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A relativistic theory of the Zeeman splitting of hyperfine levels in two-fermion systems is presented. The approach is based on the variational equation for bound states derived from quantum electrodynamics [1]. Relativistic corrections to…

High Energy Physics - Phenomenology · Physics 2008-05-27 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

The magnetization of semiconductor quantum dots in the presence of spin-orbit coupling and interactions is investigated numerically. When the dot is occupied by two electrons we find that a level crossing between the two lowest many-body…

Strongly Correlated Electrons · Physics 2011-01-20 Yuval Weiss , Moshe Goldstein , Richard Berkovits

The two-loop self-energy correction to the bound-electron $g$-factor in hydrogenlike ions is investigated, taking into account the electron-nucleus interaction exactly. This all-order calculation is required to improve the total theoretical…

Atomic Physics · Physics 2025-05-01 Bastian Sikora , Vladimir A. Yerokhin , Christoph H. Keitel , Zoltán Harman

The spin splitting of conduction band electrons in inversion-asymmetric InGaAs/InP quantum wells is studied by Shubnikov-de Haas measurements combining the analysis of beating patterns and coincidence measurements in doubly tilted magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 F. Herzog , H. Hardtdegen , Th. Schaepers , D. Grundler , M. A. Wilde

Crystal-phase low-dimensional structures offer great potential for the implementation of photonic devices of interest for quantum information processing. In this context, unveiling the fundamental parameters of the crystal phase structure…

We present a quantum logic scheme to detect atomic and molecular ions in different states of angular momentum based on their magnetic $g$-factors. The state-dependent magnetic $g$-factors mean that electronic, rotational or hyperfine states…

Atomic Physics · Physics 2016-10-17 Huanqian Loh , Shiqian Ding , Roland Hablutzel , Gleb Maslennikov , Dzmitry Matsukevich

In the presence of both spin-orbit scattering and a magnetic field the conductance of a chaotic GaAs quantum dot displays quite a rich behavior. Using a Hamiltonian derived by Aleiner and Falko [Phys. Rev. Lett. 87, 256801 (2001)] we…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jan-Hein Cremers , Piet W. Brouwer , Vladimir I. Falko

We analyze the effective $g^*$ factors and their dependence on the orientation of the external magnetic field for a quantum point contact defined in the two-dimensional electron gas. The paper simulates the experimental procedure for…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

We study the interaction corrections to the transport coefficients in open quantum dots (i.e. dots connected to leads of large conductance $G \gg e^2/\pi\hbar$), via a quantum kinetic equation approach. The effects of all the channels of…

Mesoscale and Nanoscale Physics · Physics 2008-09-25 Y. Ahmadian , G. Catelani , I. L. Aleiner

We study avoided crossings opened by spin-orbit interaction in the energy spectra of one- and two-electron anisotropic quantum dots in perpendicular magnetic field. We find that for simultaneously present Rashba and Dresselhaus interactions…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. P. Nowak , B. Szafran

We propose to accurately determine the orbital magnetic moment of the electron by measuring, in a Magneto-Optical or Ion trap, the ratio of the Lande g-factors in two atomic states. From the measurement of (gJ1/gJ2), the quantity A, which…

Atomic Physics · Physics 2015-06-01 A. M. Awobode

We provide a systematic quantitative description of spin polarization in armchair and zigzag graphene nanoribbons in a perpendicular magnetic field. We first address spinless electrons within the Hartree approximation studying the evolution…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 S. Ihnatsenka , I. V. Zozoulenko

Silicon hole quantum dots have been the subject of considerable attention thanks to their strong spin-orbit coupling enabling electrical control. The physics of silicon holes is qualitatively different from germanium holes and requires a…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Zhanning Wang , Abhikbrata Sarkar , S. D. Liles , Andre Saraiva , A. S. Dzurak , A. R. Hamilton , Dimitrie Culcer

We study the spin-spin coupling between two single-electron quantum dots due to the Coulomb and spin-orbit interactions, in the absence of tunneling between the dots. We find an anisotropic XY spin-spin interaction that is proportional to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mircea Trif , Vitaly N. Golovach , Daniel Loss

The activation gap $\Delta$ of the fractional quantum Hall states at constant fillings $\nu =2/3$ and 2/5 has been measured as a function of the perpendicular magnetic field $B$. A linear dependence of $\Delta$ on $B$ is observed while…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Schulze-Wischeler , E. Mariani , F. Hohls , R. J. Haug

Using an exact diagonalization approach we show that one- and two-electron InAs quantum dots exhibit avoided crossing in the energy spectra that are induced by the spin-orbit coupling in the presence of an in-plane external magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2011-07-01 M. P. Nowak , B. Szafran , F. M. Peeters , B. Partoens , W. Pasek

In zero magnetic field, conductance measurements of clean one-dimensional (1D) constrictions defined in GaAs/AlGaAs heterostructures show twenty-six quantized ballistic plateaux, as well as a structure close to $0.7(2e^2/h)$. In an in-plane…

Condensed Matter · Physics 2009-10-28 K. J. Thomas , J. T. Nicholls , M. Y. Simmons , M. Pepper , D. R. Mace , D. A. Ritchie

We study theoretically cubic anisotropy of Zeeman splitting of a hole localized in semiconductor nanocrystal. This anisotropy originates from three contributions: crystallographic cubically-symmetric spin and kinetic energy terms in the…

Mesoscale and Nanoscale Physics · Physics 2023-10-25 M. A. Semina , A. A. Golovatenko , A. V. Rodina

We report on a Kondo correlated quantum dot connected to two-dimensional leads where we demonstrate the renormalization of the g-factor in the pure Zeeman case i.e, for magnetic fields parallel to the plane of the quantum dot. For the same…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 A. W. Heine , D. Tutuc , G. Zwicknagl , R. J. Haug

Spin-flips are one of the limiting factors for spin-based information processing. We demonstrate a transport approach for determining the spin-flip rates of a self-assembled InAs double quantum dot occupied by a single electron. In such…

Mesoscale and Nanoscale Physics · Physics 2024-03-18 Olfa Dani , Robert Hussein , Johannes C. Bayer , Klaus Pierz , Sigmund Kohler , Rolf J. Haug