Kondo Destruction in Heavy Fermion Quantum Criticality and the Photoemission Spectrum of YbRh${}_2$Si${}_2$

Abstract

Heavy fermion metals provide a prototype setting to study quantum criticality. Experimentally, quantum critical points have been identified and studied in a growing list of heavy fermion compounds. Theoretically, Kondo destruction has provided a means to characterize a class of unconventional quantum critical points that goes beyond the Landau framework of order-parameter fluctuations. Among the prominent evidence for such local quantum criticality have been measurements in YbRh${}_2$Si${}_2$. A rapid crossover is observed at finite temperatures in the isothermal field dependence of the Hall coefficient and other transport and thermodynamic quantities, which specifies a $T^{\ast }(B)$ line in the temperature ($T$)-magnetic field ($B$) phase diagram. Here, we discuss what happens when temperature is raised, by analyzing the ratio of the crossover width to the crossover position. With this ratio approaching unity at $T\gtrsim 0.5$ K, YbRh${}_2$Si${}_2$ at zero magnetic field belongs to the quantum-critical fluctuation regime, where the single-particle spectral function has significant spectral weight at both the small and large Fermi surfaces. This implies that, in this temperature range, any measurements sensitive to the Fermi surface will also see a significant spectral weight at the large Fermi surface. The angle-resolved photoemission spectroscopy (ARPES) experiments recently reported for YbRh${}_2$Si${}_2$ at $T>1$ K are consistent with this expectation, and therefore support the association of the $T^{\ast }(B)$ line with the physics of Kondo destruction.

arXiv commentsubmitted to proceedings of ICM15

References in corpus (30)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Locally critical quantum phase transitions in strongly correlated metals
• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• Quantum criticality
• Heavy Fermions and Quantum Phase Transitions
• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Hall-effect evolution across a heavy-fermion quantum critical point
• Multiple energy scales at a quantum critical point
• NiO: Correlated Bandstructure of a Charge-Transfer Insulator
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Coexistence of antiferromagnetism and superconductivity in CeRhIn5 under high pressure and magnetic field
• Thermal and Electrical Transport across a Magnetic Quantum Critical Point
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Kondo Destruction and Quantum Criticality in Kondo Lattice Systems
• Continuous quantum phase transition in a Kondo lattice model
• Two- and Three-Dimensional Fermi Surfaces and their Nesting Properties in Superconducting BaFe2(As1-xPx)2
• The electronic structure of CeCoIn5 from angle-resolved photoemission spectroscopy II: Hybridization effects
• Dissimilarities between the electronic structure of chemically doped and chemically pressurized iron pnictides from an angle-resolved photoemission spectroscopy study
• Fermi surface and antiferromagnetism in the Kondo lattice: an asymptotically exact solution in d>1 Dimensions
• Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model
• Hall effect in heavy-fermion metals
• Magnetic quantum phase transition in an anisotropic Kondo lattice
• Antiferromagnetism and Superconductivity in CeRhIn${}_5$
• Growth, Characterization and Fermi Surface of Heavy Fermion CeCoIn5 Superconductor
• Electronic structure of Ce2RhIn8 2D heavy Fermion system studied by angle resolved photoemission spectroscopy
• Discontinuous Hall coefficient at the quantum critical point in YbRh2Si2
• The electronic structure of CeCoIn5 from angle-resolved photoemission spectroscopy I: Comparison to LDA
• Band dependent emergence of heavy quasiparticles in CeCoIn5

Cited by in corpus (13)

• Heavy-electron quantum criticality and single-particle spectroscopy
• Direct observation of how the heavy fermion state develops in CeCoIn5
• Evolution of the Kondo lattice and non-Fermi liquid excitations in a heavy-fermion metal
• Orbital-selective Kondo-lattice and enigmatic f-electrons emerging from inside the antiferromagnetic phase of a heavy fermion
• Cascade of magnetic field induced Lifshitz transitions in the ferromagnetic Kondo lattice material YbNi4P2
• Enhancement of the effective mass at high magnetic fields in CeRhIn${}_5$
• Fermi volume evolution and crystal field excitations in heavy-fermion compounds probed by time-domain terahertz spectroscopy
• Long-range entanglement near a Kondo-destruction quantum critical point
• Interplay between unconventional superconductivity and heavy-fermion quantum criticality: CeCu${}_2$Si${}_2$ versus YbRh${}_2$Si${}_2$
• Critical slowing down of fermions near a magnetic quantum phase transition
• Terahertz Conductivity of Heavy-fermion Systems from Time-resolved Spectroscopy
• Transport Spectroscopy of the Field Induced Cascade of Lifshitz Transitions in YbRh2Si2
• Tuning low-energy scales in YbRh${}_2$Si${}_2$ by non-isoelectronic substitution and pressure