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The ground state of 2D electrons in high magnetic field is studied by the density matrix renormalization group method. The ground state energy, excitation gap, and pair correlation functions are systematically calculated at various fillings…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. Shibata , D. Yoshioka

A new class of analytic and parameter-free, strongly correlated wave functions of simple functional form is derived for few electrons in two-dimensional quantum dots under high magnetic fields. These wave functions are constructed through…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Constantine Yannouleas , Uzi Landman

Interelectron interactions and correlations in quantum dots can lead to spontaneous symmetry breaking of the self-consistent mean field resulting in formation of Wigner molecules. With the use of spin-and-space unrestricted Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Constantine Yannouleas , Uzi Landman

A molecular description for magic-number configurations of interacting electrons in a quantum dot in high magnetic fields developed by one of the authors has been elaborated for four, five and six electron dots. For four electrons, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Hiroshi Imamura , Peter A. Maksym , Hideo Aoki

Electron tunneling through a system formed by two coupled quantum dots in a parallel geometry is considered within a generalized Anderson model. The dots are assumed to have nearly equal radii but different (and tunable) gate voltages. In…

Strongly Correlated Electrons · Physics 2009-11-07 Yshai Avishai , Konstantin Kikoin

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

We investigate the dynamics of two interacting electrons confined to a pair of coupled quantum dots driven by an external AC field. By numerically integrating the two-electron Schroedinger equation in time, we find that for certain values…

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

We consider an electrostatically induced square lattice of quantum dots and study the role of electron-electron correlations in the resulting electronic features of the system. We utilize the Wannier functions methodology in order to…

Strongly Correlated Electrons · Physics 2022-01-11 A. Biborski , M. P. Nowak , M. Zegrodnik

In this paper, we study within the structure of Symplectic Quantum Mechanics a bi-dimensional non-relativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which…

High Energy Physics - Phenomenology · Physics 2022-01-04 R. R. Luz , Caroline S. R. Costa , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim , R. A. S. Paiva

The role of electronic interactions in the level structure of semiconductor quantum dots is analyzed in terms of the correspondence to the integrability of a classical system that models these structures. We find that an otherwise simple…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Lilia Meza-Montes , Sergio E. Ulloa , Daniela Pfannkuche

We study two-dimensional quantum dots using the variational quantum Monte Carlo technique in the weak-confinement limit where the system approaches the Wigner molecule, i.e., the classical solution of point charges in an external potential.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Harju , S. Siljamäki , R. M. Nieminen

The interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method,…

Strongly Correlated Electrons · Physics 2018-09-25 Jianyun Zhao , Yuhe Zhang , J. K. Jain

We construct a model for interacting electrons with strong spin orbit coupling in the pyrochlore iridates. We establish the importance of the direct hopping process between the Ir atoms and use the relative strength of the direct and…

Strongly Correlated Electrons · Physics 2012-02-02 William Witczak-Krempa , Yong Baek Kim

Using the Hartree-Fock approximation, we calculate the energy of different Wigner crystal states for the two-dimensional electron gas of a double quantum well system in a strong magnetic field. Our calculation takes interlayer hopping as…

Condensed Matter · Physics 2009-10-22 Lian Zheng , H. A. Fertig

The ground-state behavior of the symmetric electron-electron and electron-hole bilayers is studied by including dynamic correlation effects within the quantum version of Singwi, Tosi, Land, and Sjolander (qSTLS) theory. The static…

Strongly Correlated Electrons · Physics 2009-11-07 R. K. Moudgil , L. K. Saini , Gaetano Senatore

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

The phase diagram of quantum electron bilayers in zero magnetic field is obtained using density functional theory. For large electron densities the system is in the liquid phase, while for smaller densities the liquid may freeze (Wigner…

Condensed Matter · Physics 2009-10-28 G. Goldoni , F. M. Peeters

We use density-functional methods to study the effects of an external magnetic field on two-dimensional quantum dots with a rectangular hard-wall confining potential. The increasing magnetic field leads to spin polarization and formation of…

Strongly Correlated Electrons · Physics 2009-11-10 E. Räsänen , A. Harju , M. J. Puska , R. M. Nieminen

Quantum systems under electric fields provide a powerful framework for uncovering and controlling novel quantum phases, especially in low-dimensional systems with strong correlations. In this work, we investigate quantum phase transitions…

Strongly Correlated Electrons · Physics 2025-05-22 D. Arisa , R. M. Dos Santos , Isaac M. Carvalho , Vivian V. França

Using exact diagonalization we study the low energy Hilbert space of the two-electron, two-quantum dot artificial molecule under a perpendicular magnetic field. We show that electrons bind to vortices to induce several spin transitions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , S. Das Sarma