.png){kind=icon}
返回
Effective potentials in the integral quantum Hall effect
.png){kind=icon}
OA
AI
DOI：10.1103/PhysRevB.67.245322.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The exact n-body distribution functions are calculated for a two-dimensional, noninteracting quantum electron gas in an external magnetic field for any temperature and density. At low temperature and filled lowest Landau level, these functions are identical to the exact distribution functions obtained by Jancovici [Phys. Rev. Lett. 46, 386 (1981)] for the classical two-dimensional one-component plasma (2DOCP) at the special plasma parameter Gamma=2. This establishes that the quantum state with filling factor nu=1, associated with the integral quantum Hall effect, is precisely described by an effective classical potential phi(r)=-2 ln r, so that a classical Boltzmann factor of 2DOCP form can replace the quantum Slater sum. Further, this Boltzmann factor exactly matches that constructed by Laughlin [Phys. Rev. Lett. 50, 1395 (1983)] to account for the fractional quantum Hall effect. Additional effective potentials for higher filling factors nu=2,3,... are obtained semianalytically from the exact Yvon-Born-Green integral equation and numerically from the approximate hypernetted-chain integral equation. They have the asymptotic form phi(r)similar to-(2/nu)ln r.
Keyword:
ONE-COMPONENT PLASMA
FERMI-HYPERNETTED-CHAIN
FILLED LANDAU-LEVEL
ELECTRON-GAS
STATE
FLUID
EQUATION
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
机构
暂无机构信息
引用论文
The effect of solution acidity on the response of the lanthanum trifluoride single-crystal electrode
PREAI
分享收藏Jet impingement technique for heat transfer enhancement: Discovering future research trends喷射冲击强化传热技术：探索未来研究方向
PREAI
分享收藏Fermi-hypernetted-chain study of unprojected wave functions to describe the half-filled state of the fractional quantum Hall effect.png)
PHYSICAL REVIEW B
PHYSICAL REVIEW BIF3.7
PREAI
分享收藏
查看更多内容