Abstract
It is generally agreed that there is large positional fluctuation in the ground state in the fractional quantized Hall effect. This is illustrated by a series of correlated Gaussian trial wave functions, one of which possesses an energy comparable to the Laughlin wavefunction as well as a gap in the excitation spectrum. The multiparticle exchange integral of this wave function is found to increase as the number of particles exchanged is increased. The shear modulus for this wave function as well as that of the Laughlin type wave function is calculated and is found to be finite. The effect of exchange is illustrated by considering the fractional quantized Hall effect in narrow channels. It is found that for narrow channels a gap exist in the excitation spectrum for even denominator filling factors. As the channel width is increased, this gap goes to zero and then becomes finite again.
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References
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© 1987 Plenum Press, New York
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Chui, S.T. (1987). Fluctuation and Exchange in the Fractional Quantized Hall Effect. In: Vashishta, P., Kalia, R.K., Bishop, R.F. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0917-8_37
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DOI: https://doi.org/10.1007/978-1-4613-0917-8_37
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