Multifractality and the distribution of the Kondo temperature at the Anderson transition
@article{Slevin2019MultifractalityAT, title={Multifractality and the distribution of the Kondo temperature at the Anderson transition}, author={Keith Slevin and Stefan Kettemann and Tomi Ohtsuki}, journal={The European Physical Journal B}, year={2019}, volume={92}, pages={1-8} }
Abstract
Using numerical simulations, we investigate the distribution of Kondo temperatures at the Anderson transition. In agreement with previous work, we find that the distribution has a long tail at small Kondo temperatures. Recently, an approximation for the tail of the distribution was derived analytically. This approximation takes into account the multifractal distribution of the wavefunction amplitudes (in the parabolic approximation), and power law correlations between wave function…
3 Citations
References
SHOWING 1-10 OF 28 REFERENCES
Multifractal finite-size scaling and universality at the Anderson transition
- Physics
- 2011
We describe a new multifractal finite-size scaling (MFSS) procedure and its application to the Anderson localization-delocalization transition. MFSS permits the simultaneous estimation of the…
Multifractal analysis with the probability density function at the three-dimensional anderson transition.
- PhysicsPhysical review letters
- 2009
A PDF-based multifractal analysis is shown to be a valid alternative to the standard approach based on the scaling of inverse participation ratios and the non-Gaussian nature and the existence of a symmetry relation in the PDF are shown.
Multifractal analysis of the metal-insulator transition in the 3D Anderson model II: Symmetry relation under ensemble averaging
- Physics
- 2008
We study the multifractal analysis (MFA) of electronic wavefunctions at the localisation-delocalisation transition in the 3D Anderson model for very large system sizes up to $240^3$. The singularity…
Universal distribution of Kondo temperatures in dirty metals.
- PhysicsPhysical review letters
- 2006
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.
Kondo-Anderson transitions
- Physics
- 2012
Dilute magnetic impurities in a disordered Fermi liquid are considered close to the Anderson metal-insulator transition (AMIT). Critical Power law correlations between electron wave functions at…
Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
- Physics
- 2014
We report a careful finite size scaling study of the metal–insulator transition in Anderson's model of localization. We focus on the estimation of the critical exponent ν that describes the…
Enhancement of the critical temperature of superconductors by Anderson localization.
- PhysicsPhysical review letters
- 2012
It is shown that in all these regimes Anderson localization leads to strong enhancement of T{c} related to the multifractality of wave functions, and screening of the long-range Coulomb interaction opens a promising direction for searching novel materials for high-T{c}.
Critical metal phase at the Anderson metal-insulator transition with Kondo impurities.
- PhysicsPhysical review letters
- 2009
It is shown that multifractal correlations open local pseudogaps at the Fermi energy at some random positions in space that extend to a critical region in the disorder strength parameter and to a band of critical states when dilute magnetic impurities are at these locations.
Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry relation under typical averaging
- Physics
- 2008
The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the three-dimensional Anderson model of localization is characterized by its associated singularity…
Finite-size scaling and multifractality at the Anderson transition for the three Wigner-Dyson symmetry classes in three dimensions
- Physics
- 2015
The disorder induced metal--insulator transition is investigated in a three-dimensional simple cubic lattice and compared for the presence and absence of time-reversal and spin-rotational symmetry,…