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Charge Distribution in Double Quantum Dot
P. Fulde,Nguyen Van Hieu,Le Viet Du Khuong,Nguyen Bich Ha 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.52 No.5
The charge distribution in multidot systems with the electron tunneling between them as well as the Coulomb interaction of electrons in the presence of the bias voltage applied to the gates of the quantum dots (QDs) are studied theoretically. The analytical expressions of the electron occupation numbers - the time-averaged expectation values of the electron number operators in the QDs are derived exactly. They depend on the physical parameters of the QDs, the effective coupling constant of the electron tunneling between the QDs, the temperature and the bias voltage applied to the gates of QDs. The measurement of these electron occupation numbers would be a practical method for the determination of the effective coupling constant of the electron tunneling and other physical parameters of the system. The charge distribution in multidot systems with the electron tunneling between them as well as the Coulomb interaction of electrons in the presence of the bias voltage applied to the gates of the quantum dots (QDs) are studied theoretically. The analytical expressions of the electron occupation numbers - the time-averaged expectation values of the electron number operators in the QDs are derived exactly. They depend on the physical parameters of the QDs, the effective coupling constant of the electron tunneling between the QDs, the temperature and the bias voltage applied to the gates of QDs. The measurement of these electron occupation numbers would be a practical method for the determination of the effective coupling constant of the electron tunneling and other physical parameters of the system.
WORLD SCIENTIFIC 2010 MODERN PHYSICS LETTERS B Vol.24 No.26
<P>An overview is given of a number of pair-breaking interactions in superconductors. They have in common that they violate a symmetry of the pair state. In most cases pairs are formed from time reversed single-particle states, a noticeable exception being antiferromagnetic superconductors. When time reversibility is broken by an interaction acting on the electrons, the time evolution of the time-reversal operator plays an important role. Depending on whether it is nonergodic or ergodic, we deal with pair weakening or pair breaking. Numerous different interactions are analyzed and discussed. Unifying features of different pair-breaking cases are pointed out. Special attention is paid to the Zeeman effect and to scattering centers with low-energy excitations. The Kondo effect and crystalline field split rare-earth ions belong in that category. Modifications caused by strongly anisotropic pair states are pointed out. There is strong evidence that in some cases intra-atomic excitations lead to pair formation rather than pair breaking for which an explanation is provided</P>
Hozoi, L.,Gretarsson, H.,Clancy, J. P.,Jeon, B.-G.,Lee, B.,Kim, K. H.,Yushankhai, V.,Fulde, Peter,Casa, D.,Gog, T.,Kim, Jungho,Said, A. H.,Upton, M. H.,Kim, Young-June,van den Brink, Jeroen American Physical Society 2014 Physical review. B, Condensed matter and materials Vol.89 No.11
In the search for topological phases in correlated electron systems, materials with 5d transition-metal ions, in particular the iridium-based pyrochlores A2Ir2O7, provide fertile grounds. Several topological states have been predicted but the actual realization of such states is believed to critically depend on the strength of local potentials arising from distortions of the IrO6 cages. We test this hypothesis by measuring with resonant inelastic x-ray scattering the electronic level splittings in the A = Y, Eu systems, which we show to agree very well with ab initio quantum chemistry electronic-structure calculations for the series of materials with A = Sm, Eu, Lu, and Y. We find, however, that the primary source for quenching the spin-orbit interaction is not a distortion of the IrO6 octahedra but longer-range lattice anisotropies which inevitably break the local cubic symmetry.