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arXiv cond-mat/9807275cond-mat.mes-hall
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双层量子霍尔系统中的双分子

Bimerons in Double Layer Quantum Hall Systems

Sankalpa Ghosh, R. Rajaraman

摘要:

本文讨论了填充因子为$ν=1$的双层量子霍尔系统的赝自旋织构。双重子是对应于束缚重子和反重子对的激发。其他研究小组已经通过最小化微观试探波函数之间的微观哈密顿量,对双重子解进行了大量的研究。在这里,我们计算它们的数值求解耦合非线性偏微分方程所产生的有效作用的赝自旋纹理的极值。我们还计算了不同的贡献,我们的双重子的能量,来自赝自旋刚度,电容和库仑相互作用的重子。除了扩充以前的结果外,这还使我们能够检验把双重子看作是一对能量不断增长、带有电荷${1 \over 2}$的刚性物体(重子)的近似有多好。我们的微分方程的方法也使我们能够研究的依赖性的自旋纹理作为一个函数的介子之间的距离,和层间距离。最后,解耦合非线性偏微分方程的技术问题,受到特殊的边界条件的双分子是有趣的,在其本身的权利。

英文摘要:

In this paper we discuss bimeron pseudo spin textures for double layer quantum hall systems with filling factor $ν=1$. Bimerons are excitations corresponding to bound pairs of merons and anti-merons. Bimeron solutions have already been studied at great length by other groups by minimising the microsopic Hamiltonian between microscopic trial wavefunctions. Here we calculate them by numerically solving coupled nonlinear partial differential equations arising from extremisation of the effective action for pseudospin textures. We also calculate the different contributions to the energy of our bimerons, coming from pseudospin stiffness, capacitance and coulomb interactions between the merons. Apart from augmenting earlier results, this allows us to check how good an approximation it is to think of the bimeron as a pair of rigid objects (merons) with logarithmically growing energy, and with electric charge ${1 \over 2}$. Our differential equation approach also allows us to study the dependence of the spin texture as a function of the distance between merons, and the inter layer distance. Lastly, the technical problem of solving coupled nonlinear partial differential equations, subject to the special boundary conditions of bimerons is interesting in its own right.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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