Long-range magnetic order and the Darwin Lagrangian

被引:0
作者
Mehra, Vishal [1 ]
De Luca, Jayme [1 ]
机构
[1] Departamento de Física, Universidade Federal de São Carlos, Rod. Washington Luiz km 235, 13565-905, Caixa Postal 676, São Carlos,SP, Brazil
来源
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2000年 / 61卷 / 02期
关键词
Kinetics - Kinetic energy;
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摘要
We simulate a finite system of N confined electrons with inclusion of the Darwin magnetic interaction in two and three dimensions. The lowest-energy states are located using the steepest descent quenching adapted for velocity dependent potentials. Below a critical density the ground state is a static Wigner lattice. For supercritical density the ground state has a nonzero kinetic energy. The critical density decreases with N for exponential confinement but not for harmonic confinement. The lowest-energy state also depends on the confinement and dimension: an antiferromagnetic cluster forms for harmonic confinement in two dimensions. ©2000 The American Physical Society.
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页码:1199 / 1205
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