Energy spectrum of a two-dimensional screened donor in a constant magnetic field of arbitrary strength

Víctor M. Villalba; Ramiro Pino

doi:10.1016/S0921-4526(01)01469-7

Energy spectrum of a two-dimensional screened donor in a constant magnetic field of arbitrary strength

Víctor M. Villalba, Ramiro Pino

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We compute the energy levels of a two-dimensional screened hydrogenic donor when a constant magnetic field is applied. In order to describe the screening of the Coulomb field we introduce a Yukawa potential. With the help of a mixed-basis variational method, as well as the shifted 1/N method, we calculate the binding energies of the 1S,2P^- and 3D^- ground states and we show how they depend on the screening strength.

Original language	English (US)
Pages (from-to)	289-296
Number of pages	8
Journal	Physica B: Condensed Matter
Volume	315
Issue number	4
DOIs	https://doi.org/10.1016/S0921-4526(01)01469-7
State	Published - Apr 2002

Keywords

Hydrogenic donor
Low-dimensional atoms
Variational method

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1016/S0921-4526(01)01469-7

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title = "Energy spectrum of a two-dimensional screened donor in a constant magnetic field of arbitrary strength",

abstract = "We compute the energy levels of a two-dimensional screened hydrogenic donor when a constant magnetic field is applied. In order to describe the screening of the Coulomb field we introduce a Yukawa potential. With the help of a mixed-basis variational method, as well as the shifted 1/N method, we calculate the binding energies of the 1S,2P- and 3D- ground states and we show how they depend on the screening strength.",

keywords = "Hydrogenic donor, Low-dimensional atoms, Variational method",

author = "Villalba, {V{\'i}ctor M.} and Ramiro Pino",

note = "Funding Information: One of the authors (VMV) acknowledges support by CONICIT, Venezuela, under project 96000061. He also acknowledges a fellowship from the Alexander von Humboldt Stiftung. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

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T1 - Energy spectrum of a two-dimensional screened donor in a constant magnetic field of arbitrary strength

AU - Villalba, Víctor M.

AU - Pino, Ramiro

N1 - Funding Information: One of the authors (VMV) acknowledges support by CONICIT, Venezuela, under project 96000061. He also acknowledges a fellowship from the Alexander von Humboldt Stiftung. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2002/4

Y1 - 2002/4

N2 - We compute the energy levels of a two-dimensional screened hydrogenic donor when a constant magnetic field is applied. In order to describe the screening of the Coulomb field we introduce a Yukawa potential. With the help of a mixed-basis variational method, as well as the shifted 1/N method, we calculate the binding energies of the 1S,2P- and 3D- ground states and we show how they depend on the screening strength.

AB - We compute the energy levels of a two-dimensional screened hydrogenic donor when a constant magnetic field is applied. In order to describe the screening of the Coulomb field we introduce a Yukawa potential. With the help of a mixed-basis variational method, as well as the shifted 1/N method, we calculate the binding energies of the 1S,2P- and 3D- ground states and we show how they depend on the screening strength.

KW - Hydrogenic donor

KW - Low-dimensional atoms

KW - Variational method

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VL - 315

SP - 289

EP - 296

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - 4

ER -

Energy spectrum of a two-dimensional screened donor in a constant magnetic field of arbitrary strength

Abstract

Keywords

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