Correlation Effects in Low-Dimensional Electron Systems: by F. D. M. Haldane (auth.), Professor Ayao Okiji, Professor

By F. D. M. Haldane (auth.), Professor Ayao Okiji, Professor Norio Kawakami (eds.)

Correlation results in Low-Dimensional Electron Systems describes fresh advancements in theoretical condensed-matter physics, emphasizing distinct recommendations in a single measurement together with conformal-field theoretical ways, the appliance of quantum teams, and numerical diagonalization options. quite a few key homes are offered for two-dimensional, hugely correlated electron systems.

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Extra info for Correlation Effects in Low-Dimensional Electron Systems: Proceedings of the 16th Taniguchi Symposium Kashikojima, Japan, October 25–29, 1993

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Lett. 67, 1338 (1991) N. -K. Yang, Phys. Rev. Lett. 67, 2493 (1991) F. D. M. Haldane, Z. N. C. Ha, J. C. Telstra, D. Bernard, and V. Pasquier, Phys. Rev. Lett. 69 2021 (1992) 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 48 Z. N. C. Ha and F. D. M. Haldane, Phys. Rev. B46, 9359 (1992) N. Kawakami, Phys. Rev. B46, 1005,3192 (1992) A. P. Polychronakos, Phys. Rev. Lett. 69, 703 (1992) H.

19) N. Kawakami, Phys. Rev. B46, 1005 (1992). [20) B. Sutherland and S. Shastry, Phys. Rev. B71, 5 (1993). M. , Phys. Rev. Lett. 69, 2021 (1992). G. B. Phys. B247, 83 (1984). Kawakami Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606, Japan Abstract. Hierarchical electron models with inverse-square interaction are solved in one dimension. The construction of the models is related to that for the fractional quantum Hall effect (FQHE). Under the chiral constraint the model describes characteristic properties of edge states for the FQHE.

Using this similarity [15] we can also work conveniently with the firstquantized representation with the completely polarized state in the direction of a = v as the reference state. Then for each site the vacant state with respect to the original vacuum is represented as a hole, and a state with color a (-I v) is represented by (v - I)-kinds of hard-core bosons. The complete set for the system consists of the product of one-body states inside the Brillouin zone with proper symmetrization. In terms of Zi = exp(i()i), where ()i denotes a coordinate with either a color other than v or a hole, the one-body states are spanned by monomials zf with 0 ~ k < N.

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