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Numerical renormalization-group study of the Bose-Fermi Kondo model
Matthew T Glossop1, Kevin Ingersent
1Department of Physics, University of Florida, Gainesville, Florida 32611-8440, USA.
Physical Review Letters
|August 11, 2005
Summary
We extend the numerical renormalization-group method to Bose-Fermi Kondo models, revealing a critical point at 0 < s < 1. This point governs quantum phase transitions between Kondo-screened and localized heavy-fermion phases.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
Background:
- Bose-Fermi Kondo models (BFKMs) describe local moments interacting with conduction electrons and bosonic baths.
- These models are relevant for understanding heavy-fermion criticality.
Purpose of the Study:
- Extend the numerical renormalization-group (NRG) method to BFKMs.
- Investigate the Ising-symmetry BFKM with a specific bosonic bath spectral function (η(ω) ∝ ω^s).
Main Methods:
- Numerical Renormalization-Group (NRG) method.
- Application to the Ising-symmetry BFKM with spectral function η(ω) ∝ ω^s.
Main Results:
- Identified an interacting critical point for 0 < s < 1.
- This critical point exhibits hyperscaling of exponents and ω/T scaling.
- The critical point describes a quantum phase transition between Kondo-screened and localized phases.
Conclusions:
- The NRG method is successfully extended to BFKMs.
- A novel quantum critical point is found in a specific BFKM, relevant to heavy-fermion systems.
- Connections are established with existing studies on BFKMs and the spin-boson model.