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A computational model is presented to calculate the ground state energy of neutral and charged excitons confined in semiconductor quantum dots. The model is based on the variational Quantum Monte Carlo method and effective mass…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Josep Planelles , Juan I. Climente

A simple, general and practically exact method, Entanglement Perturbation Theory (EPT), is formulated to calculate the ground states of 2D macroscopic quantum systems with translational symmetry. An emphasis will be placed on the…

Strongly Correlated Electrons · Physics 2015-05-19 S. G. Chung , K. Ueda

We present a study of the two dimensional circular quantum dot model Hamiltonian using a range of quantum chemical ab initio methods. Ground and excited state energies are computed on different levels of perturbation theories including the…

Chemical Physics · Physics 2022-03-23 Faruk Salihbegović , Alejandro Gallo , Andreas Grüneis

The performance of many-body perturbation theory for calculating ground-state properties is investigated. We present fully numerical results for the electron gas in three and two dimensions in the framework of the GW approximation. The…

Condensed Matter · Physics 2009-10-31 P. Garcia-Gonzalez , R. W. Godby

The Pade approximant technique and the variational Monte Carlo method are applied to determine the ground-state energy of a finite number of charged bosons in two dimensions confined by a parabolic trap. The particles interact repulsively…

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

This theoretical paper offers an explicit expression for the binding energy of excitons in a two-dimensional semiconductor with a flat valence band. The formula has been derived quasiclassically assuming that the exciton is tightly bound;…

Mesoscale and Nanoscale Physics · Physics 2019-05-17 Maxim Trushin

This paper demonstrates that a computer aided perturbation theory can easily be realized by use of a cumulant approach. In contrast to a recent alternative formulation on the basis of Wegner's flow equation method the present approach can…

Strongly Correlated Electrons · Physics 2009-11-10 S. Sykora , A. Huebsch , K. W. Becker

Excitonic systems localized in a single InAs/GaAs parabolic quantum dot are studied theoretically using an unrestricted Hartree-Fock method. The binding energies of excitons, conventional biexcitons and quadrons - four particles system of…

Mesoscale and Nanoscale Physics · Physics 2021-12-09 Nguyen Hong Quang , Nguyen Que Huong , Tran Anh Dung , Nguyen Toan Thang , Hoang Anh Tuan

We present numerically exact energy estimates for two-dimensional electrons in a parabolic confinement. By application of an extension of the recently introduced many-body diffusion algorithm, the ground-state energies are simulated very…

Condensed Matter · Physics 2015-06-24 F. Luczak , F. Brosens , J. T. Devreese , L. F. Lemmens

The donor binding energies associated with the ground state and a few excited states, are computed as a function of the dot size and the impurity position within two and three dimensional GaAs quantum dots. The calculation has been done…

Materials Science · Physics 2007-05-23 S. Baskoutas , A. F. Terzis

For the one-dimensional, extended Peierls--Hubbard model we calculate analytically the ground-state energy and the single-particle gap to second order in the Coulomb interaction for a given lattice dimerization. The comparison with…

Strongly Correlated Electrons · Physics 2009-11-11 Anja Grage , Florian Gebhard , Joerg Rissler

We present a calculation of exciton states in semiconductor coupled quantum wells (CQWs) in the presence of electric and magnetic fields applied perpendicular to the QW plane. The exciton Schr\"odinger equation is solved in real space in…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 J. Wilkes , E. A. Muljarov

When electron correlations are important it is often necessary to use numerical methods to solve the Hamiltonian for a finite system (cluster) "exactly". Unfortunately, such methods are restricted to small systems. We propose to combine the…

Strongly Correlated Electrons · Physics 2009-10-31 Maciej M. Maska

We consider a two-dimensional self-bound quantum droplet, which consists of a mixture of two Bose-Einstein condensates. We start with the ground state, and then turn to the rotational response of this system, in the presence of an external…

Quantum Gases · Physics 2020-08-26 P. Examilioti , G. M. Kavoulakis

The polarization splitting of the exciton ground state in two laterally coupled quantum dots under an in-plane electric field is investigated and its effective tuning is designed. It is found that there are significant Stark effect and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jia-Lin Zhu , Dong Xu

A perturbative calculation of the three-nucleon ground-state energy shift in a finite volume is carried out within the non-relativistic effective theory. The energy shift is evaluated up to and including $\mathcal{O}(L^{-6})$, where $L$ is…

High Energy Physics - Lattice · Physics 2023-08-09 Rishabh Bubna , Fabian Müller , Akaki Rusetsky

We report calculations for electronic ground states of parabolically confined quantum dots for up to 30 electrons based on the quantum Monte Carlo method. Effects of the electron-electron interaction and the response to a magnetic field are…

Strongly Correlated Electrons · Physics 2007-05-23 V. Popsueva , T. Matthey , J. P. Hansen , L. Kocbach , M. Hjorth-Jensen

We present an extensive comparative study of ground-state densities and pair distribution functions for electrons confined in two-dimensional parabolic quantum dots over a broad range of coupling strength and electron number. We first use…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Gattobigio , P. Capuzzi , M. Polini , R. Asgari , M. P. Tosi

We apply high-order many-body perturbation theory for the calculation of ground-state energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive formulation, we compute the perturbative energy…

Nuclear Theory · Physics 2010-02-03 Robert Roth , Joachim Langhammer

Second order perturbation theory and a Lipkin-Nogami scheme combined with an exact Monte Carlo projection after variation are applied to compute the ground-state energy of $6\le N\le 210$ electron-hole pairs confined in a parabolic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Boris A. Rodriguez , Augusto Gonzalez , Luis Quiroga , Roberto Capote , Ferney Rodriguez
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