Quantum antiferromagnetism and high $T_C$ superconductivity: a close connection between the t-J model and the projected BCS Hamiltonian

Abstract

A connection between quantum antiferromagnetism and high $T_C$ superconductivity is theoretically investigated by analyzing the t-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-J model at half filling (i.e., the 2D antiferromagnetic Heisenberg model) is entirely equivalent to the ground state of the Gutzwiller-projected BCS Hamiltonian with strong pairing. Combined with the high wavefunction overlap between the ground states of the t-J model and the projected BCS Hamiltonian at moderate doping, this equivalence provides strong support for the existence of superconductivity in the t-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.

18 pages, 9 figures, the final version published in Phys. Rev. B

References in corpus (12)

• Correlated Electrons in High Temperature Superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Quantum Criticality: competing ground states in low dimensions
• SO(5) Theory of Antiferromagnetism and Superconductivity
• ARPES Study of the Superconducting Gap Anisotropy in Bi_2Sr_2CaCu_2O_8+x
• Projected Wavefunctions and High Temperature Superconductivity
• Superconductivity in the two-dimensional t-J model
• Gossamer Superconductor, Mott Insulator, and Resonating Valence Bond State in Correlated Electron Systems
• d-Wave Pairing Correlation in the Two-Dimensional t-J Model
• Magnetic Instability in Strongly Correlated Superconductors
• Theoretical Evidence for Equivalence between the Ground States of the Strong-Coupling BCS Hamiltonian and the Antiferromagnetic Heisenberg Model

Cited by in corpus (3)

• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Unfrustrating the t-J Model: d-wave BCS Superconductivity in the $t^{\prime }$-$J_z$-$V$ Model
• Fibonacci sequence and its generalizations in doped quantum spin ladders