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We predict large regions of the charge stability diagram using a multi-band and multi-electron configuration interaction model of a double quantum dot system. We account for many-body interactions within each quantum dot using full…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Nathan L. Foulk , Sankar Das Sarma

In this work we investigate Wigner localization at very low densities by means of the exact diagonalization of the Hamiltonian. This yields numerically exact results. In particular, we study a quasi-one-dimensional system of two electrons…

We study the exchange coupling in small Wigner crystals confined to one-dimensional space. In particular we concentrate on the simplest nontrivial case of two electrons in a box potential and calculate analytically the energy splitting…

Strongly Correlated Electrons · Physics 2025-12-30 Daniele Lagasco , Zoran Ristivojevic

We consider free electrons in rectangular quantum dots, with either hard wall boundary conditions or anharmonic confinement. In both cases, due to finite size effects, a homogeneous electric field applied along one of the rectangular axis…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stephane Pleutin

The localized (particle-like) correlated electrons deserve particular attention as they govern various exotic quantum phenomena, such as quantum spin liquids, Wigner crystals, and Mott insulators in correlated systems. However, direct…

Strongly Correlated Electrons · Physics 2025-07-09 Yanyan Geng , Haoyu Dong , Renhong Wang , Zilu Wang , Jianfeng Guo , Shuo Mi , Yan Li , Fei Pang , Rui Xu , Li Huang , Hong-Jun Gao , Wei Ji , Shancai Wang , Weichang Zhou , Zhihai Cheng

Transition metal dichalcogenide-based moire superlattices exhibit very strong electron-electron correlations, thus giving rise to strongly correlated quantum phenomena such as generalized Wigner crystal states. Theoretical studies predict…

We report on a combined photoluminescence imaging and atomic force microscopy study of single, isolated self-assembled InAs quantum dots (density <0.01 um^(-2) capped by a 95 nm GaAs layer, and emitting around 950 nm. By combining optical…

Mesoscale and Nanoscale Physics · Physics 2017-07-27 Luca Sapienza , Jin Liu , Jin Dong Song , Stefan Falt , Werner Wegscheider , Antonio Badolato , Kartik Srinivasan

Interactions between electrons can strongly affect the shape and functionality of multi-electron quantum dots. The resulting charge distributions can be localized, as in the case of Wigner molecules, with consequences for the energy…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 H. Ekmel Ercan , S. N. Coppersmith , Mark Friesen

Coupled quantum dots are potential candidates for qubit systems in quantum computing. We use a non-invasive voltage probe to study the evolution of a coupled dot system from a situation where the dots are coupled to the leads to a situation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. W. Rushforth , C. G. Smith , M. D. Godfrey , H. E. Beere , D. A. Ritchie , M. Pepper

We study quasi-one-dimensional scattering of one and two particles with short-range interactions on a discrete lattice model in two dimensions. One of the directions is tightly confined by an arbitrary trapping potential. We obtain the…

Quantum Physics · Physics 2015-05-28 Manuel Valiente , Klaus Molmer

We investigate the edge reconstruction phenomenon believed to occur in quantum dots in the quantum Hall regime when the filling fraction is nu < 1. Our approach involves the examination of large dots (< 40 electrons) using a partial…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eyal Goldmann , Scot R. Renn

Strong repelling interactions between a few fermions or bosons confined in two-dimensional circular traps lead to particle localization and formation of quantum Wigner molecules (QWMs) possessing definite point-group space symmetries. These…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Constantine Yannouleas , Uzi Landman

We study the weak-coupling limit of the $t-t^\prime-U$ Hubbard model on a two-dimensional square lattice using a direct perturbative approach. Aided by symbolic computational tools, we compute the longitudinal density-density correlation…

Strongly Correlated Electrons · Physics 2022-08-10 B. D. E. McNiven , Hanna Terletska , G. T. Andrews , J. P. F. LeBlanc

We theoretically analyse the possibility to electrostatically confine electrons in circular quantum dot arrays, impressed on contacted graphene nanoribbons by top gates. Utilising exact numerical techniques, we compute the scattering…

Mesoscale and Nanoscale Physics · Physics 2016-04-21 Holger Fehske , Georg Hager , Andreas Pieper

In the limit of low particle density, electrons confined to a quantum dot form strongly correlated states termed Wigner molecules, in which the Coulomb interaction causes the electrons to become highly localized in space. By using an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. E. Creffield , G. Platero

Motivated by recent developments on the fabrication and control of semiconductor-based quantum dot qubits, we theoretically study a finite system of tunnel-coupled quantum dots with the electrons interacting through the long-range Coulomb…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 DinhDuy Vu , Sankar Das Sarma

The ability to control electronic states at the nanoscale has contributed to our modern understanding of condensed matter. In particular, quantum dot circuits represent model systems for the study of strong electronic correlations,…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 M. M. Desjardins , J. J. Viennot , M. C Dartiailh , L. E. Bruhat , M. R. Delbecq , M. Lee , M. -S. Choi , A. Cottet , T. Kontos

The scanning metallic tip of a scanning force microscope was coupled capacitively to electrons confined in a lithographically defined gate-tunable quantum dot at a temperature of 300 mK. Single electrons were made to hop on or off the dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Pioda , S. Kicin , T. Ihn , M. Sigrist , A. Fuhrer , K. Ensslin , A. Weichselbaum , S. E. Ulloa , M. Reinwald , W. Wegscheider

We consider a quasi one-dimensional quantum dot composed of two Coulombically interacting electrons confined in a Gaussian trap. Apart from bound states, the system exhibits resonances that are related to the autoionization process.…

Mesoscale and Nanoscale Physics · Physics 2020-09-22 Arkadiusz Kuroś , Anna Okopińska

It was recently argued that in small quantum dots the electrons could crystallize at much higher densities than in the infinite two-dimensional electron gas. We compare predictions that the onset of spin polarization and the formation of…

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