Extended Gutzwiller Approximation for Inhomogeneous System

Abstract

The generalization of the Gutzwiller approximation to inhomogeneous systems is considered, with extra spin-and-site-dependent fugacity factors included. It is found that the inclusion of fugacity factors reconciles the seemingly contradictory choices of Gutzwiller factors used in the literature. Moreover, from the derivation of the Gutzwiller factors, it is shown that the Gutzwiller approximation breaks the rotational symmetry of the trial wavefunctions, and that different components of the spin-spin interaction need to be renormalized differently under the approximation. Various schemes to restore the rotational symmetry are discussed and are compared with results from variational Monte-Carlo calculations for the two-dimensional square-lattice antiferromagnet. Results along different paths within the full parameter space, which corresponds to different choices of fugacity factors in the literature, are also compared.

13 pages, 1 table, 6 figures; v2. Introduction revised, plus minor changes in acknowledgments and endnote/bibliography; v3. Discussion on relation with 1/d expansion added in introduction and sect.II, correction on notations in appendix, and minor update on bibliography

References in corpus (10)

• Theory of Asymmetric Tunneling in the cuprate superconductors
• Gossamer Superconductivity near Antiferromagnetic Mott Insulator in Layered Organic Conductors
• Unrestricted renormalized mean field theory of strongly correlated electron systems
• Charge and spin order on the triangular lattice -- Na${}_x$CoO${}_2$ at $x=0.5$
• Theory for Gossamer and Resonating Valence Bond Superconductivity
• Inhomogeneous states with checkerboard order in the t-J Model
• Particle number renormalization in almost half filled Mott Hubbard superconductors
• Stability of Inhomogeneous Superstructures from Renormalized Mean-field Theory of the t--J Model
• Charge Ordered RVB States in the Doped Cuprates
• On the evaluation of matrix elements in partially projected wave functions

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• Local Electronic Structure and Fano Interference in Tunneling into a Kondo Hole System
• Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Is there a superconducting phase in the half-filled ionic Hubbard model ?
• Effective pairing theory for strongly correlated d-wave superconductors
• Charge, bond, and pair density wave orders in a strongly correlated system
• Supercurrent through grain boundaries in the presence of strong correlations
• Mott and Wigner-Mott transitions in doped correlated electron systems: effects of superlattice potential and inter-site correlation
• Unconventional superconductivity in a strongly correlated band-insulator without doping
• Fulde-Ferrell-Larkin-Ovchinnikov state in strongly correlated d-wave superconductors
• Gutzwiller projection for exclusion of holes: Application to strongly correlated Ionic Hubbard Model and Binary Alloys
• Enigma of the vortex state in a strongly correlated d-wave superconductor
• Charge modulation in the background of depleted superconductivity inside vortices
• Interplay of mass imbalance and frustration in correlated band insulators
• Pinning of Vortices by impurities in Unconventional superconductors
• Tunnelling matrix elements with antiferromagnetic Gutzwiller wave functions