Particle number renormalization in almost half filled Mott Hubbard superconductors

Abstract

The effects of the Gutzwiller projection on a BCS wave function with varying particle number are considered. We show that a fugacity factor has to be introduced in these wave functions when they are Gutzwiller projected, and derive an expression for this factor within the Gutzwiller approximation. We examine the effects of the projection operator on BCS wave functions by calculating the average number of particles before and after projection. We also calculate particle number fluctuations in a projected BCS state. Finally, we point out the differences between projecting BCS wave functions in the canonical and grand canonical schemes, and discuss the relevance of our results for variational Monte Carlo studies.

10 pages, 5 figures

References in corpus (11)

• Cold bosonic atoms in optical lattices
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Projected Wavefunctions and High Temperature Superconductivity
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Phase Diagram and Pairing Symmetry of the Two-Dimensional t-J Model by a Variation Theory
• Metal-Insulator Transitions in Degenerate Hubbard Models and A${}_x$C${}_{60}$
• Crossover of superconducting properties and kinetic-energy gain in two-dimensional Hubbard model
• Time-dependent Gutzwiller approximation for the Hubbard model
• Gossamer Superconductivity near Antiferromagnetic Mott Insulator in Layered Organic Conductors
• Theory for Slightly Doped Antiferromagnetic Mott Insulators
• Nodal Quasiparticle Dispersion in Strongly Correlated d-wave Superconductors

Cited by in corpus (15)

• Compact numerical solutions to the two-dimensional repulsive Hubbard model obtained via non-unitary similarity transformations
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Grand canonical Gutzwiller approximation for magnetic inhomogeneous systems
• Chiral spin-orbital liquids with nodal lines
• Electronic structure of strongly correlated d-wave superconductors
• Extended Gutzwiller Approximation for Inhomogeneous System
• Superconducting Pairing Symmetries in Anisotropic Triangular Quantum Antiferromagnets
• Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators
• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Theory of the quasiparticle excitation in high T${}_c$ cuprates: quasiparticle charge and nodal-antinodal dichotomy
• Projected d-wave superconducting state: a fermionic projected entangled pair state study
• Effect of the exchange hole on the Gutzwiller approximation in one dimension
• Grand-canonical variational approach for the t-J model
• Renormalization of transition matrix elements of particle number operators due to strong electron correlation
• Ground State Energy of Extended Hubbard Model by self-consistent RPA