The effect of particle identity on a new type of weak localization

Orlenko, E. V.; Rumyantsev, V. V.

doi:10.1088/0953-8984/7/18/019

Cited by 10 publications

(10 citation statements)

References 3 publications

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“…Neglecting exchange effects, in the resulting expression (17), both braand ketvectors become non symmetric, and we obtain the well-known result obtained in [25][26][27]. In contrast to the usual weak localization, one of the crossed lines in the new type of weak localization corresponds to inelastic scattering, while the others correspond to elastic interaction with randomly distributed power centers.…”

Section: Probability Of Plasmon Emission With Atom Excitation and Ele...supporting

confidence: 76%

“…Taking into account the principle of indistinguishability of electrons in a beam and a medium, as was shown for a neutral atomic medium [26], but also takes place in a solid, this shifts the scattering enhancement to the parameters of an ordinary weak localization. As it is shown in [26], the scattering intensity includes the electron exchange terms varying directly as cosχ, where χ is a scattering angle. The expression for intensity contains two main terms, the first one is specific for the new weak localization, and the exchange interaction here contributes as an increasing pre-factor.…”

Section: Introductionmentioning

confidence: 88%

“…It was shown in [24][25][26] that the angular dependence characteristic of a new weak localization arises due to the term in the integrand, which describes the contribution of the interference of two electron waves propagating along the same path in opposite directions:…”

Section: Probability Of Plasmon Emission With Atom Excitation and Ele...mentioning

confidence: 99%

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Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Orlenko

2020

Symmetry

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A non-Anderson weak localization of an electron beam scattered from disordered matter is considered with respect to the principle of electron indistinguishability. A weak localization of electrons of a new type is essentially associated with inelastic processing. The origin of inelasticity is not essential. We take into account the identity principle for electron beam and electrons of the atom of the scatterer with an open shell. In spite of isotropic scattering by each individual scatterer, the electron exchange contribution has a hidden parameters effect on the resulting angular dependence of the scattering cross-section. In this case, the electrons of the open shell of an atomic scatterer can be in the s-state, that is, the atomic shell remains spherically symmetric. The methods of an invariant time-dependent exchange perturbation theory and a Green functions with exchange were applied. An additional angular dependence of the scattering cross-section appears during the coherent scattering process. It is shown exactly for the helium scatterer that the role of exchange effects in the case of a singlet is negligible, while for the triplet state, it is decisive, especially for those values of the energy of incident electrons when de Broglie’s waves are commensurate with the atomic.

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Section: Probability Of Plasmon Emission With Atom Excitation and Ele...supporting

confidence: 76%

Section: Introductionmentioning

confidence: 88%

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Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Orlenko

2020

Symmetry

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“…As a consequence, the method is effective when applied to simple systems. This explains why every given problem of a scattering event is solved by applying an ad hoc approach, as for example shown in works [5][6][7]. In the text-book by Davydov [2], one finds a detailed discussion problem of particles collision summarized by the conclusion that a general theoretical approach to address collision problems is required.…”

Section: Introductionmentioning

confidence: 99%

Invariant time-dependent exchange perturbation theory and its application to the particles collision problem

Orlenko¹,

Latychevskaia²,

Evstafev³

et al. 2015

9th Congress on Electronic Structure: Principles and Applications (ESPA 2014)

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We present the formalism of Time-dependent Exchange Perturbation Theory (TDEPT) built to all orders of perturbation, for the arbitrary time dependency of perturbation. The theory takes into account the rearrangement of electrons among centres. We show how the formalism can be reduced to the standard form of invariant perturbation theory by "switching off" the re-arrangement of electrons among centres. The elements of the scattering S-matrix and transitions T-matrix and the formula for the electron scattering differential cross section are derived. The application of the theory to scattering and collision problems is discussed. As an example, we apply the theory to proton scattering on a Lithium atom, calculating the differential and total cross-sections.

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“…The case of the ratio / (1 (where is the particle collision frequency and is the particle energy loss) has been considered in [37][38][39]. Recently, the opposite limiting case / '1, that is closer to the usual weak localization (i.e.…”

Section: Introductionmentioning

confidence: 99%

Nature of coherent enhancement of inelastic electron scattering from disordered media

Rumyantsev¹,

Orlenko²,

Libenson³

1997

Z. Phys. B - Condensed Matter

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The mechanism of weak localization of relatively fast electrons scattered with a fixed energy loss from disordered media is examined. The main focus of this paper is to put forward an explanation for why coherent enhancement of electron scattering in the inelastic-scattering channel takes place at angles which differ from . A simplified kinematic model is proposed to determine the basic properties of the weak localization of electrons in the inelastic scattering channel. The model easily reproduces the range of scattering angles typical for the weak localization of electrons with fixed energy loss. The procedure does not require calculation of the contribution from the crossed diagrams. The results agree with those based on the dynamical theory associated with the calculation of the crossed and ladder diagrams. It is possible to follow the transition from the weak localization of the new type to the ordinary weak localization with decreasing energy loss. The weak localization of the new type is in accord with the weak localization of regular type if the energy loss is about the energy of an optical phonon.

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The effect of particle identity on a new type of weak localization

Abstract: In this paper. weak lonlivtion of a new kind is studied. Within the hamework of the new developing theory, electron exchange is shown to alter the angular distribution of scattered elecbons. The nnge of energies of incident el@" for which exchange effects are important is estimated.

Cited by 10 publications

References 3 publications

Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Invariant time-dependent exchange perturbation theory and its application to the particles collision problem

Nature of coherent enhancement of inelastic electron scattering from disordered media

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