General properties of phase diagrams of heavy-fermion metals

Abstract

We study the temperature-magnetic field T-B phase diagrams of heavy fermion (HF) metals, and show that at sufficiently high temperatures outside the ordered phase the crossover temperature T*(B), regarded as the energy scale, follows a linear B-dependence, crossing the origin of the T-B phase diagram. This behavior of T*(B) constitutes the general property, and is formed by the presence of fermion condensation quantum phase transition hidden within the ordered phase. Our result is in good agreement with the experimental T-B phase diagram of the HF metals YbRh2Si2, Yb(Rh{0.93}Co{0.07})2Si2, and Yb(Rh{0.94}Ir{0.06})2Si2. To support our observations, we analyze the isothermal magnetization M, and demonstrate that dM/dT exhibits a universal temperature behavior over magnetic field scaling. The obtained results are in good agreement with the corresponding data collected on YbRh2Si2 as a function of magnetic field at different temperatures under hydrostatic pressure.

arXiv comment6 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1311.0629

References in corpus (12)

• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Multiple energy scales at a quantum critical point
• Fermi Condensation Near van Hove Singularities Within the Hubbard Model on the Triangular Lattice
• Scaling Behavior of Heavy Fermion Metals
• 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${}_2$
• Ac Susceptibility and Static Magnetization Measurements of CeRu${}_2$Si${}_2$ at Small Magnetic Fields and Ultra Low Temperatures
• Quantum Criticality in doped CePd_1-xRh_x Ferromagnet
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Separation of energy scales in undoped YbRh${}_2$Si${}_2$ under hydrostatic pressure
• Zero-field Quantum Critical Point in CeCoIn${}_5$
• Nature of the quantum critical point as disclosed by extraordinary behavior of magnetotransport and the Lorentz number in the heavy-fermion metal YbRh2Si2

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