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- W3100474484 abstract "We present numerical calculations of the charge and statistics, as extracted from Berry phases, of the Laughlin quasi-particles, near filling fraction 1/3, and for system sizes of up to 200 electrons. For the quasi-holes our results confirm that the charge and statistics parameter are $e/3$ and 1/3, respectively. For the quasi-electron charge we find a slow convergence towards the expected value of $-e/3$, with a finite size correction for $N$ electrons of approximately $-0.13e/N$. The statistics parameter for the quasi-electrons has no well defined value even for 200 electrons, but might possibly converge to 1/3. Most noteworthy, it takes on the same sign as for the quasi-holes, due to terms that have previously been ignored. The anyon model works well for the quasi-holes, but requires singular two-anyon wave functions for modelling two Laughlin quasi-electrons." @default.
- W3100474484 created "2020-11-23" @default.
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- W3100474484 date "1999-02-10" @default.
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- W3100474484 title "NUMERICAL STUDY OF CHARGE AND STATISTICS OF LAUGHLIN QUASIPARTICLES" @default.
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- W3100474484 doi "https://doi.org/10.1142/s0217751x99000270" @default.
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