二维荷电粒子维格纳晶格:边界效应

计算物理 ›› 2006, Vol. 23 ›› Issue (4): 470-476.

二维荷电粒子维格纳晶格:边界效应

张振中^1,2, 蒋昌忠¹, 常凯²

1. 武汉大学物理与科学技术学院, 湖北武汉 430072;
2. 中国科学院半导体物理研究所超晶格国家重点实验室, 北京 100083

收稿日期:2005-04-12 修回日期:2005-07-06 出版日期:2006-07-25 发布日期:2006-07-25
作者简介:张振中(1980-),男,湖北,硕士,主要从事凝聚态物理与计算物理方面的研究.
基金资助:
国家自然科学基金(60376016);863(2003AA311070)资助项目

Two Dimensional Charged Particle Wigner Crystal Lattices:the Boundary Effect

ZHANG Zhen-zhong^1,2, JIANG Chang-zhong¹, CHANG Kai²

1. Department of Physics, Wuhan University, Wuhan 430072, China;
2. National Laboratory for Superlattices and Microstructures, Institute of Semiconductor, Chinese Academy of Sciences, Beijing 100083, China

Received:2005-04-12 Revised:2005-07-06 Online:2006-07-25 Published:2006-07-25

摘要/Abstract

摘要： 采用一种非线性的优化方法,研究了处于硬壁限制势下二维带电多粒子系统的基态,分析不同形状边界对系统基态构型的影响.由于圆形边界对称性高,基态结构和抛物限制势下情况相似.在正方形边界下,当系统粒子数N<66时,荷电粒子形成方形晶格;当N≥66时,由于边界影响被削弱,内层粒子形成六角维格纳晶格.进一步分析了椭圆和矩形边界对维格纳晶格的影响.

关键词: 维格纳晶格, 边界效应

Abstract: A nonlinear optimizing method is applied to study the ground state configurations of a two-dimensional charged particle system in a hard-wall confining potential.We find that the circular shell configurations in a circular hard wall confinement are similar to that in a parabolic confining potential.With a hard-wall square boundary,the Wigner crystal lattice is square as the number of particles N<66,but becomes a hexagon as N≥66 since the boundary effect is weak for inner particles.The influence of the elliptic and rectangular boundary on the wigner crystal lattice is analyzed.

Key words: wigner crystal lattice, boundary effect

中图分类号:

O411.2

张振中, 蒋昌忠, 常凯. 二维荷电粒子维格纳晶格:边界效应[J]. 计算物理, 2006, 23(4): 470-476.

ZHANG Zhen-zhong, JIANG Chang-zhong, CHANG Kai. Two Dimensional Charged Particle Wigner Crystal Lattices:the Boundary Effect[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(4): 470-476.