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Reduced density-matrix functional theory in quantum Hall systems

机译:量子霍尔系统中的简化密度矩阵泛函理论

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摘要

We apply reduced density-matrix functional theory to the parabolically confined quantum Hall droplet in the spin-frozen strong magnetic field regime. One-body reduced density-matrix functional method performs remarkably well in obtaining ground states, energies, and observables derivable from the one-body reduced density matrix for a wide range of system sizes. At the strongly correlated regime, the results go well beyond what can be obtained with the density-functional theory. However, some of the detailed properties of the system, such as the edge Green's function, are not produced correctly unless we use the much heavier two-body reduced density-matrix method.
机译:我们将降密度矩阵泛函理论应用于自旋冻结强磁场条件下的抛物线约束量子霍尔液滴。单一体密度密度矩阵函数方法在获得从多种系统尺寸的单一体密度密度矩阵派生的基态,能量和可观测量方面表现出色。在强相关机制下,结果远远超出了密度泛函理论所能获得的结果。但是,除非使用更重的两体简化密度矩阵方法,否则无法正确生成系统的某些详细属性,例如边缘格林函数。

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