期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 115, 期 16, 页码 E3665-E3672出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1720580115
关键词
pseudogap; topological order; Hubbard model; high-temperature superconductors
资金
- National Science Foundation [DMR-1664842]
- Simons Foundation Many-Electron Collaboration
- European Research Council [ERC-319286]
- Swiss National Supercomputing Center (CSCS) [s575]
- Multidisciplinary University Research Initiative Grant from the Army Research Office [W911NF-14-1-0003]
- German National Academy of Sciences Leopoldina [LPDS 2016-12]
- Cenovus Energy at Perimeter Institute
- Hanna Visiting Professor program at Stanford University
- Simons Foundation
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
We compute the electronic Green's function of the topologically ordered Higgs phase of a SU(2) gauge theory of fluctuating anti-ferromagnetism 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.
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