Correlated electrons in the presence of disorder

Abstract

Several new aspects of the subtle interplay between electronic correlations and disorder are reviewed. First, the dynamical mean-field theory (DMFT)together with the geometrically averaged ("typical") local density of states is employed to compute the ground state phase diagram of the Anderson-Hubbard model at half-filling. This non-perturbative approach is sensitive to Anderson localization on the one-particle level and hence can detect correlated metallic, Mott insulating and Anderson insulating phases and can also describe the competition between Anderson localization and antiferromagnetism. Second, we investigate the effect of binary alloy disorder on ferromagnetism in materials with $f$-electrons described by the periodic Anderson model. A drastic enhancement of the Curie temperature $T_c$ caused by an increase of the local $f$-moments in the presence of disordered conduction electrons is discovered and explained.

17 pages, 7 figures, final version, typos corrected, references updated, submitted to Eur. Phys. J. for publication in the Special Topics volume "Cooperative Phenomena in Solids: Metal-Insulator Transitions and Ordering of Microscopic Degrees of Freedom"

References in corpus (9)

• Anderson Transitions
• The numerical renormalization group method for quantum impurity systems
• Metal-insulator transition in two-dimensional electron systems
• Disordered quantum gases under control
• Visualizing Critical Correlations near the Metal-Insulator Transition in Ga1-xMnxAs
• Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
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Cited by in corpus (12)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Interaction-tuned Anderson versus Mott localization
• Kondo-Anderson Transitions
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• Probing the effects of interaction in Anderson localization using linear photonic lattices
• A local theory for Mott-Anderson localization
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
• Disorder effects on hot spots in electron-doped cuprates
• Universal scaling in the Knight shift anomaly of doped periodic Anderson model
• Inhomogeneous Kondo destruction by RKKY correlations
• Non-local corrections to the typical medium theory of Anderson localization