论文标题
在具有均匀梯度的磁场中的二维电子气体中交换力引起的不稳定性
Instability induced by exchange forces in a 2-D electron gas in a magnetic field with uniform gradient
论文作者
论文摘要
理论上研究了交换相互作用的电子，该电子局限于限制在垂直于平面的线性变化的磁场中的2-D样品。预测不寻常和有趣的行为：从零开始，因为人们将电子添加到系统中，其大小将不断增加，但会崩溃。但是，随着数字越过另一个临界值，我们在这里估计，这种崩溃将被逆转。对于典型的2DEG的电子参数，可以在足够低的电子密度下观察到不稳定性。得出和调查了Hartree Fock方程。我们还表明，在适当的渐近极限中，可以得出近似局部电位。一个关键的教训是，交换互动很大，不能合理地排除在任何有效的理论研究之外。
The exchange interaction is investigated theoretically for electrons confined to a 2-D sample placed in a linearly varying magnetic field perpendicular to the plane. Unusual and interesting behavior is predicted: starting from zero, as one adds electrons to the system, its size will increase continuously but will then collapse. However this collapse will be reversed as the number crosses another critical value, which we estimate here. For electron parameters typical for 2DEG's, the instability could be observable at sufficiently low electron densities. A Hartree Fock equation is derived and investigated. We also show that in an appropriate asymptotic limit an approximate local potential can be derived. One key lesson is that the exchange interaction is large and cannot be reasonably excluded from any valid theoretical investigation.
