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Quantum Boltzmann equation study for the Kondo breakdown quantum critical point.

K-S Kim1, C Pépin

  • 1Asia Pacific Center for Theoretical Physics, Hogil Kim Memorial Building 5th floor, POSTECH, Hyoja-dong, Namgu, Pohang 790-784, Korea. kimks@apctp.org

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 10, 2011
PubMed
Summary

We present a quantum Boltzmann equation approach for the Kondo breakdown quantum critical point. Vertex corrections are crucial for understanding non-Fermi liquid transport, especially its linear temperature dependence.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Critical Phenomena

Background:

  • The Kondo breakdown quantum critical point describes a phase transition in heavy fermion systems.
  • Understanding non-Fermi liquid transport is key to characterizing exotic electronic states.

Purpose of the Study:

  • To develop a quantum Boltzmann equation approach for the Kondo breakdown quantum critical point.
  • To investigate the role of vertex corrections in transport phenomena.

Main Methods:

  • Utilizing the quantum Boltzmann equation approach.
  • Considering two bands for conduction electrons and localized fermions.
  • Analyzing scattering with gauge and hybridization fluctuations.
  • Incorporating vertex corrections to address self-energy divergences.

Main Results:

  • Vertex corrections are essential for non-Fermi liquid transport with linear temperature dependence.
  • For gauge fluctuations, vertex corrections cancel self-energy divergences, yielding a physically meaningful conductivity.
  • For hybridization excitations, vertex corrections become irrelevant in the decoupling limit due to heavy spinon masses.

Conclusions:

  • The developed quantum Boltzmann equation approach provides a framework for studying Kondo breakdown criticality.
  • Vertex corrections play a critical role in determining transport properties, particularly non-Fermi liquid behavior.
  • The findings are consistent with diagrammatic approaches, reinforcing the understanding of non-Fermi liquid transport.