Journal ArticleDOI
The Kondo lattice and weak antiferromagnetism
TLDR
In this article, it was suggested that a second-order transition from an antiferromagnetic to a Kondo spin-compensated ground state will occur as the exchange coupling constant J is increased to a critical value Jc for systems in which J ≲ Jc.Abstract:
By considering a one-dimensional analog of a system of conduction electrons exchange coupled to a localized spin in each cell of a lattice, it is suggested that a second-order transition from an antiferromagnetic to a Kondo spin-compensated ground state will occur as the exchange coupling constant J is increased to a critical value Jc For systems in which J ≲ Jc, a very weak sublattice magnetization may occur as a result of nearly complete spin-compensationread more
Citations
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Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
Journal ArticleDOI
Fermi-liquid instabilities at magnetic quantum phase transitions
TL;DR: 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.
Journal ArticleDOI
Magnetic effects at the interface between non-magnetic oxides
Alexander Brinkman,Mark Huijben,Mark Huijben,M. van Zalk,J. Huijben,Uli Zeitler,Jan C. Maan,W.G. van der Wiel,Guus Rijnders,David H.A. Blank,Hans Hilgenkamp +10 more
TL;DR: In this article, the authors show how magnetism can be induced at the interface between the otherwise non-magnetic insulating perovskites SrTiO3 and LaAlO3.
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.
Journal Article
Magnetic effects at the interface between nonmagnetic oxides
TL;DR: The conducting oxide interface now provides a versatile system to induce and manipulate magnetic moments in otherwise non-magnetic materials.
References
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Journal ArticleDOI
Theory of the First-Order Magnetic Phase Change in U O 2
TL;DR: In this article, it was shown that a "catastrophe" may occur at some critical temperature so that the magnetization is reduced discontinuously to zero, and depending on the ratio of the singlet-triplet energy difference to the molecular-field splitting of the triplet, one obtains either no magnetic ordering, a first-order phase change, or a second-order transition.
Journal ArticleDOI
Calculation of critical exponents in two dimensions from quantum field theory in one dimension
A. Luther,Ingo Peschel +1 more
TL;DR: In this paper, a relationship between the Baxter model in two dimensions and the Luttinger model in one was constructed, and the relationship was used to calculate critical exponents for the Baxter models from appropriate Lutteringer-model correlation functions.
Journal ArticleDOI
Influence of the Crystalline Field on the Kondo Effect of Alloys and Compounds with Cerium Impurities
B. Cornut,B. Coqblin +1 more
Journal ArticleDOI
Backward Scattering in the One-Dimensional Electron Gas
A. Luther,V. J. Emery +1 more
TL;DR: An exact solution to the one-dimensional electron gas with a particular attractive interaction strength for scattering across the Fermi "surface" is given in this paper, and scaling arguments are advanced to demonstrate that this solution applies generally for attractive backward scattering.
Journal ArticleDOI
Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical Models
TL;DR: In this paper, the simplest Kondo problem is treated exactly in the ferromagnetic case, and given exact bounds for the relevant physical properties in the antiferromagnetic cases, by use of a scaling technique on an asymptotically exact expression for the ground-state properties given earlier.