# Electron scattering on magnetic impurities in metals and anomalous resistivity effects

@article{Abrikosov1965ElectronSO, title={Electron scattering on magnetic impurities in metals and anomalous resistivity effects}, author={Alexei A. Abrikosov}, journal={Physics}, year={1965}, volume={2}, pages={5-20} }

A special quantum field theory technique for a system of spins was used to evaluate the resistivity of metals containing paramagnetic impurities, assuming $J/{\mathrm{\ensuremath{\epsilon}}}_{F}\ensuremath{\ll}\mathit{1}$, for an arbitrary value of ($J/{\mathrm{\ensuremath{\epsilon}}}_{F}$) ln (${\mathrm{\ensuremath{\epsilon}}}_{F}/T$), where $J$ is the exchange scattering amplitude and ${\mathrm{\ensuremath{\epsilon}}}_{F}$ the Fermi energy. The first term of this series has been found earlier…

## 490 Citations

Effect of s-d Interaction on the Spin-Lattice Relaxation in Dilute Magnetic Alloys

- Materials Science, Physics
- 1971

The contributions of magnetic impurities to the conduction-electron-lattice and impurity-spin-lattice relaxation rates (${T}_{\mathrm{sl}}^{\ensuremath{-}1}$ and…

Ground State of a Paramagnetic Impurity in a Metal

- Materials Science
- 1968

A trial wave function first proposed by Kondo as the ground state of the $s\ensuremath{-}d$ exchange Hamiltonian is analyzed in considerable detail and extended to include potential scattering. A…

Pair Description of Resistivity Maxima in Kondo Dilute Alloys

- Physics
- 1972

Previous calculations, in the second Born approximation, of the electronic scattering rate in Kondo dilute alloys in the case when the spins of two impurities are coupled by an exchange energy…

Tunneling of a heavy particle with spin in a metal.

- PhysicsPhysical review. B, Condensed matter
- 1995

The low-temperature behavior of a two-level system (TLS) with spin is investigated, where the atom tunneling between two positions possesses a spin and interacts with the conduction electrons by an exchange interaction, and the ground state seems to be a Fermi-liquid state.

Anomalous self-energy and Fermi surface quasisplitting in the vicinity of a ferromagnetic instability

- Materials Science, Physics
- 2005

We discuss the low-temperature behavior of the electronic self-energy in the vicinity of a ferromagnetic instability in two dimensions within the two-particle self-consistent approximation,…

Anomalous temperature dependence of the relaxation rate measured by muon spin rotation in
α−YbAl0.986Fe0.014B4

- Materials Science, PhysicsPhysical Review B
- 2018

Recently, it was reported by MacLaughlin et al. in Phys. Rev. B 93, 214421 (2016) that $\ensuremath{\alpha}\text{\ensuremath{-}}{\mathrm{YbAl}}_{0.986}{\mathrm{Fe}}_{0.014}{\mathrm{B}}_{4}$ exhibits…

Singularities in the X-Ray Absorption and Emission of Metals. III. One-Body Theory Exact Solution

- Physics
- 1969

The singularities of x-ray absorption or emission in metals are studied by a new "one-body" method, which describes the scattering of conduction electrons by the transient potential due to the deep…

Application of the Cluster Variation Method to the s − d Interaction Hamiltonian

- Materials Science
- 1968

The ground-state energy of an $s\ensuremath{-}d$ interacting system is calculated through the cluster variation technique. This method has been slightly reformulated so that only the expectation…

Revised theory of the magnetic surface anisotropy of impurities in metallic mesoscopic samples

- Physics
- 2007

In several experiments the magnitude of the contribution of magnetic impurities to the Kondo resistivity shows size dependence in mesoscopic samples. It was suggested ten years ago that magnetic…

Doped carrier formulation of the t − J model: Projection constraint and the effective Kondo-Heisenberg lattice representation

- Physics
- 2008

We show that the recently proposed doped carrier Hamiltonian formulation of the $t\text{\ensuremath{-}}J$ model should be complemented with the constraint that projects out the unphysical states.…

## References

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