Few-electron quantum dots

Kouwenhoven, Leo P.; Austing, D. G.; Tarucha, Seigo

doi:10.1088/0034-4885/64/6/201

Cited by 1,050 publications

(1,152 citation statements)

References 70 publications

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“…For N = 6, one has two isomers, i.e., a (0,6) configuration and a (1,5) configuration (with one lectron at the center). For N = 9 electrons, there exist three different isomers, i.e., (0,9), (1,8), and (2,7). From the bottom panel in Fig.…”

Section: Comparison Of Approximate Results With Exact Diagonalizmentioning

confidence: 99%

“…The groundstate arrangements of the electrons become structurally more complex as the number of electrons in the dot increases. Using the notation (n 1 , n 2 , n 3 , ...) for the number of electrons located on concentric polygonal rings (see section II.A), the ground-state arrangements are: (0,3) for N = 3, (0,4) for N = 4, (1,5) for N = 6, (2,7) for N = 9, (3,8) for N = 11, and (1,6,10) for N = 17.…”

Section: Discussionmentioning

confidence: 99%

“…10, we display the CPD for the REM wave function of N = 17 electrons. This case has a nontrivial three-ring structure (1,6,10), 25 which is sufficiently complex to allow generalizations for larger numbers of particles. The remarkable combined character (partly crystalline and partly fluid leading to a non-classical rotational inertia, see section VI) of the REM is illustrated in the CPDs of Fig.…”

Section: Lmmentioning

confidence: 99%

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From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Yannouleas

Landman

2006

Phys. Rev. B

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Using the method of breaking of circular symmetry and of subsequent symmetry restoration via projection techiques, we present calculations for the ground-state energies and excitation spectra of N -electron parabolic quantum dots in strong magnetic fields in the medium-size range 10 ≤ N ≤ 30. The physical picture suggested by our calculations is that of finite rotating electron molecules (REMs) comprising multiple rings, with the rings rotating independently of each other. An analytic expression for the energetics of such non-rigid multi-ring REMs is derived; it is applicable to arbitrary sizes given the corresponding equilibrium configuration of classical point charges. We show that the rotating electron molecules have a non-rigid (non-classical) rotational inertia exhibiting simultaneous crystalline correlations and liquid-like (non-rigidity) characteristics. This mixed phase appears in high magnetic fields and contrasts with the picture of a classical rigid Wigner crystal in the lowest Landau level.

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Section: Comparison Of Approximate Results With Exact Diagonalizmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Lmmentioning

confidence: 99%

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From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Yannouleas

Landman

2006

Phys. Rev. B

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“…7 is the absence of degeneracy points along the gate axis for low bias. 17 The crossing of a degeneracy point corresponds to the appearance of a new charge state. For sharp levels, this crossing is a well- defined point in the stability diagram and when measuring for low bias the current as a function of gate, sharp current peaks occur.…”

Section: Molecular Junctions With Oligo(cyclohexylidene)mentioning

confidence: 99%

Molecular three-terminal devices: fabrication and measurements

et al. 2006

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Incorporation of a third, gate electrode in the device geometry of molecular junctions is necessary to identify the transport mechanism. At present, the most popular technique to fabricate three-terminal molecular devices makes use of electromigration. Although it is a statistical process, we show that control over the gap resistance can be obtained. A detailed analysis of the current-voltage characteristics of gaps without molecules, however, shows that they reveal features that can mistakenly be attributed to molecular transport. This observation raises questions about which gaps with molecules can be disregarded and which not. We show that electrical characteristics can be controlled by the rational design of the molecular bridge and that vibrational modes probed by electrical transport are of potential interest as molecular fingerprints.

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“…In order for the effect to be pronounced, E c must be greater than ∆E, and the junction resistances should be greater than the inverse of the conductance quantum (R > h/e 2 ). The set of equations describing the Coulomb blockade reads [5]:…”

Section: Coulomb Blockadementioning

confidence: 99%

Spin‐polarized transport through carbon nanotubes

Krompiewski

2005

Physica Status Solidi (b)

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Published online zzz PACS 85.35. Kt, 81.07.De, Carbon nanotubes (CNT) belong to the most promising new materials which can in the near future revolutionize the conventional electronics. When sandwiched between ferromagnetic electrodes, the CNT behaves like a spacer in conventional spin-valves, leading quite often to a considerable giant magneto-resistance effect (GMR). This paper is devoted to reviewing some topics related to electron correlations in CNT. The main attention however is directed to the following effects essential for electron transport through nanotubes: (i) nanotube/electrode coupling and (ii) inter-tube interactions. It is shown that these effects may account for some recent experimental reports on GMR, including those on negative (inverse) GMR.Copyright line will be provided by the publisher 1 Introduction A particularly challenging class of materials for the future electronics are carbon nanotubes, i.e. graphite sheets rolled up in such a manner that they form very long and thin (in atomic scale) cylinders. Their length can be of the order of several micrometers whereas typical cross-sections of single wall carbon nanotubes (SWCNT) are a few nanometers in diameter, and roughly up to 10 times more for multi-wall carbon nanotubes (MWCNT) . Both the SWCNTs and MWCNTs have been attracting much attention of many researchers since they were discovered [1].It is now clear that the electronics based on conventional semiconducting devices (e.g. silicon technology) has faced fundamental limitations as far as further miniaturization is concerned. The reasons are various, including the fact that the relative amount of surface states -destructive for electronic transport properties -increases rapidly in 2-and 3-dimensional systems when their sizes are being reduced. Likewise, it is predicted that the SiO 2 layer in the MOSFET will be too thin soon (within 10 years or so) to retain its insulating properties [2]. So, there is much interest of physicists, technologists and engineers in new generation nano-scale devices, including molecular ones. The adopted approach is the so-called bottom up philosophy, aiming at designing electronic devices at the molecular level. In contrast to siliconbased devices, the molecular ones (incl. carbon nanotubes, CNT) can successfully cope with the more and more demanding miniaturization requirements without worsening their multi-functional properties. Most probably the CNTs are also good candidates for spintronics applications in view of their unusually long spin diffusion length. It is well-known that electrons can travel through carbon nanotubes up to many hundreds of nanometers, still keeping their momentum and spin orientation. So CNTs are believed to be useful in the near future microelectronics (or molecular electronics) as interconnects, and possibly also as active elements in integrated circuits. Physical properties of the CNTs connected to metallic electrodes depend critically on a quality of CNT/metal junctions, and may evolve with increasing transparencies of the j...

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Few-electron quantum dots

Cited by 1,050 publications

References 70 publications

From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings

Molecular three-terminal devices: fabrication and measurements

Spin‐polarized transport through carbon nanotubes

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