Self-Consistent Effective Hamiltonian Theory for Fermionic Many Body Systems
arXiv (Cornell University)(2019)
Abstract
Using a separable many-body variational wavefunction, we formulate a self-consistent effective Hamiltonian theory for fermionic many-body system. The theory is applied to the two-dimensional Hubbard model as an example to demonstrate its capability and computational effectiveness. Most remarkably for the Hubbard model in 2-d, a highly unconventional quadruple-fermion non-Cooper-pair order parameter is discovered.
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Key words
Many-body fermions,variational wavefunction,effective Hamiltonian
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