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首页> 外文期刊>Philosophical magazine, B. Physics of condensed matter, electronic, optical, and magnetic properties >Composite fermions and quantum Hall systems: role of the Coulomb pseudopotential
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Composite fermions and quantum Hall systems: role of the Coulomb pseudopotential

机译：复合费米子和量子霍尔系统：库仑伪势的作用

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The mean-field composite fermion (CF) picture successfully predicts angular momenta of multiplets forming the lowest-energy band in fractional quantum Hall (FQH) systems. This success cannot be attributed to a cancellation between Coulomb and Chern-Simons interactions beyond the mean field, because these interactions have totally different energy scales. Rather, it results from the behaviour of the Coulomb pseudopotential V(L) (pair energy as a function of pair angular momentum) in the lowest Landau level (LL). The class of short-range repulsive pseudopotentials is defined that lead to short-range Laughlin-like correlations in many-body systems and to which the CF model can be applied. These Laughlin correlations are described quantitatively using the formalism of fractional parentage. The discussion is illustrated with an analysis of the energy spectra obtained in numerical diagonalization of up to 11 electrons in the lowest and excited LLs. The qualitative difference in the behaviour of V(L) is shown to invalidate sometimes the mean-field CF picture when applied to higher LLs. For example, the v = 7/3 state is not a Laughlin v = 1/3 state in the first excited LL. The analysis of the involved pseudopotentials also explains the success or failure of the CF picture when applied to other systems of charged fermions with Coulomb repulsion, such as the Laughlin quasiparticles in the FQH hierarchy or charged excitons in an electron-hole plasma. [References: 35]
机译：平均场复合费米子（CF）图片成功地预测了在分数量子霍尔（FQH）系统中形成最低能带的多重态的角矩。这种成功不能归因于库伦和陈-西蒙斯相互作用在平均场之外的抵消，因为这些相互作用具有完全不同的能级。而是由最低兰道能级（LL）的库仑伪势V（L）（成对能量作为成对角动量的函数）的行为引起的。定义了短距离斥力伪势的类别，该类别在多体系统中导致短距离Laughlin似的相关性，并且可以将CF模型应用到其中。这些Laughlin相关性使用分数父母制的形式主义进行了定量描述。通过对最低和激发的LL中多达11个电子的数值对角化获得的能谱进行分析，说明了这一讨论。当应用于较高的LL时，V（L）行为的质的差异有时会使平均场CF图像无效。例如，在第一受激LL中，v ＝ 7/3状态不是拉夫林v ＝ 1/3状态。对涉及的伪电位的分析还解释了将CF图像应用于具有库仑排斥力的其他带电费米子系统（例如FQH层次的Laughlin准粒子或电子-空穴等离子体中的带电激子）时的成功或失败情况。 [参考：35]

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