scispace - formally typeset
Open AccessJournal ArticleDOI

Fermi-liquid instabilities at magnetic quantum phase transitions

TLDR
In this article, the authors discuss the instabilities of the Fermi-liquid state of conduction electrons in metals with particular emphasis on magnetic quantum critical points, with the aim of assessing the validity of presently available theory.
Abstract
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.

read more

Citations
More filters
Journal ArticleDOI

Unconventional superconductivity in magic-angle graphene superlattices

TL;DR: The realization of intrinsic unconventional superconductivity is reported—which cannot be explained by weak electron–phonon interactions—in a two-dimensional superlattice created by stacking two sheets of graphene that are twisted relative to each other by a small angle.
Dissertation

On the theory of superconductivity

TL;DR: In this article, it was shown that a metal should be superconductive if a set of corners of a Brillouin zone is lying very near the Fermi surface, considered as a sphere, which limits the region in the momentum space completely filled with electrons.
Journal ArticleDOI

Superconductivity in iron compounds

TL;DR: A detailed review of the superconductivity of FePnictide and chalcogenide (FePn/Ch) superconductors can be found in this paper.
Journal ArticleDOI

Quantum Phase Transitions

TL;DR: In this paper, the role of pertubative renormalization group (RG) approaches and self-consistent renormalized spin fluctuation (SCR-SF) theories to understand the quantum-classical crossover in the vicinity of the quantum critical point with generalization to the Kondo effect in heavy-fermion systems is discussed.
Journal ArticleDOI

Numerical renormalization group method for quantum impurity systems

TL;DR: In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization group transformation as mentioned in this paper, which gave for the first time the full crossover from the high temperature phase of a free spin to the low-temperature phase of completely screened spin.
References
More filters
Journal ArticleDOI

Annealing, lattice disorder and non-Fermi liquid behavior in UCu4Pd

TL;DR: In this paper, annealing decreases the fraction of Pd atoms on nominally Cu 16e sites and the U-Cu pair-distance distribution width in UCu{sub 4Pd} and allows an assessment of its possible importance to the observed non-Fermi liquid behavior.
Journal ArticleDOI

Critical behavior of the uniform susceptibility of a Fermi liquid near an antiferromagnetic transition with dynamic exponent z=2

TL;DR: The calculation clarifies the role of triangular ``anomaly`` graphs in the theory and justifies the effective action used in previous work, and suggests that the behavior observed in the quantum critical regime of underdoped high-{ital T}{sub {ital c}} superconductors are difficult to explain in a purely {ital z}.
Journal ArticleDOI

More evidence for magnetic ordering in CeCu6 at mK temperatures.

TL;DR: In this paper, the authors show that the Brillouin behavior of magnetic magnetization is due to a tiny amount of the magnetic ion, present in a concentration of 1.5(3) ppm.
Journal ArticleDOI

Theory of helimagnons in itinerant quantum systems. II. Nonanalytic corrections to Fermi-liquid behavior

TL;DR: In this article, the authors show that the temperature dependence of the resistivity of the magnet magnet is linear in the specific heat coefficient and anisotropic in momentum space and depends on the electronic dispersion relation.
Related Papers (5)