On the evaluation of matrix elements in partially projected wave functions

Abstract

We generalize the Gutzwiller approximation scheme to the calculation of nontrivial matrix elements between the ground state and excited states. In our scheme, the normalization of the Gutzwiller wave function relative to a partially projected wave function with a single non projected site (the reservoir site) plays a key role. For the Gutzwiller projected Fermi sea, we evaluate the relative normalization both analytically and by variational Monte-Carlo (VMC). We also report VMC results for projected superconducting states that show novel oscillations in the hole density near the reservoir site.

References in corpus (8)

• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Multi-band Gutzwiller wave functions for general on-site interactions
• Projected Wavefunctions and High Temperature Superconductivity
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Doped t-J Model on a Triangular Lattice: Possible Application to Na${}_x$CoO${}_2\cdot y$H${}_2$0 and Na${}_{1-x}$TiO${}_2$
• Superconducting states in frustrating t-J model: A model connecting high-$T_c$ cuprates, organic conductors and Na${}_x$CoO${}_2$
• Time-dependent Gutzwiller approximation for the Hubbard model
• Nodal Quasiparticle Dispersion in Strongly Correlated d-wave Superconductors

Cited by in corpus (11)

• Spontaneous breaking of the Fermi surface symmetry in the t-J model: a numerical study
• Grand canonical Gutzwiller approximation for magnetic inhomogeneous systems
• Electronic structure of strongly correlated d-wave superconductors
• Extended Gutzwiller Approximation for Inhomogeneous System
• Spectral Weights, d-wave Pairing Amplitudes, and Particle-hole Tunneling Asymmetry of a Strongly Correlated Superconductor
• One-Particle Anomalous Excitations of Gutzwiller Projected BCS Superconductors and Bogoliubov Quasi-Particle Characteristics
• Topological Order in Projected Wave Functions and Effective Theories of Quantum Antiferromagnets
• Topological Order in Gutzwiller Projected Wave Functions for Quantum Antiferromagnets
• Effect of the exchange hole on the Gutzwiller approximation in one dimension
• Functional renormalization group without functional integrals: implementing Hilbert space projections for strongly correlated electrons via Hubbard X-operators
• Tunnelling matrix elements with antiferromagnetic Gutzwiller wave functions