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Journal ArticleDOI

Influence of Electron-Phonon Interactions on the de Haas-van Alphen Effect

Stanley Engelsberg, +1 more
- 15 Sep 1970 - 
- Vol. 2, Iss: 6, pp 1657-1665
TLDR
In this article, the de Haas-van Alphen amplitude of the oscillations of the magnetization as a function of temperature in mercury was calculated for a system of electrons interacting with phonons in the presence of a magnetic field.
Abstract
The thermodynamic potential and magnetization are calculated for a system of electrons interacting with phonons in the presence of a magnetic field. The results are used for a numerical evaluation of the de Haas-van Alphen amplitude of the oscillations of the magnetization as a function of temperature in mercury. The calculated results show that although we are dealing with a strong-coupling system, the experimental observations of the de Haas-van Alphen effect should be very similar to that expected for free particles. We also apply the techniques used in the derivation to the case of nearly ferromagnetic electron systems and calculate the enhancement of the argument of the spin-splitting factor. The analysis for nearly ferromagnetic systems leads to the prediction that the cyclotron frequency which enters the amplitude of the oscillations is reduced by the same mass-enhancement factor as that which enters the specific heat.

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Citations
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Journal ArticleDOI

Unconventional Fermi surface in an insulating state

TL;DR: In this article, quantum oscillation measurements of magnetic torque in high-purity single crystals of the Kondo insulator SmB6 are presented, which reveal quantum oscillations frequencies characteristic of a large three-dimensional conduction electron Fermi surface similar to the metallic rare earth hexaborides such as PrB6 and LaB6.
Journal ArticleDOI

Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor

TL;DR: Using magnetic fields exceeding 90 tesla to access the underlying metallic state of the cuprate YBa2Cu3O6+δ over a wide range of doping, magnetic quantum oscillations reveal a strong enhancement of the quasiparticle effective mass toward optimal doping.
Journal ArticleDOI

The Electron-Phonon Interaction in Normal Metals

TL;DR: The influence of the electron-phonon many-body renormalization effects on the electron states in normal metals is reviewed in this article, where the electron mass enhancement parameter λ is discussed.
Journal ArticleDOI

Metal-insulator quantum critical point beneath the high Tc superconducting dome

TL;DR: This work uses ultrastrong magnetic fields to measure quantum oscillations in underdoped YBa2Cu3O6+x, revealing a dramatic doping-dependent upturn in quasiparticle effective mass at a critical metal-insulator transition beneath the superconducting dome.
References
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Journal ArticleDOI

Transition temperature of strong-coupled superconductors.

TL;DR: In this paper, the superconducting transition temperature is calculated as a function of the electron-phonon and electron-electron coupling constants within the framework of strong coupling theory.
Journal ArticleDOI

Low-Temperature Properties of Nearly Ferromagnetic Fermi Liquids

TL;DR: In this article, effective mass corrections due to emission and reabsorption of persistent spin fluctuations are shown to have a temperature dependence which fits qualitatively that of the low-temperature specific heat of ${\mathrm{He}}^{3}$.
Journal ArticleDOI

Coupled Electron-Phonon System

TL;DR: In this article, a coupled electron-phonon system is considered for phonon spectra of Einstein and Debye forms, and the single-particle electron Green's function $G$ is calculated in a nonperturbative manner in both models, and its spectral weight function is examined to determine the validity of a quasiparticle picture.
Journal ArticleDOI

Transport theory for electron-phonon interactions in metals

TL;DR: In this article, a coupled set of equations for the electron and phonon distribution functions was derived for the nonequilibrium case, which is correct even in the situation in which the electronic excitation spectrum has considerable width and structure so that one might not expect a priori that there would be well defined quasiparticles.
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