Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
复制标题
最低电子朗道能级希尔伯特空间中的复合费米子
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
R. K. Kamilla
中科院分区：
文献类型：
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作者：
Jainendra K. Jain;Jainendra K. Jain;R. K. Kamilla;R. K. Kamilla
得到了复合费米子的单粒子基函数，由此可以用标准的方式，即通过构造斯莱特行列式，构造出限制在最低电子朗道能级的多个复合费米子态。这种表示使得能够对包含大量复合费米子的系统进行蒙特卡罗研究，从而产生新的定量和定性信息。计算了一些分数量子霍尔效应(FQHE)态的基态能量以及带电和中性激发的能隙，这是早期定量研究的禁区。基态能量的精度估计在~0.1%，能隙在几个百分点的水平上。结果还表明，当朗道能级填充小于或等于1/9时，FQHE对复合费米子激子的自发产生是不稳定的。此外，这种方法提供了对复合费米子波函数结构的新的概念见解，肯定地解决了是否有可能完全在最低朗道能级内激发复合费米子理论，而不要求更高的朗道能级。
Single particle basis functions for composite fermions are obtained from which many-composite fermion states confined to the lowest electronic Landau level can be constructed in the standard manner, i.e. by building Slater determinants. This representation enables a Monte Carlo study of systems containing a large number of composite fermions, yielding new quantitative and qualitative information. The ground state energy and the gaps to charged and neutral excitations are computed for a number of fractional quantum Hall effect (FQHE) states, earlier off-limits to a quantitative investigation. The ground state energies are estimated to be accurate to ~0.1% and the gaps at the level of a few percent. It is also shown that at Landau level fillings smaller than or equal to 1/9 the FQHE is unstable to a spontaneous creation of excitons of composite fermions. In addition, this approach provides new conceptual insight into the structure of the composite fermion wave functions, resolving in the affirmative the question of whether it is possible to motivate the composite fermion theory entirely within the lowest Landau level, without appealing to higher Landau levels.