Ground state energies of quantum dots in high magnetic fields: A new approach

J. Kainz; S. A. Mikhailov; A. Wensauer; U. Rössler

doi:10.1016/S1386-9477(01)00452-0

Ground state energies of quantum dots in high magnetic fields: A new approach

J. Kainz
, S. A. Mikhailov
, A. Wensauer
, U. Rössler

University of Regensburg

Research output: Contribution to journal › Conference article › peer-review

8 Scopus citations

Abstract

We present a method for calculating ground state properties of quantum dots in high magnetic fields which takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy and is optimized for the high field limit. Assuming perfect spin alignment the many-body trial function is a single Slater determinant of overlapping oscillator functions from the lowest Landau level centered at and near the classical equilibrium positions. We obtain an analytic expression for the ground state energy and present numerical results for up to N = 40.

Original language	English
Pages (from-to)	888-891
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	12
Issue number	1-4
DOIs	https://doi.org/10.1016/S1386-9477(01)00452-0
State	Published - Jan 2002
Externally published	Yes
Event	14th International Conference on the - Prague, Czech Republic Duration: 30 Jul 2001 → 3 Aug 2001

Keywords

Ground state
High magnetic field
Quantum dot
Wigner cluster

Access to Document

10.1016/S1386-9477(01)00452-0

Cite this

@article{21fe9efa37a04ad2874b222258ccba60,

title = "Ground state energies of quantum dots in high magnetic fields: A new approach",

abstract = "We present a method for calculating ground state properties of quantum dots in high magnetic fields which takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy and is optimized for the high field limit. Assuming perfect spin alignment the many-body trial function is a single Slater determinant of overlapping oscillator functions from the lowest Landau level centered at and near the classical equilibrium positions. We obtain an analytic expression for the ground state energy and present numerical results for up to N = 40.",

keywords = "Ground state, High magnetic field, Quantum dot, Wigner cluster",

author = "J. Kainz and Mikhailov, \{S. A.\} and A. Wensauer and U. R{\"o}ssler",

year = "2002",

month = jan,

doi = "10.1016/S1386-9477(01)00452-0",

language = "English",

volume = "12",

pages = "888--891",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier B.V.",

number = "1-4",

note = "14th International Conference on the ; Conference date: 30-07-2001 Through 03-08-2001",

}

TY - JOUR

T1 - Ground state energies of quantum dots in high magnetic fields

T2 - 14th International Conference on the

AU - Kainz, J.

AU - Mikhailov, S. A.

AU - Wensauer, A.

AU - Rössler, U.

PY - 2002/1

Y1 - 2002/1

N2 - We present a method for calculating ground state properties of quantum dots in high magnetic fields which takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy and is optimized for the high field limit. Assuming perfect spin alignment the many-body trial function is a single Slater determinant of overlapping oscillator functions from the lowest Landau level centered at and near the classical equilibrium positions. We obtain an analytic expression for the ground state energy and present numerical results for up to N = 40.

AB - We present a method for calculating ground state properties of quantum dots in high magnetic fields which takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy and is optimized for the high field limit. Assuming perfect spin alignment the many-body trial function is a single Slater determinant of overlapping oscillator functions from the lowest Landau level centered at and near the classical equilibrium positions. We obtain an analytic expression for the ground state energy and present numerical results for up to N = 40.

KW - Ground state

KW - High magnetic field

KW - Quantum dot

KW - Wigner cluster

UR - https://www.scopus.com/pages/publications/0035239407

U2 - 10.1016/S1386-9477(01)00452-0

DO - 10.1016/S1386-9477(01)00452-0

M3 - Conference article

AN - SCOPUS:0035239407

SN - 1386-9477

VL - 12

SP - 888

EP - 891

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 1-4

Y2 - 30 July 2001 through 3 August 2001

ER -

Ground state energies of quantum dots in high magnetic fields: A new approach

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this