This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals with particular emphasis on magnetic quantum critical points. Both the existing theoretical concepts and experimental data on selected materials are presented; with the aim of assessing the validity of presently available theory. After briefly recalling the fundamentals of Fermi-liquid theory, the local Fermi-liquid state in quantum impurity models and their lattice versions is described. Next, the scaling concepts applicable to quantum phase transitions are presented. The Hertz-Millis-Moriya theory of quantum phase transitions is described in detail. The breakdown of the latter is analyzed in several examples. In the final part experimental data on heavy-fermion materials and transition-metal alloys are reviewed and confronted with existing theory.

http://export.arxiv.org/pdf/cond-mat/0606317

Fermi-liquid instabilities at magnetic quantum phase transitions

Magnetic structures in the ternary RM2X2 compounds (R=Gd to Tm; M=Fe, Co, Ni, or Cu; X=Si or Ge).

Rare earth intermetallics

The hybridization between localized 4f electrons and itinerant electrons in rare-earth-based materials gives rise to their exotic properties like valence fluctuations, Kondo behaviour, heavy-fermions, or unconventional superconductivity. Here we present an angle-resolved photoemission spectroscopy (ARPES) study of the Kondo lattice antiferromagnet CeRh2Si2, where the surface and bulk Ce-4f spectral responses were clearly resolved. The pronounced 4f (0) peak seen for the Ce terminated surface gets strongly suppressed in the bulk Ce-4f spectra taken from a Si-terminated crystal due to much larger f-d hybridization. Most interestingly, the bulk Ce-4f spectra reveal a fine structure near the Fermi edge reflecting the crystal electric field splitting of the bulk magnetic 4f (1)5/2 state. This structure presents a clear dispersion upon crossing valence states, providing direct evidence of f-d hybridization. Our findings give precise insight into f-d hybridization penomena and highlight their importance in the antiferromagnetic phases of Kondo lattices.

/pdf/arpes-view-on-surface-and-bulk-hybridization-phenomena-in-3316j4ugk3.pdf

ARPES view on surface and bulk hybridization phenomena in the antiferromagnetic Kondo lattice CeRh2Si2

Investigations by neutron diffraction and magnetic measurements are reported on the ternary suicides RRh2Si2 (R  Ce, Nd, Tb) and RRu2Si2 (R  Nd, Tb) with the tetragonal structure of the ThCr2Si2 type. CeRh2Si2 orders antiferromagnetically below 36 K with a wave vector k = [ 1 2 1 2 0] and magnetic moments parallel to the c-axis (m0) = 1.50 μ/Ce). The magnetic structure of TbRh2Si2 is antiferromagnetic (k = [001]) below TN = 94 K, the magnetic moments (8.5 μB/Tb at T = 15 K) are also parallel to the c-axis. NdRh2Si2 has the same magnetic structure below TN = 57 K, with m0 = 2.80 μB/Nd parallel to the c-axis. NdRu2Si2 exhibits a more complicated magnetic structure: below TN = 24 K it develops a sine-wave modulation (k = [0.130.130]) of the magnetic moments always parallel to the c-axis, with an amplitude Ak = 3.23 μB/Nd; a squaring of the magnetic structure occurs at about 15 K (m0 = 2.84 μB), and at T

Magnetic order in ternary compounds RRh2Si2 and RRu2Si2

Magnetic ordering in TbRh2Si2 and CeRh2Si2

Magnetic properties of Ce(Rh1−xRux)2Si2 solid solutions

The magnetic properties of the Ce(Rh1_xRux)2Si2 solid solutions have been investigated. The antiferromagnetic structure of CeRh2Si2 remains up to x = 0.40 but the ordering temperature and the magnetic moment are strongly depressed. For x = 0.40 and 0.50 a heavy fermion behaviour is found (γ ≈ 600 mJ/molK2) with a heavier mass for quasiparticles than in pure CeRu2Si2.

MAGNETIC PROPERTIES OF Ce(Rh1_xRux)2Si2 SOLID SOLUTIONS

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Magnetic ordering in TbRh2Si2 and CeRh2Si2

Magnetic order in ternary compounds RRh2Si2 and RRu2Si2

Magnetic properties of Ce(Rh1−xRux)2Si2 solid solutions

MAGNETIC PROPERTIES OF Ce(Rh1_xRux)2Si2 SOLID SOLUTIONS