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We obtain by invariance arguments the relativistic and non-relativistic invariant dynamical equations of a classical model of a spinning electron. We apply the formalism to a particular classical model which satisfies Dirac's equation when…

经典物理 · 物理学 2008-11-26 Martin Rivas

A quasi-one-dimensional quantum dot containing two interacting electrons is analyzed in search of signatures of chaos. The two-electron energy spectrum is obtained by diagonalization of the Hamiltonian including the exact Coulomb…

介观与纳米尺度物理 · 物理学 2009-10-31 A. J. Fendrik , M. J. Sánchez , P. I. Tamborenea

We study a model of two concentric onedimensional rings with incommensurate areas $A_1$ and $A_2$, in a constant magnetic field. The two rings are coupled by a nonhomogeneous inter-ring tunneling amplitude, which makes the one-particle…

介观与纳米尺度物理 · 物理学 2009-10-28 C. M. Canali , W. Stephan , L. Y. Gorelik , R. I. Shekhter , M. Jonson

We found analytical solution for the time evolution of localized electron density in a system of two coupled single-level quantum dots (QDs) connected with continuous spectrum states in the presence of Coulomb interaction. This solution…

介观与纳米尺度物理 · 物理学 2013-12-30 P. I. Arseev , N. S. Maslova , V. N. Mantsevich

In this work we develop a general formalism that categorizes the action of broken scale invariance on the non-equilibrium dynamics of non-relativistic quantum systems. This approach is equally applicable to both strongly and weakly…

量子气体 · 物理学 2018-07-11 Jeff Maki , Li-Ming Zhao , Fei Zhou

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

化学物理 · 物理学 2022-05-16 Jerry L. Whitten

The classical dynamics of two electrons in the Coulomb potential of an attractive nucleus is chaotic in large parts of the high-dimensional phase space. Quantum spectra of two-electron atoms, however, exhibit structures which clearly hint…

混沌动力学 · 物理学 2009-11-10 Min-Ho Lee , Gregor Tanner , Nark Nyul Choi

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

介观与纳米尺度物理 · 物理学 2009-10-31 Bodo Huckestein , Michael Backhaus

We study the effects of electron-electron interaction on the critical properties of the plateau transitions in the {\it integer} quantum Hall effect. We find the renormalization group dimension associated with short-range interactions to be…

凝聚态物理 · 物理学 2009-10-28 Dung-Hai Lee , Ziqiang Wang

The coupled nonlinear coordinate and spin dynamics of an electron in a double quantum dot with spin-orbit interaction is studied semiclassically. The system is driven by an electric field with the frequency matching the orbital or the…

介观与纳米尺度物理 · 物理学 2009-06-29 D. V. Khomitsky , E. Ya. Sherman

The dynamical properties and diffusive behavior of a collection of mutually interacting particles are numerically investigated for two types of long-range interparticle interactions: Coulomb-electrostatic and dipole-electrodynamic. It is…

We study the two-electron eigenspectrum of a carbon-nanotube double quantum dot with spin-orbit coupling. Exact calculation are combined with a simple model to provide an intuitive and accurate description of single-particle and interaction…

介观与纳米尺度物理 · 物理学 2015-05-19 J. von Stecher , B. Wunsch , M. Lukin , E. Demler , A. M. Rey

In singlet two-electron systems the natural occupation numbers of the one-particle reduced density matrix are given as squares of the natural amplitudes which are defined as the expansion coefficients of the two-electron wave function in a…

原子物理 · 物理学 2013-09-13 Klaas J. H. Giesbertz , Robert van Leeuwen

We analyze the dynamics of a single-level quantum dot with Coulomb interaction, weakly tunnel coupled to an electronic reservoir, after it has been brought out of equilibrium, e.g. by a step-pulse potential. We investigate the exponential…

介观与纳米尺度物理 · 物理学 2015-06-03 L. Debora Contreras-Pulido , Janine Splettstoesser , Michele Governale , Jürgen König , Markus Büttiker

The magnetic and non-magnetic ground states of the periodic Anderson model with Coulomb interaction between $f$-electrons on the nearest-neighbour(NN) sites are investigated using a variational method, which gives exact calculation of the…

强关联电子 · 物理学 2009-10-30 Sushil Lamba , R. Kishore , S. K. Joshi

We have proposed a simple one-dimensional model of internal particle dynamics. The model is based on the assumption that self-interaction can be represented by a nonlinear feedback and described by a quadratic recurrent map. Charge plays…

混沌动力学 · 物理学 2007-05-23 Vladimir A. Manasson

We determine the contributions from the direct Coulomb and exchange interactions to the total interaction in semiconductor artificial atoms. We tune the relative strengths of the two interactions and measure them as a function of the number…

介观与纳米尺度物理 · 物理学 2009-10-31 S. Tarucha , D. G. Austing , Y. Tokura , W. G. van der Wiel , L. P. Kouwenhoven

We present a detailed theoretical investigation of the effect of Coulomb interactions on electron transport through quantum dots and double barrier structures connected to a voltage source via an arbitrary linear impedance. Combining real…

介观与纳米尺度物理 · 物理学 2013-05-29 Dmitri S. Golubev , Andrei D. Zaikin

We analyze the effects of electron-electron and electron-phonon interactions in the dynamics of a system of two or three electrons that can be trapped to a localized state and detrapped to ab extended band states of a quantum dot using a…

介观与纳米尺度物理 · 物理学 2025-12-11 R. Carmina Monreal

A scaling theory is used to study the low energy physics of electron-electron interactions in a double quantum dot. We show that the fact that electrons are delocalized over two quantum dots does not affect the instability criterion for the…

介观与纳米尺度物理 · 物理学 2009-11-10 Shaffique Adam , Piet W. Brouwer , Prashant Sharma
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