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We investigate the combined effect of spin-orbit scattering and electron-electron interactions on the probability distribution of $g$-factors of metal nanoparticles. Using random matrix theory, we find that even a relatively small…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Denis A. Gorokhov , Piet W. Brouwer

The effects of spin-orbit scattering on discrete electronic energy levels are studied in copper, silver, and gold nanoparticles. Level-to-level fluctuations of the effective $g$-factor for Zeeman splitting are characterized, and the…

Mesoscale and Nanoscale Physics · Physics 2012-10-19 J. R. Petta , D. C. Ralph

The presence of spin-orbit scattering within an aluminum nanoparticle affects measurements of the discrete energy levels within the particle by (1) reducing the effective g-factor below the free-electron value of 2, (2) causing avoided…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. G. Salinas , S. Guéron , D. C. Ralph , C. T. Black , M. Tinkham

Discrete energy levels of ultrasmall metallic grains are extracted in single-electron-tunneling-spectroscopy experiments. We study the response of these energy levels to an external magnetic field in the presence of both spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Konstantin N. Nesterov , Y. Alhassid

We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

We establish relations between the statistics of g factors and the fluctuations of energy in metallic nanoparticles where spin-orbit coupling is present. These relations assume that the electron dynamics in the grain is chaotic. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eduardo R. Mucciolo , Caio H. Lewenkopf , Leonid I. Glazman

Spin-orbit scattering suppresses Zeeman splitting of individual energy levels in small metal particles. This suppression becomes significant when the spin-orbit scattering rate \tau_{so}^{-1} is comparable with the quantum level spacing…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. A. Matveev , L. I. Glazman , A. I. Larkin

The impacts of both exchange interaction and electron correlation, as well as their combined impact, on electron elastic scattering off a semifilled shell Mn(...$3d^{5}$$4s^{2}$, $^{6}S$) atom are theoretically studied in the electron…

Atomic Physics · Physics 2013-08-15 V. K. Dolmatov , M. Ya. Amusia , L. V. Chernysheva

We present a theoretical study of the mesoscopic fluctuations of $g$-tensors in a metal nanoparticle. The calculations were performed using a semi-realistic tight-binding model, which contains both spin and orbital contributions to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Cehovin , C. M. Canali , A. H. MacDonald

We review interaction effects in chaotic metallic nanoparticles. Their single-particle Hamiltonian is described by the proper random-matrix ensemble while the dominant interaction terms are invariants under a change of the single-particle…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Y. Alhassid , K. N. Nesterov

Electron-electron interactions play a critical role in many condensed matter phenomena, and it is tempting to find a way to control them by changing the interactions' strength. One possible approach is to place a studied system in proximity…

The single-particle and interaction effects on the cohesion, electronic transport, and some magnetic properties of metallic nanocylinders have been studied at finite voltages by using a generalized mean-field electron model. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. -H. Zhang

Electron elastic scattering off a spin-polarized Cr(...$3d^{5}4s^{1}$, $^{7}S$) atom is theoretically studied in the region of electron energies up to $15$ eV using both a one-electron "spin-polarized" Hartree-Fock and multielectron…

Atomic Physics · Physics 2015-06-22 V. K. Dolmatov , M. Ya. Amusia , L. V. Chernysheva

The Knight shift of nuclear magnetic resonance is an experimental probe of the paramagnetic spin susceptibility in metals. Information about the electron pairing in superconductors can be extracted from the Knight shift in the small-sized…

Superconductivity · Physics 2025-02-26 Serguei N. Burmistrov

This work aims to study theoretically the electron-proton scattering for initially spin-polarized electrons in the presence of a circularly polarized electromagnetic field. Using the first Born approximation and the Dirac-Volkov states for…

High Energy Physics - Phenomenology · Physics 2022-07-13 I. Dahiri , M. Baouahi , M. Jakha , S. Mouslih , B. Manaut , S. Taj

We investigate the possibility of electron pairing in small metallic nanoparticles at zero temperature. In these particles both electrons and phonons are mesoscopic, i.e. modified by the nanoparticle's finite size. The electrons, the…

Superconductivity · Physics 2011-08-30 Ze'ev Lindenfeld , Eli Eisenberg , Ron Lifshitz

The paper reports on a study of electron-phonon interaction within a limited nanosized region. We invoked the modified Fr\"{o}hlich's Hamiltonian to calculate the electron self-energy, as well as the elastic and inelastic scattering cross…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 K. V. Reich

A model describing spin-polarized current via discrete energy levels of a metallic nanoparticle, which has strongly asymmetric tunnel contacts to two ferromagnetic leads, is presented. In absence of spin-relaxation, the model leads to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. G. Wei , C. E. Malec , D. Davidović

The electron-electron scattering rate of single particle excitations in atoms is estimated and compared with the corresponding rate in quantum dots. It is found that in alkali atoms single particle excitations do not acquire a width due to…

Condensed Matter · Physics 2009-10-31 Kinneret Keren , Ady Stern , Uri Sivan

We report the first systematic measurements of the Raman scattering by electrons in elemental metals of Al, Mo, Nb, Os, Pb, Re, Ta, Ti, V, W and metallic compound La$B_6$. Experimental spectra are modelled on the base of the band…

Strongly Correlated Electrons · Physics 2012-08-09 Yu. S. Ponosov , S. V. Streltsov
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