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One can confine the two-dimensional electron gas in semiconductor heterostructures electrostatically or by etching techniques such that a small electron island is formed. These man-made ``artificial atoms'' provide the experimental…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Koskinen , M. Manninen , B. Mottelson , S. M. Reimann

We investigate a system of three tunnel-coupled semiconductor quantum dots in a triangular geometry, one of which is connected to a metallic lead, in the regime where each dot is essentially singly occupied. Both ferro- and…

Strongly Correlated Electrons · Physics 2015-12-22 Andrew K. Mitchell , Thomas F. Jarrold , David E. Logan

We review and extend the composite fermion theory for semiconductor quantum dots in high magnetic fields. The mean-field model of composite fermions is unsatisfactory for the qualitative physics at high angular momenta. Extensive numerical…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

A brief review of theory of ferromagnetism of dilute magnetic semiconductors of the form (A,Mn)B based on the double exchange model is first given. A systematic investigation of the phenomena extending the current theory is outlined. We…

Strongly Correlated Electrons · Physics 2017-02-08 A. K. Rajagopal , Mogus Mochena , P. J. Lin-Chung

We study quantum states of electrons in magnetically doped quantum dots as a function of exchange coupling between electron and impurity spins, the strength of Coulomb interaction, confining potential, and the number of electrons. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ramin M. Abolfath , Pawel Hawrylak , Igor Zutic

Coupled semiconductor quantum dots form artificial molecules where relevant energy scales controlling the interacting ground state can be easily tuned. By applying an external magnetic field it is possible to drive the system from a weak to…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 Massimo Rontani , Guido Goldoni , Elisa Molinari

The phase diagram of diluted magnetic semiconductor quantum wells is investigated. The interaction between the carriers in the hole gas can lead to first order ferromagnetic transitions, which remain abrupt in applied fields. These…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Brey , F. Guinea

A model for quantum dots is proposed, in which the motion of a few electrons in a three-dimensional harmonic oscillator potential under the influence of a homogeneous magnetic field of arbitrary direction is studied. The spectrum and the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 W. D. Heiss , R. G. Nazmitdinov

Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

Quantum dots are small conductive regions in a semiconductor, containing a variable number of electrons (N=1 to 1000) that occupy well defined discrete quantum states. They are often referred to as artificial atoms with the unique property…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. H. Oosterkamp , T. Fujisawa , W. G. van der Wiel , K. Ishibashi , R. V. Hijman , S. Tarucha , L. P. Kouwenhoven

We present an Anderson-type model Hamiltonian with exchange coupling between the localized spins and the confined holes in the quantum dots to study the ferromagnetism in diluted magnetic semiconductor (DMS) quantum dot arrays embedded in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Pin Lyu , Kyungsun Moon

We present a theoretical study of magnetic field driven spin transitions of electrons in coupled lateral quantum dot molecules. A detailed numerical study of spin phases of artificial molecules composed of two laterally coupled quantum dots…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ramin M. Abolfath , Pawel Hawrylak

Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 C. J. van Diepen , T. -K. Hsiao , U. Mukhopadhyay , C. Reichl , W. Wegscheider , L. M. K. Vandersypen

The transport through a quantum wire exposed to two magnetic spikes in series is modeled. We demonstrate that quantum dots can be formed this way which couple to the leads via magnetic barriers. Conceptually, all quantum dot states are…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

It has been demonstrated that small plaquettes of quantum dot spin qubits are capable of simulating condensed matter phenomena which arise from the Hubbard model, such as the collective Coulomb blockade and Nagaoka ferromagnetism. Motivated…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 Donovan Buterakos , Sankar Das Sarma

In a diluted magnetic semiconductor system, the exchange interaction between magnetic impurities has two independent components: a direct antiferromagnetic interaction and a ferromagnetic interaction mediated by charge carriers. Depending…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Kaminski , Victor Galitski , S. Das Sarma

Magnetic insulators have proved to be fertile ground for studying new types of quantum many body states, and I survey recent experimental and theoretical examples. The insights and methods transfer also to novel superconducting and metallic…

Strongly Correlated Electrons · Physics 2008-03-09 Subir Sachdev

We study magnetism in magnetically doped quantum dots as a function of confining potential, particle numbers, temperature, and strength of Coulomb interactions. We explore possibility of tailoring magnetism by controlling the…

Materials Science · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak , Igor Zutic

Magnetic properties of two and three-dimensional clusters of quantum dots are studied with exact diagonalization of a generalized Hubbard model. We study the weak coupling limit, where the electrons interact only within a quantum dot and…

Strongly Correlated Electrons · Physics 2009-11-13 J. -P. Nikkarila , M. Koskinen , M. Manninen