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The length scale measurements of the Fractional quantum Hall state on cylinder | | Qi Li
; Na Jiang
; Zheng Zhu
; Zi-Xiang Hu
; | | Date: |
25 May 2015 | | Abstract: | The fractional quantum Hall droplet can undergo a series of phase transitions
on the cylinder geometry via varying the aspect ratio in a finite size system.
Since the distance between two ends is linear as a function of the system size
and can be easily tuned by varying the aspect ratio, we systematically study
the quasiparticle tunnelling amplitudes, the wave function overlap, bipartite
entanglement and the electron Green’s function of the Laughling state at $
u =
1/3$. Two critical length scales of the edge-edge distance, $L_x^{c_1}$ and
$L_x^{c_2}$, are found to be related to the dimension reduction and back
scattering point respectively. | | Source: | arXiv, 1505.6521 | | Services: | Forum | Review | PDF | Favorites | |
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