Local moments and magnetic order in the two-dimensional Anderson-Mott transition

Abstract

We study the role of electronic correlation in a disordered two-dimensional model by using a variational wave function that can interpolate between Anderson and Mott insulators. Within this approach, the Anderson-Mott transition can be described both in the paramagnetic and in the magnetic sectors. In the latter case, we find evidence for the formation of local magnetic moments that order before the Mott transition. The charge gap opening in the Mott insulator is accompanied by the vanishing of the ${\lim }_{q\to 0}\overline{<n_q><n_{-q}>}$ (the bar denoting the impurity average), which is related to the compressibility fluctuations. The role of a frustrating (second-neighbor) hopping is also discussed, with a particular emphasis to the formation of metastable spin-glass states.

arXiv comment4+epsilon pages, 5 figures

References in corpus (17)

• Metallic behavior and related phenomena in two dimensions
• Metal-insulator transition in two-dimensional electron systems
• Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
• Wave function optimization in the variational Monte Carlo method
• Mott--Hubbard transition vs. Anderson localization of correlated, disordered electrons
• Variational description of Mott insulators
• Mean field theory of the Mott-Anderson transition
• Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects
• Metallic Phase and Metal-insulator Transition in 2d Electronic Systems
• Quantum critical behavior of disordered itinerant ferromagnets
• Metal-insulator transition in 2D: resistance in the critical region
• Conducting phase in the two-dimensional disordered Hubbard model
• Inhomogeneous metallic phase upon disordering a two dimensional Mott insulator
• Transport and percolation in a low-density high-mobility two-dimensional hole system
• Unconventional metal-insulator transition in two dimensions
• Scaling behavior of an Anderson impurity close to the Mott-Anderson transition
• Disappearance of the metal-like behavior in GaAs two-dimensional holes below 30 mK

Cited by in corpus (11)

• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
• Ground-state properties of the disordered Hubbard model in two dimensions
• Machine learning electron correlation in a disordered medium
• Quantum Gutzwiller approach for the two-component Bose-Hubbard model
• Competition between disorder and Coulomb interaction in a two-dimensional plaquette Hubbard model
• Characterization of the Bose-glass phase in low-dimensional lattices
• Machine learning predictions for local electronic properties of disordered correlated electron systems
• Variational Monte Carlo Study of Anderson Localization in the Hubbard Model
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
• Kinetics of thermal Mott transitions in the Hubbard model
• Magnetic instability and spin-glass order beyond the Anderson-Mott transition in interacting power-law random banded matrix fermions