Quantum phase transitions and thermodynamics of the power-law Kondo model

@article{Mitchell2013QuantumPT,
  title={Quantum phase transitions and thermodynamics of the power-law Kondo model},
  author={Andrew K Mitchell and Matthias Vojta and Ralf Bulla and Lars Fritz},
  journal={Physical Review B},
  year={2013},
  volume={88},
  pages={195119}
}
We revisit the physics of a Kondo impurity coupled to a fermionic host with a diverging power-law density of states near the Fermi level, $\rho(\omega) \sim |\omega|^r$, with exponent $-1<r<0$. Using the analytical understanding of several fixed points, based partially on powerful mappings between models with bath exponents $r$ and $(-r)$, combined with accurate numerical renormalization group calculations, we determine thermodynamic quantities within the stable phases, and also near the… Expand
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References

SHOWING 1-2 OF 2 REFERENCES
The Kondo Problem to Heavy Fermions
1. Models of magnetic impurities 2. Resistivity calculations and the resistance minimum 3. The Kondo problem 4. Renormalization group calculations 5. Fermi liquid theories 6. Exact solutions and theExpand
Quantum phase transitions
Nature abounds with phase transitions. The boiling and freezing of water are everyday examples of phase transitions, as are more exotic processes such as superconductivity and superfluidity. TheExpand