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The problem of interacting electrons moving under the influence of a strong magnetic field in two dimensions on a finite disk is reconsidered. First, the results of exact diagonalizations for up to $N=9$ electrons for Coulomb as well as for…

Condensed Matter · Physics 2009-10-22 M. Kasner , W. Apel

Quantum confinement has made it possible to detect and manipulate single-electron charge and spin states. The recent focus on two-dimensional (2D) materials has attracted significant interests on possible applications to quantum devices,…

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Julia S. Meyer , K. A. Matveev , A. I. Larkin

The one-- and two-- particle densities of up to four interacting electrons with spin, confined within a quasi one--dimensional ``quantum dot'' are calculated by numerical diagonalization. The transition from a dense homogeneous charge…

Condensed Matter · Physics 2009-10-22 K. Jauregui , W. Haeusler , B. Kramer , PTB Braunschweig

Multi-electron semiconductor quantum dots have found wide application in qubits, where they enable readout and enhance polarizability. However, coherent control in such dots has typically been restricted to only the lowest two levels, and…

An interplay between electron correlation and reduced dimensionality due to the Landau quantization gives rise to exotic electronic phases in three-dimensional semimetals under high magnetic field. Using an unbiased theoretical method, we…

Strongly Correlated Electrons · Physics 2019-10-17 Zhiming Pan , Ryuichi Shindou

We study quantum control of the full hyperfine manifold in the ground-electronic state of alkali atoms based on applied radio frequency and microwave fields. Such interactions should allow essentially decoherence-free dynamics and the…

Quantum Physics · Physics 2009-11-13 Seth T. Merkel , Poul S. Jessen , Ivan H. Deutsch

By means of exact diagonalization we study the low-energy states of seven electrons in the lowest Landau level which are confined by a cylindric external potential modelling the rest of a macroscopic system and thus controlling the filling…

Condensed Matter · Physics 2009-10-28 V. A. Kashurnikov , N. V. Prokof'ev , B. V. Svistunov , I. S. Tupitsyn

Vertically coupled double quantum rings submitted to a perpendicular magnetic field $B$ are addressed within the local spin-density functional theory. We describe the structure of quantum ring molecules containing up to 40 electrons…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Royo , F. Malet , M. Barranco , M. Pi , J. Planelles

We perform a phase-space analysis of strong-field enhanced ionisation in molecules, with emphasis on quantum-interference effects. Using Wigner quasi-probability distributions and the quantum Liouville equation, we show that the momentum…

Atomic Physics · Physics 2019-07-30 H. Chomet , D. Sarkar , C. Figueira de Morisson Faria

We study the ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the effective interaction compares with the kinetic energy,…

Statistical Mechanics · Physics 2021-07-29 Massimo Ostilli , Carlo Presilla

The spin-dependent trial wave functions with rotational symmetry are introduced to describe rotating Wigner molecular states with spin degree of freedom in four- and five-electron quantum dots under magnetic fields. The functions are…

Strongly Correlated Electrons · Physics 2009-11-13 Zhensheng Dai , Jia-Lin Zhu , Ning Yang , Yuquan Wang

We study a model of two concentric onedimensional rings with incommensurate areas $A_1$ and $A_2$, in a constant magnetic field. The two rings are coupled by a nonhomogeneous inter-ring tunneling amplitude, which makes the one-particle…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 C. M. Canali , W. Stephan , L. Y. Gorelik , R. I. Shekhter , M. Jonson

Exact results for the classical and quantum system of two vertically coupled two-dimensional single electron quantum dots are obtained as a function of the interatomic distance (d) and with perpendicular magnetic field. The classical system…

Condensed Matter · Physics 2009-10-31 B. Partoens , A. Matulis , F. M. Peeters

The Wigner-crystal phase of two-dimensional electrons interacting via the Coulomb repulsion and subject to a strong Rashba spin-orbit coupling is investigated. For low enough electronic densities the spin-orbit band splitting can be larger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 P. G. Silvestrov , O. Entin-Wohlman

The degree of entanglement of an electron with a hole in a vertically coupled self-assembled dot molecule is shown to be tunable by an external electric field. Using atomistic pseudopotential calculations followed by a configuration…

Materials Science · Physics 2009-11-11 Gabriel Bester , Alex Zunger

We consider the crystallization of a two-dimensional electron system in a perpendicular magnetic field using composite boson theory. There are three possible states to consider: the Hall liquid, the Wigner crystal, and the Hall crystal (a…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Julian May-Mann , Sayak Bhattacharjee , Srinivas Raghu

When two-dimensional electrons are subjected to a very strong magnetic field, they are believed to form a triangular Wigner crystal. We demonstrate that, in the entire crystal phase, this crystal is very well represented by a…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Chia-Chen Chang , Gun Sang Jeon , Jainendra K. Jain

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

We observe the low-lying excitations of a molecular dimer formed by two electrons in a GaAs semiconductor quantum dot in which the number of confined electrons is tuned by optical illumination. By employing inelastic light scattering we…

Mesoscale and Nanoscale Physics · Physics 2010-06-16 Achintya Singha , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West , Massimo Rontani
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