Universal Distribution of Kondo Temperatures in Dirty Metals
arXiv:cond-mat/0601537 · doi:10.1103/PhysRevLett.96.117209
Abstract
Kondo screening of diluted magnetic impurities in a disordered host is studied analytically and numerically in one, two and three dimensions. It is shown that in the T_K \to 0 limit the distribution of Kondo temperatures has a universal form, P(T_K) \sim T_K^{-α} that holds in the insulating phase and persists in the metallic phase close to the metal insulator transition. Moreover, the exponent αdepends only on the dimensionality. The most important consequence of this result is that the T-dependence of thermodynamic properties is smooth across the metal-insulator transition in three dimensional systems.
arXiv comment4 pages, 3 figures; added reference
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- Disorder-mediated Kondo effect in graphene
- Disordered Quantum Spin Chains with Long-Range Antiferromagnetic Interactions
- Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
- The Mesoscopic Kondo Box: A Mean-Field Approach
- Mesoscopic Anderson Box: Connecting Weak to Strong Coupling
- Multifractality and the distribution of the Kondo temperature at the Anderson transition
- Simulating realistic screening clouds around quantum impurities: role of spatial anisotropy and disorder
- Conductance of a quantum dot in the Kondo regime connected to dirty wires
- The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
- Vacancy-induced tunable Kondo effect in twisted bilayer graphene
- Inhomogeneous Kondo destruction by RKKY correlations
- Magnetic Quantum Phase Diagram of Magnetic Impurities in 2 Dimensional Disordered Electron Systems