vix.ing · top · new · best · stats · spec

Theoretical Evidence for Equivalence between the Ground States of the Strong Coupling BCS Hamiltonian and the Antiferromagnetic Heisenberg Model

2004/09/30 by K. Park
Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Ground state #Hamiltonian (control theory) #Heisenberg model #Ising model #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Square lattice #Wave function #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.95.027001

published as Phys. Rev. Lett., Vol 95, 027001 (2005) · 4 pages, 3 figures, the final version published in Phys. Rev. Lett

openalex publication_date 2005/07/07 · arxiv created 2005/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By explicitly computing wave function overlap via exact diagonalization in finite systems, we provide evidence indicating that, in the limit of strong coupling, i.e., Delta/t--> infinity the ground state of the Gutzwiller-projected BCS Hamiltonian (accompanied by proper particle-number projection) is identical to the exact ground state of the 2D antiferromagnetic Heisenberg model on the square lattice. This identity is adiabatically connected to a very high overlap between the ground states of the projected BCS Hamiltonian and the t-J model at moderate doping.

Citations