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Published on: March 30, 2017
Dynamical Scaling and Planckian Dissipation Due to Heavy-Fermion Quantum Criticality
Andreas Gleis1,2, Seung-Sup B Lee1,3,4,5, Gabriel Kotliar2,6
1Ludwig-Maximilians-Universität München, Arnold Sommerfeld Center for Theoretical Physics, Center for NanoScience, and Munich Center for Quantum Science and Technology, 80333 Munich, Germany.
We found a novel quantum-critical point exhibiting Planckian dissipation and strange-metal behavior in conductivity and resistivity. This intrinsic phenomenon explains experimental results in heavy-fermion materials.
Area of Science:
- Condensed Matter Physics
- Quantum Critical Phenomena
Background:
- Kondo-breakdown quantum-critical points (KB QCP) are crucial for understanding exotic metallic states.
- Dynamical scaling near criticality offers insights into fundamental material properties.
Purpose of the Study:
- Investigate dynamical scaling at a KB QCP using the periodic Anderson model.
- Identify the underlying mechanisms for strange-metal behavior in conductivity and resistivity.
Main Methods:
- Employed two-site cellular dynamical mean-field theory (2CDMFT).
- Analyzed dynamical staggered-spin and current susceptibilities.
- Proposed a scaling ansatz for quantum-critical behavior.
Main Results:
- Observed universal ω/T scaling in dynamical staggered-spin susceptibility.
- Revealed Planckian dissipation for low-energy excitations.
- Demonstrated strange-metal behavior in optical conductivity and resistivity driven by vertex corrections.
- Identified a novel, intrinsic strange-metal fixed point.
Conclusions:
- The 2CDMFT framework captures essential physics of intrinsic strange metals.
- Results align with experimental data for YbRh_{2}Si_{2} and CeCoIn_{5}.
- Short-ranged vertex contributions are key to strange-metal behavior, not single-particle decay.
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