Strongly inhomogeneous phases and non-Fermi-liquid behavior in randomly depleted Kondo lattices

@article{Kaul2007StronglyIP,
  title={Strongly inhomogeneous phases and non-Fermi-liquid behavior in randomly depleted Kondo lattices},
  author={Ribhu K. Kaul and Matthias Vojta},
  journal={Physical Review B},
  year={2007},
  volume={75},
  pages={132407}
}
  • R. Kaul, M. Vojta
  • Published 28 February 2006
  • Materials Science
  • Physical Review B
We investigate the low-temperature behavior of paramagnetic Kondo lattices upon random depletion of the local $f$ moments by using strong-coupling arguments and solving SU$(N)$ saddle-point equations on large lattices. For a large range of intermediate doping levels, between the coherent Fermi-liquid of the dense lattice and the single-impurity Fermi liquid of the dilute limit, we find strongly inhomogeneous states that exhibit distinct non-Fermi-liquid characteristics. The interplay of dopant… 
View PDF on arXiv
21 Citations
Background Citations
2

21 Citations

Citation Type

Citation Type

Influence of disorder on the transport properties of heavy-fermion systems
The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM)…
Non-Fermi-liquid behavior from dynamical effects of impurity scattering in correlated Fermi liquids
The interplay of disorder and interactions is a subject of perennial interest. In this work, we have investigated the effect of disorder due to chemical substitution on the dynamics and transport…
Coherence temperature in the diluted periodic Anderson model
The Kondo and Periodic Anderson Model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy fermion materials and, more generally, a variety of strong…
Photo-emission signatures of coherence breakdown in Kondo alloys: dynamical mean-field theory approach
We study the Kondo alloy model on a square lattice using dynamical mean-field theory for Kondo substitution and disorder effects, together with static mean-field approximations. We computed and…
Competition between Kondo and RKKY correlations in the presence of strong randomness.
TLDR
Novel duality between the Kondo singlet phase and the critical local moment state beyond the Landau-Ginzburg-Wilson paradigm is proposed, suggesting an enhanced symmetry at the local quantum critical point.
Strong-coupling limit of depleted Kondo- and Anderson-lattice models
Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the…
Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model
The Kondo and Periodic Anderson models describe many of the qualitative features of local moments coupled to a conduction band, and thereby the physics of materials such as the heavy fermions. In…
Lifshitz transition in Kondo alloys.
TLDR
This work identifies and characterize two different Fermi-liquid regimes and proposes that both regimes are separated by a Lifshitz transition at x=n(c), which could provide a scenario for the non-Fermi liquid properties that were recently observed in Kondo alloy systems.
Validity of the local self-energy approximation: Application to coupled quantum impurities
We examine the quality of the local self-energy approximation, applied here to models of multiple quantum impurities coupled to an electronic bath. The local self-energy is obtained by solving a…
Emergent Coherent Lattice Behavior in Kondo Nanosystems.
TLDR
This fundamental issue within the particle-hole symmetric Kondo lattice model is investigated using quantum Monte Carlo simulations and shows the onset of the hybridization gap matches well the enhancement of antiferromagnetic spin correlations in the plane perpendicular to the applied magnetic field.
...
...

References

SHOWING 1-10 OF 15 REFERENCES
Two-fluid behavior of the Kondo lattice in the 1 ∕ N slave boson approach
It has been recently shown by Nakatsuji, Pines, and Fisk [S. Nakatsuji, D. Pines, and Z. Fisk, Phys. Rev. Lett. 92, 016401 (2004)] from the phenomenological analysis of experiments in…
Disorder-Driven Non-Fermi-Liquid Behavior in Kondo Alloys
We show how a model of disordered Anderson lattices can account for many non-Fermi-liquid features observed in some Kondo alloys. Because of the exponential nature of the Kondo temperature scale…
Non-Fermi-liquid behavior in U and Ce alloys: Criticality, disorder, dissipation, and Griffiths-McCoy singularities
In this paper we provide a theoretical basis for the problem of Griffiths-McCoy singularities close to the quantum critical point for magnetic ordering in U and Ce intermetallics. We show that the…
Intersite coupling effects in a kondo lattice.
TLDR
Observations indicate that the screening of the magnetic moments in the lattice involves antiferromagnetic intersite correlations with a larger energy scale in comparison with the Kondo impurity case.
Weak magnetism and non-Fermi liquids near heavy-fermion critical points
This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the…
From the local Fermi liquid to the heavy Fermi liquid
Magnetic-ion concentration dependence of some physical quantities in heavy-fermion systems are investigated on the basis of the periodic Anderson model with randomly distributed sites without f…
Heavy-fermion behavior and the single-ion Kondo model.
TLDR
The results strongly suggest that intersite correlations do not play the expected important role and that the high specific heat reported for CePb/sub 3/ is mainly a manifestation of the single-ion Kondo resonance.
Griffiths phase of the Kondo insulator fixed point
Kondo effect in disordered systems.
TLDR
The calculations, based on a slave-boson approach, show that the probability distribution P(T k ) for Kondo temperatures can be related to the local-density-of-states fluctuations induced by localization effects.
Coherence scale of the kondo lattice
It is shown that the large- N approach yields two energy scales for the Kondo lattice model. The single-impurity Kondo temperature, T(K), signals the onset of local singlet formation, while…
...
...