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Electronic states in silicon quantum dots are examined theoretically, taking into account a multivalley structure of the conduction band. We find that (i) exchange interaction hardly works between electrons in different valleys. In…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yoko Hada , Mikio Eto

We present an analytically solvable model of $P$ colinear, two-dimensional quantum dots, each containing two electrons. Inter-dot coupling via the electron-electron interaction gives rise to sets of entangled ground states. These ground…

Condensed Matter · Physics 2009-10-28 Simon C. Benjamin , Neil F. Johnson

We study a two-dimensional cylindrically-symmetric electron droplet separated from a surrounding electron ring by a tunable barrier using the exact diagonalization method. The magnetic field is assumed strong so that the electrons become…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 E. Tölö , A. Harju

A number of methods are discussed which may serve for a treatment of electron correlations in solids. When the electron correlations are relatively weak like in semiconductors or a number of ionic crystals one may start from a…

Condensed Matter · Physics 2007-05-23 Prof. Dr. Peter Fulde

Engineered quantum systems allow us to observe phenomena that are not easily accessible naturally. The LEGO-like nature of superconducting circuits makes them particularly suited for building and coupling artificial atoms. Here, we…

Quantum Physics · Physics 2017-09-08 A. Kou , W. C. Smith , U. Vool , R. T. Brierley , H. Meier , L. Frunzio , S. M. Girvin , L. I. Glazman , M. H. Devoret

The Wigner crystal, an ordered array of electrons, is one of the very first proposed many-body phases stabilized by the electron-electron interaction. This electron solid phase has been reported in ultra-clean two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Lili Zhao , Wenlu Lin , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren N. Pfeiffer , Yang Liu

We study the capacitance spectra of artificial molecules consisting of two and three coupled quantum dots from an extended Hubbard Hamiltonian model that takes into account quantum confinement, intra- and inter-dot Coulomb interaction and…

Condensed Matter · Physics 2009-10-28 F. Ramirez , E. Cota , S. E. Ulloa

What are the ground states of an interacting, low-density electron system? In the absence of disorder, it has long been expected that as the electron density is lowered, the exchange energy gained by aligning the electron spins should…

Strongly Correlated Electrons · Physics 2020-12-07 Md. S. Hossain , M. K. Ma , K. A. Villegas Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Within local-spin-density functional theory, we have investigated the `dissociation' of few-electron circular vertical semiconductor double quantum ring artificial molecules at zero magnetic field as a function of inter-ring distance. In a…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Francesc Malet , Manuel Barranco , Enrico Lipparini , Ricardo Mayol Martí Pi , Juan Ignacio Climente , Josep Planelles

A powerful method of manipulating the dynamics of quantum coherent particles is to control the phase of their tunneling. We consider a system of two electrons hopping on a quasi one-dimensional lattice in the presence of a uniform magnetic…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 C. E. Creffield , G. Platero

We theoretically study the generation of quantum correlations in a hybrid system composed by two interacting semiconductor quantum dots mediated by a metal nanoparticle and coupled to an external laser field. Interactions present in the…

Quantum Physics · Physics 2017-07-18 Kostas Blekos , Maria-Eftaxia Stasinou , Andreas F. Terzis , Emmanuel Paspalakis

Non-classical states are of practical interest in quantum computing and quantum metrology. These states can be detected through their Wigner function negativity in some regions. In this paper, we calculate the ground state of the…

Quantum Physics · Physics 2021-02-03 Ramón López-Peña , Sergio Cordero , Eduardo Nahmad-Achar , Octavio Castaños

We consider temperature-induced melting of a Wigner solid in one dimensional (1D) and two dimensional (2D) lattices of electrons interacting via the long-range Coulomb interaction in the presence of strong disorder arising from charged…

Disordered Systems and Neural Networks · Physics 2022-09-13 DinhDuy Vu , Sankar Das Sarma

We study $N$ interacting massless Dirac fermions confined in a two-dimensional quantum dot. Physical realizations of this problem include a graphene monolayer and the surface state of a strong topological insulator. We consider both a…

Mesoscale and Nanoscale Physics · Physics 2011-02-15 Tomi Paananen , Reinhold Egger , Heinz Siedentop

Strongly interacting electronic systems possess rich phase diagrams resulting from the competition between different quantum ground states. A general mechanism that relieves this frustration is the emergence of microemulsion phases, where…

We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark state, where it was considered a linear potential in the…

High Energy Physics - Theory · Physics 2023-04-24 M. Abu-Shady , Renato R. Luz , G. X. A. Petronilo , R. G. G. Amorim , A. E. Santana

We study the development of electron-electron correlations in circular quantum dots as the density is decreased. We consider a wide range of both electron number, N<=20, and electron gas parameter, r_s<18, using the diffusion quantum Monte…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Ghosal , A. D. Guclu , C. J. Umrigar , Denis Ullmo , Harold U. Baranger

We study by means of exact-diagonalization techniques the ground state of a few-fermion system with strong short-range repulsive interactions trapped by a harmonic potential in one spatial dimension. Even when the ground-state density…

Strongly Correlated Electrons · Physics 2012-08-28 Jing-Jing Wang , Wei Li , Shu Chen , Gao Xianlong , Massimo Rontani , Marco Polini

Moir\'e systems have emerged as an exciting tunable platform for engineering and probing quantum matter. A large number of exotic states have been observed, stimulating intense efforts in experiment, theory, and simulation. Utilizing a…

Quantum Physics · Physics 2026-02-23 Conor Smith , Yubo Yang , Zhou-Quan Wan , Yixiao Chen , Miguel A. Morales , Shiwei Zhang

Strong electric fields can be used to align molecules. However, a non-polar molecule such as H$_2$ has no preference for its orientation. There are thus two equivalent configurations with equal energy separated by a potential-energy…

Chemical Physics · Physics 2025-12-02 J. Amira Geuther , Marit R. Fiechter , Jeremy O. Richardson