TOPICAL REVIEW: How do Fermi liquids get heavy and die?

@article{Coleman2001TOPICALRH,
  title={TOPICAL REVIEW: How do Fermi liquids get heavy and die?},
  author={Piers Coleman and Catherine P{\'e}pin and Qimiao Si and Revaz Ramazashvili},
  journal={Journal of Physics: Condensed Matter},
  year={2001}
}
We discuss non-Fermi liquid and quantum critical behaviour in heavy-fermion materials, focusing on the mechanism by which the electron mass appears to diverge at the quantum critical point. We ask whether the basic mechanism for the transformation involves electron diffraction off a quantum critical spin-density wave, or whether a breakdown in the composite nature of the heavy electron takes place at the quantum critical point. We show that the Hall constant changes continuously in the first… 

Figures and Tables from this paper

Emergent Critical Charge Fluctuations at the Kondo Breakdown of Heavy Fermions.
TLDR
It is argued that the abrupt change in the Fermi surface volume that accompanies heavy-fermion criticality leads to critical charge fluctuations, which features a critical charge mode directly associated with the breakup of Kondo singlets.
Fermi-surface collapse and dynamical scaling near a quantum-critical point
Quantum criticality arises when a macroscopic phase of matter undergoes a continuous transformation at zero temperature. While the collective fluctuations at quantum-critical points are being
Quantum criticality in heavy-fermion metals
Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. Heavy-fermion metals have in recent years emerged as prototypical
Critical Fermi surfaces and non-Fermi liquid metals
At certain quantum critical points in metals an entire Fermi surface may disappear. A crucial question is the nature of the electronic excitations at the critical point. Here we provide arguments
Nonlocal Kondo effect and quantum critical phase in heavy-fermion metals
Heavy fermion metals typically exhibit unconventional quantum critical point or quantum critical phase at zero temperature due to competition of Kondo effect and magnetism. Previous theories were
Field-induced quantum fluctuations in the heavy fermion superconductor CeCu2Ge2
TLDR
The finding of the associated quantum critical spin fluctuations of the antiferromagnetic spin density wave order, dominating the local fluctuations due to single-site Kondo effect, provide new information about the underlying mechanism that can be important in understanding superconductivity in this novel compound.
Hall-effect evolution across a heavy-fermion quantum critical point
TLDR
Measurements of the low-temperature Hall coefficient (RH)—a measure of the Fermi surface volume—in the heavy-fermion metal YbRh2Si2 upon field-tuning it from an antiferromagnetic to a paramagnetic state are reported.
Anisotropic breakdown of Fermi liquid quasiparticle excitations in overdoped La₂-xSrxCuO₄.
TLDR
It is shown, using angle-resolved photoemission spectroscopy, that the Fermi liquid quasiparticle excitations of the overdoped superconducting cuprate La1.77Sr0.23CuO4 is highly anisotropic in momentum space and hence the Kadowaki-Wood's relation is not obeyed.
Quantum Criticality in Heavy Electron Compounds
Heavy electron systems provide ideal venues to study a range of issues associated with quantum criticality, including unconventional electronic phases, mo- ment formation, and complex phase diagrams
Quantum phase transitions in heavy fermion metals and Kondo insulators
Strongly correlated electron systems at the border of magnetism are of active current interest, particularly because the accompanying quantum criticality provides a route towards both strange‐metal
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 81 REFERENCES
Effect of a nonzero temperature on quantum critical points in itinerant fermion systems.
  • Millis
  • Physics
    Physical review. B, Condensed matter
  • 1993
TLDR
I reexamine the work of Hertz on quantum phase transitions in itinerant fermion systems and obtains different regimes of behavior of the correlation length and free energy in the disordered phase of the effective bosonic theory.
Are heavy-fermion metals Fermi liquids?
We present the results of specific-heat and resistivity measurements as a function of temperature, magnetic field and hydrostatic pressure on the Kondo lattice CeNi2Ge2, the heavy-fermion
TWO-DIMENSIONAL FLUCTUATIONS AT THE QUANTUM-CRITICAL POINT OF CECU6-XAUX
The heavy-fermion system CeCu_{6-x}Au_x exhibits a quantum critical point at x_c = 0.1 separating nonmagnetic and magnetically ordered ground states. The pronounced non-Fermi-liquid behavior at x_c
Quantum Phase Transitions
We give a general introduction to quantum phase transitions in strongly-correlated electron systems. These transitions which occur at zero temperature when a non-thermal parameter $g$ like pressure,
Interplay of Disorder and Spin Fluctuations in the Resistivity near a Quantum Critical Point
The resistivity in metals near an antiferromagnetic quantum critical point (QCP) is strongly affected by small amounts of disorder. In a quasi-classical treatment, we show that an interplay of
Magnetically mediated superconductivity in heavy fermion compounds
In a conventional superconductor, the binding of electrons into the paired states that collectively carry the supercurrent is mediated by phonons — vibrations of the crystal lattice. Here we argue
Onset of antiferromagnetism in heavy-fermion metals
TLDR
Evidence is found for an atomically local contribution to the magnetic correlations which develops at the critical gold concentration, corresponding to a magnetic ordering temperature of zero, which implies that a Fermi-liquid-destroying spin-localizing transition, unanticipated from the spin density wave description, coincides with the antiferromagnetic quantum critical point.
Non-fermi-liquid scaling in Ce(Ru0.5Rh)2Si2.
TLDR
The temperature dependence of the susceptibility as well as the scaling properties of the magnetoresistance are in very good agreement with the predictions of recent dynamical mean-field theories of Kondo alloys close to a spin-glass quantum critical point.
FERMI SURFACE AND SOME SIMPLE EQUILIBRIUM PROPERTIES OF A SYSTEM OF INTERACTING FERMIONS
It was shown that certain analytical properties of the propagators of many-ferraion systems led rigorously to the existence of sharp discontinuities of the momentum distribution at absolute zero.
Universal quantum-critical dynamics of two-dimensional antiferromagnets.
  • Sachdev, Ye
  • Physics
    Physical review letters
  • 1992
The universal dynamic and static properties of two-dimensional antiferromagnets in the vicinity of a zero-temperature phase transition from long-range magnetic order to a quantum-disordered phase are
...
1
2
3
4
5
...