Abstract

As a crucial test for ‘how real are composite ferimons (CF's)’ we have examined the spin states for even-fraction Landau level fillings in the exact diagonalization of finite fractional quantum Hall (FQH) system and those in the CF picture. This is an extension of our recent numerical study for spinless fermions, where a remarkable correspondence in the low-lying excitation spectrum has been found between finite FQH systems and the free CF's in zero magnetic field. The question includes whether the even-fraction states are (fully or partially) spin-polarized or unpolarized. We have shown that both of (i) the total spin and the total angular momentum of the finite FQH system and (ii) spin-resolved low-lying excitation spectra are explained surprisingly well by the CF's in zero magnetic field with Hund(exchange)-coupling of spins.

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