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

Source: [Theoretical Evidence for Equivalence between the Ground States of the Strong-Coupling BCS Hamiltonian and the Antiferromagnetic Heisenberg Model](<https://www.sota2.com/research/paper/68fa26862c2a3760193bac20>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:26:10.053Z

Authors: K. Park

Published: 2004-09-14T20:04:20.000Z

## Abstract

By explicitly computing wavefunction overlap via exact diagonalization in finite systems, we provide evidence indicating that, in the limit of strong coupling, i.e., $\\Delta/t \\to \\infty$, 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0409367>)

[PDF](<https://arxiv.org/pdf/cond-mat/0409367.pdf>)