2005/08/31 by K. Park
Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Atomic orbital #Condensed matter physics #Ground state #Hamiltonian (control theory) #Heisenberg model #Iron-based superconductors research #Mathematics #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Valence bond theory #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.72.245116
published as Phys. Rev. B, Vol. 72, 245116 (2005) · 18 pages, 9 figures, the final version published in Phys. Rev. B
openalex publication_date 2005/12/29 · arxiv created 2006/01/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A connection between quantum antiferromagnetism and high Tc superconductivity is theoretically investigated by analyzing the t\text\ensuremath-J model and its relationships to the Gutzwiller-projected BCS Hamiltonian. After numerical corroboration via exact diagonalization, it is analytically shown that the ground state of the t\text\ensuremath-J model at half filling [i.e., the two-dimensional (2D) antiferromagnetic Heisenberg model] is entirely equivalent to the ground state of the Gutzwiller-projected BCS Hamiltonian with strong pairing. Combined with the high wave function overlap between the ground states of the t\text\ensuremath-J model and the projected BCS Hamiltonian at moderate doping, this equivalence provides strong support for the existence of superconductivity in the t\text\ensuremath-J model. The relationship between the ground state of the projected BCS Hamiltonian and Anderson's resonating valence bond state (i.e., the projected BCS ground state) is discussed.