Self-Consistent Effective Hamiltonian Theory for Fermionic Many Body Systems

2019/10/26 by Xindong Wang, Hai‐Ping Cheng, Wang, Xindong +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Molecular Junctions and Nanostructures #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1910.12136

openalex publication_date 2019/10/26 · openalex created_date 2019/11/01 · openalex updated_date 2026/08/01

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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