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We review here some universal aspects of the physics of two-electron molecular transistors in the absence of strong spin-orbit effects. Several recent quantum dots experiments have shown that an electrostatic backgate could be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Serge Florens , Axel Freyn , Nicolas Roch , Wolfgang Wernsdorfer , Franck Balestro , Pablo Roura-Bas , A. A. Aligia

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 A. A. Vasilchenko

We study some aspects of the quantum theory of a charged particle moving in a time-independent, uni-directional magnetic field. When the field is uniform, we make a few clarifying remarks on the use of angular momentum eigenstates and…

High Energy Physics - Theory · Physics 2009-11-10 A. Das , J. Frenkel , S. H. Pereira , J. C. Taylor

We investigate the effects of impurities and changing ring geometry on the energetics of quantum rings under different magnetic field strengths. We show that as the magnetic field and/or the electron number are/is increased, both the…

Strongly Correlated Electrons · Physics 2007-05-23 M. Aichinger , S. A. Chin , E. Krotscheck , E. Rasanen

The quantum Hall effect arises from the interplay between localized and extended states that form when electrons, confined to two dimensions, are subject to a perpendicular magnetic field. The effect involves exact quantization of all the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Ilani , J. Martin , E. Teitelbaum , J. H. Smet , D. Mahalu , V. Umansky , A. Yacoby

The electron and hole states in a CdTe quantum dot containing a single magnetic impurity in an external magnetic field are investigated, using the multiband approximation which includes the heavy hole-light hole coupling effects. The…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Aram Manaselyan , Tapash Chakraborty

We study the low energy states of finite spin chains with isotropic (Heisenberg) and anisotropic (XY and Ising-like) exchange interaction with uniform and non-uniform coupling constants. We show that for an odd number of sites a spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Florian Meier , Jeremy Levy , Daniel Loss

We show that the energy splitting between the bonding and antibonding molecular states of holes in vertically stacked quantum dots can be tuned using longitudinal magnetic fields. With increasing field, the energy splitting first decreases…

Mesoscale and Nanoscale Physics · Physics 2008-12-04 Juan I. Climente

Critical phenomena involve a structural change in the correlations of its constituents. These features can be employed in quantum simulators to assess when a criticality occurred in medium-size systems, for which phase transitions are not…

Quantum Physics · Physics 2014-11-27 Adeline Orieux , Joelle Boutari , Marco Barbieri , Mauro Paternostro , Paolo Mataloni

We analize theoretically the dynamics of N electrons localized in a semiconductor quantum ring under a train of phase-locked infrared laser pulses. The pulse sequence is designed to control the total angular momentum of the electrons. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy V Pershin , Carlo Piermarocchi

The synthesis of molecular magnets has undergone rapid progress in recent years. Each of the identical molecular units can contain as few as two and up to several dozens of paramagnetic ions (spins). Although these materials appear as…

Strongly Correlated Electrons · Physics 2009-11-11 J. Schnack

Coherent resonant tunneling through an artificial molecule of quantum dots in an inhomogeneous magnetic field is investigated using an extended Hubbard model. Both the multiterminal conductance of an array of quantum dots and the persistent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. A. Stafford , R. Kotlyar , S. Das Sarma

The total energy of a quasi-one-dimensional electron system is calculated using density functional theory. It is shown that spontaneous ferromagnetic state in quantum wire occurs at low one-dimensional electron density. The critical…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 A. A. Vasilchenko

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Struck , Bernhard Kramer

We study the quantum dynamics of polygonal rare-earth molecular clusters with Ising-type ion magnetization. It is shown that the ground state of such systems is a non-magnetic quasi-doublet of states with oppositely twisted ion spins. The…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 D. I. Plokhov , A. I. Popov , A. K. Zvezdin

We investigate the properties of a two-dimensional quantum ring under rotating and external magnetic field effects. We initially analyse the Landau levels and inertial effects on them. Among the results obtained, we emphasize that the…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Luís Fernando C. Pereira , Edilberto O. Silva

Artificial molecules containing just one or two electrons provide a powerful platform for studies of orbital and spin quantum dynamics in nanoscale devices. A well-known example of these dynamics is tunneling of electrons between two…

We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

Solving the quantum-mechanical many-body problem requires scalable computational approaches, which are rooted in a good understanding of the physics of correlated electronic systems. Interacting electrons in a magnetic field display a huge…

Mesoscale and Nanoscale Physics · Physics 2013-07-01 Tobias Kramer

The ground state and the dielectric response of stacked quantum rings are investigated in the presence of an applied magnetic field along the ring axis. For odd number $N$ of rings and an electric field perpendicular to the axis, a linear…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kang-Hun Ahn , Peter Fulde