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ID 14061
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Author
Miyake Takashi
Totsuji, Chieko
Nakanishi Kenta
Totsuji, Hiroo
Abstract
We analyze the ground state of the two-dimensional quantum system of electrons confined in a parabolic potential with the system size around 100. We map the system onto a classical system on the basis of the classical-map hypernetted-chain (CHNC) method which has been proven to work in the integral-equation-based analyses of uniform unbounded systems and then apply classical numerical simulations. We find that the confined system undergoes the transition to the spin polarized state with the decrease of the average density and the corresponding critical value is as low as rs ∼ 0.3 in terms of the usual rs parameter estimated for the average density. As the ground state for given value of the rs parameter, our data give the critical value for the transition around 20 which is consistent with the known possibility. The advantage of our method is a direct applicability to geometrically complex systems which are difficult to analyze by integral equations. The application to the structure like quantum dots reported here is the first example of such applications.
Publication Title
Memoirs of the Faculty of Engineering, Okayama University
Published Date
2008-01
Volume
volume42
Issue
issue1
Publisher
Faculty of Engineering, Okayama University
Publisher Alternative
岡山大学工学部
Start Page
56
End Page
59
ISSN
0475-0071
NCID
AA10699856
Content Type
Departmental Bulletin Paper
OAI-PMH Set
岡山大学
language
English
File Version
publisher
NAID
Eprints Journal Name
mfe