Article
Magnetically tunable KondoAharonovBohm effect in a triangular quantum dot
Department of Physics, BenGurion University of the Negev, Be'er Sheva`, Southern District, Israel
Physical Review Letters
(Impact Factor: 7.73).
03/2006;
96(4):046601.
DOI: 10.1103/PhysRevLett.96.046601
Source: PubMed

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ABSTRACT: We show that the direction of coherent electron transport across a cyclic system of quantum dots or a cyclic molecule can be modulated by an external magnetic field if the cycle has an odd number of hopping sites, but the transport becomes completely symmetric if the number is even. These contrasting behaviors, which remain in the case of interacting electrons, are a consequence of the absence or presence of alternance symmetry in the system. These findings are relevant for the design of nanocircuits based on coupled quantum dots or molecular junctions.Physical Review B 04/2014; 89(15). DOI:10.1103/PhysRevB.89.155428 · 3.66 Impact Factor 
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ABSTRACT: By means of the numerical renormalization group method, I study the quantum phase transition (QPT) and the electronic transport in parallel triple quantum dot system with symmetric and/or asymmetric hopping. For symmetric hopping \(t_{1} = t_{2}\) and zero magnetic field \(B = 0\) , I find a first order transition between spin quadruplet and doublet as \(t_{1}\) ( \(t_{2}\) ) increases. With increasing \(B\) , a second order QPT between \(S_{z} = 1/2\) of the doublet and \(S_{z} = 3/2\) of the quadruplet is observed. For asymmetric hopping \(t_{1} \ne t_{2}\) , the QPT depends closely on the other hopping. For fixed \(t_{1} , where \(\varGamma \) is the hybridization function between the dots and the leads, a first order transition is observed as \(t_{2}\) increases, while for \(t_{1} \ge \varGamma \) , a crossover occurs. In the presence of \(B\) , the transition between \(S_{z} = 1/2\) and \(S_{z} = 3/2\) is a first order QPT for \(t_{1} , while a second order for \(t_{1} \ge \varGamma \) .Journal of Low Temperature Physics 11/2014; 177(34). DOI:10.1007/s109090141201x · 1.04 Impact Factor 
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ABSTRACT: Quantum mechanics often results in extremely complex phenomena, especially when the quantum system under consideration is composed of many interacting particles. The states of these manybody systems live in a space so large that classical numerical calculations cannot compute them. Quantum simulations can be used to overcome this problem: complex quantum problems can be solved by studying experimentally an artificial quantum system operated to simulate the desired hamiltonian. Quantum dot systems have shown to be widely tunable quantum systems, that can be efficiently controlled electrically. This tunability and the versatility of their design makes them very promising quantum simulators. This paper reviews the progress towards digital quantum simulations with individually controlled quantum dots, as well as the analog quantum simulations that have been performed with these systems. The possibility to use large arrays of quantum dots to simulate the lowtemperature Hubbard model is also discussed. The main issues along that path are presented and new ideas to overcome them are proposed.Annalen der Physik 11/2013; 525(1011):808826. DOI:10.1002/andp.201300124 · 1.48 Impact Factor
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