Abstract
A method for numerically simulating quantum systems is proposed and applied to the two-dimensional electron fluid at T = 0. This method maps quantum systems onto classical ones in the spirit of the classical-map hypernetted-chain theory and performs simulations on the latter. The results of the simulations are free from the assumption of the hypernetted-chain approximation and the neglect of the bridge diagrams. A merit of this method is the applicability to systems with geometrical complexity and finite sizes including the cases at finite temperatures. Monte Carlo and molecular dynamics simulations are performed corresponding to two previous proposals for the 'quantum' temperature and an improvement in the description of the diffraction effect. It is shown that one of these two proposals with the improved diffraction effect gives significantly better agreement with quantum Monte Carlo results reported previously for the range of 5≤rs≤40. These results may serve as the basis for the application of this method to finite non-periodic systems like quantum dots and systems at finite temperatures.
| Original language | English |
|---|---|
| Article number | 045502 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2009 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Materials Science(all)
Cite this
A classical-map simulation of two-dimensional electron fluid : Anextension of classical-map hypernetted-chain theory beyond thehypernetted-chain approximation. / Totsuji, Chieko; Miyake, Takashi; Nakanishi, Kenta; Tsuruta, Kenji; Totsuji, Hiroo.
In: Journal of Physics Condensed Matter, Vol. 21, No. 4, 045502, 2009.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A classical-map simulation of two-dimensional electron fluid
T2 - Anextension of classical-map hypernetted-chain theory beyond thehypernetted-chain approximation
AU - Totsuji, Chieko
AU - Miyake, Takashi
AU - Nakanishi, Kenta
AU - Tsuruta, Kenji
AU - Totsuji, Hiroo
PY - 2009
Y1 - 2009
N2 - A method for numerically simulating quantum systems is proposed and applied to the two-dimensional electron fluid at T = 0. This method maps quantum systems onto classical ones in the spirit of the classical-map hypernetted-chain theory and performs simulations on the latter. The results of the simulations are free from the assumption of the hypernetted-chain approximation and the neglect of the bridge diagrams. A merit of this method is the applicability to systems with geometrical complexity and finite sizes including the cases at finite temperatures. Monte Carlo and molecular dynamics simulations are performed corresponding to two previous proposals for the 'quantum' temperature and an improvement in the description of the diffraction effect. It is shown that one of these two proposals with the improved diffraction effect gives significantly better agreement with quantum Monte Carlo results reported previously for the range of 5≤rs≤40. These results may serve as the basis for the application of this method to finite non-periodic systems like quantum dots and systems at finite temperatures.
AB - A method for numerically simulating quantum systems is proposed and applied to the two-dimensional electron fluid at T = 0. This method maps quantum systems onto classical ones in the spirit of the classical-map hypernetted-chain theory and performs simulations on the latter. The results of the simulations are free from the assumption of the hypernetted-chain approximation and the neglect of the bridge diagrams. A merit of this method is the applicability to systems with geometrical complexity and finite sizes including the cases at finite temperatures. Monte Carlo and molecular dynamics simulations are performed corresponding to two previous proposals for the 'quantum' temperature and an improvement in the description of the diffraction effect. It is shown that one of these two proposals with the improved diffraction effect gives significantly better agreement with quantum Monte Carlo results reported previously for the range of 5≤rs≤40. These results may serve as the basis for the application of this method to finite non-periodic systems like quantum dots and systems at finite temperatures.
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UR - http://www.scopus.com/inward/citedby.url?scp=63649131309&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/21/4/045502
DO - 10.1088/0953-8984/21/4/045502
M3 - Article
C2 - 21715808
AN - SCOPUS:63649131309
VL - 21
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
SN - 0953-8984
IS - 4
M1 - 045502
ER -