function are signs of the underlying topological order of the gauge theory, and describe how these lines of zeros appear in our theory of the Hubbard model. We also derive a modified, non-perturbative version of the Luttinger theorem that holds in the Higgs phase.
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cond-mat.str-el 2years
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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.
citing papers explorer
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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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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.