Gutzwiller description of non-magnetic Mott insulators: Dimer lattice model

2007/04/11 by Michele Fabrizio · 4 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Electrical resistivity and conductivity #Hubbard model #Lattice (music) #Metal–insulator transition #Mott insulator #Mott transition #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity #Variational Monte Carlo #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.165110

15 pages, 9 figures

arxiv created 2007/04/11 · openalex publication_date 2007/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce an extension of the Gutzwiller variational wave function able to deal with insulators that escape any mean-field-like description, as, for instance, nonmagnetic insulators. As an application, we study the Mott transition from a paramagnetic metal into a nonmagnetic Peierls, or valence-bond, Mott insulator. We analyze this model by means of our Gutzwiller wave function analytically in the limit of large coordination lattices, where we find that (1) the Mott transition is of first order; (2) the Peierls gap is large in the Mott insulator, although it is mainly contributed by the electron repulsion; and (3) singlet superconductivity arises around the transition.

Citations

• Properties of Gutzwiller wave functions for multiband models
• Quantum cluster theories
• Spectral Weight of the Hubbard Model through Cluster Perturbation Theory
• Unrestricted renormalized mean field theory of strongly correlated electron systems
• Relation between the Anderson and Kondo Hamiltonians
• Wave function optimization in the variational Monte Carlo method

Cited by

• Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer
• Quantum fluctuations beyond the Gutzwiller approximation
• Finite-temperature Gutzwiller approximation from the time-dependent variational principle
• Fermi-surface evolution across the magnetic phase transition in the Kondo lattice model

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• The Generalized Gutzwiller Method for n=>2 Correlated Bands: First Order Metal-Insulator Transitions