Local Geometry of the Fermi Surface

Zimbovskaya, Nataliya A.

doi:10.1007/978-1-4613-0193-6

Cited by 17 publications

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“…Here we accomplish the relation by ascribing also the steady diamagnetism to the Fermi surface states. The leading role of the Fermi surface in diamagnetism is in accord with the other properties of conduction electrons (for example, the Pauli paramagnetism) which also depend on the peculiarities of electron states near the Fermi energy [28]. Second, the presented method can be applied to ab initio calculations of the steady diamagnetic susceptibility of real metals.…”

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confidence: 56%

Landau diamagnetic response in metals as a Fermi surface effect

Николаев

2018

Phys. Rev. B

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It is demonstrated that the Landau diamagnetism of the free electron gas and a monovalent metal can be considered as a Fermi surface effect. Only a relatively small number of electron states close to the Fermi surface are diamagnetically active whereas the majority of the electron states inside the Fermi surface are diamagnetically inert. This partitioning of the occupied electron states is driven by the structure of Landau levels, around which one can introduce magnetic tubes in the reciprocal space. Completely filled magnetic tubes do not change their energy in an applied magnetic field, and only partially occupied magnetic tubes in the neighborhood of the Fermi surface exhibit a diamagnetic response. Using this partitioning of the occupied electron states we derive a general expression for the steady diamagnetic susceptibility, for calculation of which one needs to know the shape of the Fermi surface and the energy gradient on it. The method is applied to alkali metals, whose Fermi surfaces and energy gradients have been obtained from ab initio band structure calculations. It has been found that the Landau diamagnetic susceptibility is anisotropic depending on the direction of the applied magnetic field with respect to the Fermi surface. This effect is more pronounced for Li and Cs, whose Fermi surfaces show a noticeable deformation from the spherical shape. The method opens a new route for ab initio calculations of the Landau diamagnetism of metals or intermetallic compounds. In the case of free electron gas it is shown that this approach also fully describes the oscillatory de Haas -van Alphen part of the diamagnetic susceptibility. Small oscillations of the Fermi energy found in the model are caused by redistribution (inflow or outflow) of electrons from the equatorial region of the Fermi surface.

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confidence: 56%

Landau diamagnetic response in metals as a Fermi surface effect

Николаев

2018

Phys. Rev. B

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“…as well as an equation from the theory of elasticity that takes account of the contribution of the force f e exerted by the electrons on the vibrating lattice [11,12]:…”

Section: Theoretical Analysismentioning

confidence: 99%

Electron sound in metals

Avramenko

Bezuglyĭ

Burma

et al. 2009

Low Temperature Physics

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This paper is devoted to the investigation of electron sound -- oscillations of the electron distribution function coupled with elastic deformation and propagating with the Fermi velocity. The amplitude-phase relations characterizing the behavior of the electron sound in Ga single crystals are determined experimentally. A model problem of excitation of electron sound in a compensated metal with equivalent bands is solved for a finite sample with diffusive scattering of electrons at the interfaces. It was found that the displacement amplitude of the receiving interface is two orders of magnitude larger than the elastic amplitude of the wave due to electron pressure. It was established that the changes occurring in the amplitude and phase of the electron sound waves at a superconducting transition do not depend on the path traversed by the wave, i.e. they refer only to the behavior of the transformation coefficient.Comment: 11 pages, 11 figure

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“…4. Also, basing on the results of the previous works [5,15] we may analyze the temperature dependence of the electron transmission function assuming that the bridge between 11), ( 25)). Dashed line is plotted assuming that the bridge is directly coupled to the phonons (Eq.…”

Section: Model and Resultsmentioning

confidence: 99%

“…3. Also, based on the results of the previous works, 5,15 we may analyze the temperature dependence of the electron transmission function assuming that the bridge between two adjacent grains is directly coupled to the phonon bath. 2 Consequently, ⌬ L,R take on values much smaller than those typical for electron transport through molecules placed between metal leads.…”

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confidence: 99%

“…This erodes the peak in the electron transmission corresponding to the electron tunneling through the bridge. Nevertheless, estimations made in the recent work [15] give grounds to believe that the peak could be still rather well pronounced under typical conditions of experiments on the electrical characterization of conducting polymer nanofibers.…”

Section: Introductionmentioning

confidence: 96%

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On the dissipative effects in the electron transport through conducting polymer nanofibers

Zimbovskaya

2007

The Journal of Chemical Physics

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Here, the author studies the effects of stochastic nuclear motions on the electron transport in doped polymer fibers assuming the conducting state of the material. The author treats conducting polymers as granular metals and applies the quantum theory of conduction in mesoscopic systems to describe the electron transport between metalliclike granules. To analyze the effects of nuclear motions, the author mimics them by a phonon bath and includes electron-phonon interactions in consideration. The results show that the phonon bath plays a crucial part in the intergrain electron transport at moderately low and room temperatures, suppressing the original intermediate state for the resonance electron tunneling and producing new states which support the electron transport. Also, the temperature dependence of the magnitudes of the peaks in the electron transmission corresponding to these new states is analyzed.

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Local Geometry of the Fermi Surface

Abstract: Local geometry of the Fermi surface: and high-frequency phenomena in metals I Natallya A. Zimbovskaya.p. cm. 1ncludes bibliographical references and index.

Cited by 17 publications

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Landau diamagnetic response in metals as a Fermi surface effect

Landau diamagnetic response in metals as a Fermi surface effect

Electron sound in metals

On the dissipative effects in the electron transport through conducting polymer nanofibers

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