Energy scales and the non-Fermi liquid behavior in YbRh2Si2

Abstract

Multiple energy scales are detected in measurements of the thermodynamic and transport properties in heavy fermion metals. We demonstrate that the experimental data on the energy scales can be well described by the scaling behavior of the effective mass at the fermion condensation quantum phase transition, and show that the dependence of the effective mass on temperature and applied magnetic fields gives rise to the non-Fermi liquid behavior. Our analysis is placed in the context of recent salient experimental results. Our calculations of the non-Fermi liquid behavior, of the scales and thermodynamic and transport properties are in good agreement with the heat capacity, magnetization, longitudinal magnetoresistance and magnetic entropy obtained in remarkable measurements on the heavy fermion metal YbRh2Si2.

arXiv comment8 pages, 8 figures

References in corpus (22)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Quantum magnetism and criticality
• Spin Injection and Detection in Magnetic Nanostructures
• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Quantum phase transitions from topology in momentum space
• Multiple energy scales at a quantum critical point
• Topology of the Fermi Surface Beyond the Quantum Critical Point
• Divergence of the Magnetic Grüneisen Ratio at the Field-Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Anomalous Behavior of Thermodynamic Properties of Strongly Correlated Fermi Systems
• Fermion Condensation and Non Fermi Liquid Behavior in a Model with Long Range Forces
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Universal Behavior of Two-Dimensional 3He at Low Temperatures
• Quasiparticle picture of high temperature superconductors in the frame of Fermi liquid with the fermion condensate
• Quasiparticles and quantum phase transition in universal low-temperature properties of heavy-fermion metals
• Two Scenarios of the Quantum Critical Point
• Strongly correlated Fermi-systems: non-Fermi liquid behavior, quasiparticle effective mass and their interplay
• Universal low-temperature behavior of the CePd_{1-x}Rh_x ferromagnet
• Energy scales and magnetoresistance at a quantum critical point

Cited by in corpus (3)

• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• Quasiparticles of strongly correlated Fermi liquids at high temperatures and in high magnetic fields
• Fermion condensate generates a new state of matter by making flat bands