Correlations in doped Antiferromagnets

Abstract

A comprehensive study of doped RVB states is performed. It reveals a fundamental connection between superconductivity and quantum spin fluctuations in underdoped cuprates : {\em Cooper pair hopping} strongly reduces the local magnetization $m_0$. This effect pertains to recent muon spin rotation measurements in which $m_0$ varies weakly with hole doping in the poorly conducting regime, but drops precipitously above the onset of superconductivity. Gutzwiller mean field Approximation (GA) is found to agree with numerical Monte Carlo calculation. GA shows for example that for a bond amplitude $u(r)=e^{-r/\xi }$, spin spin correlations decay exponentially with a correlation length $\propto e^{3\pi {\xi }^2/2}$. Expectation value of the Heisenberg model is found to be correlated with average loop density.

22 pages, 16 figures

References in corpus (6)

• Correlated Electrons in High Temperature Superconductors
• Quantum Transition between an Antiferromagnetic Mott Insulator and $d_{x^2-y^2}$ Superconductor in Two Dimensions
• The $1/N$ Expansion and Spin Correlations in Constrained Wavefunctions
• Anisotropic two-dimensional Heisenberg model by Schwinger-boson Gutzwiller projected method
• Exact results for resonating valence bonds states on 2D (narrow) systems
• Spin Tunneling, Berry phases and Doped Antiferromagnets

Cited by in corpus (5)

• Plaquette Boson-Fermion Model of Cuprates
• Some formal results for the valence bond basis
• Variational ground states of 2D antiferromagnets in the valence bond basis
• Resonating valence bond trial wave functions with both static and dynamically determined Marshall sign structure
• Bosonic resonating valence bond wave function for doped Mott insulators