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Topological order in the pseudogap metal.

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, nonperturbative version of the Luttinger theorem that holds in the Higgs phase.

SUBMITTER: Scheurer MS

PROVIDER: S-EPMC5910854 | biostudies-other | 2018 Apr

REPOSITORIES: biostudies-other

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Topological order in the pseudogap metal.

Scheurer Mathias S MS Chatterjee Shubhayu S Wu Wei W Ferrero Michel M Georges Antoine A Sachdev Subir S

Proceedings of the National Academy of Sciences of the United States of America 20180402 16

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. W ...[more]

PMID: 29610351

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