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 strategies in a single measurement together with conformal-field theoretical methods, the appliance of quantum teams, and numerical diagonalization concepts. a variety of key homes are awarded 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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XanO(rn}lO). e. Jdrl L"· Jdrn L IW(rll:tl, ... rnl:tnW = 0'1 1. [9] we have shown that all wave functions W(rll:tI, ... rnl:tn ) and eigenvalues are the same as those of v-component free fermions. The presence of supersymmetry is essential in this surprising cancellation of the hard-core constraint against the exchangetype interaction. 5. (1) by a fermion creation operator d~i . Then Xfo = d~iC! creates a hard-core boson. There emerges the SU(v + 1) symmetry by this replacement. Instead of the graded permutation operator Fij the usual permutation operator Pij should be used in constructing the model.

15] B. Rev. B38, 5589 (1988). [16) B. Sutherland, Phys. Rev. A4, 2019 (1971). A. M. Perelomov, Phys. Rep. 94, 313 (1983). M. Haldane, Phys. Rev. Lett. 66, 1529 (1991). [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 change of basis corresponds to Orthogonal transformations on H induced by an arbitrary 0 via H' = OHOT. In the component form this transformation gives H~ = LvR(IlIII)Hv, with p. "R(vIJL)g,.. Armed with these relations we can show 9" the basis independence of the Langevin equations Eq(9) easily since under a change of basis (~(t) = L" R(JLlv)("(t), and hence the correlator < ('(' > is unchanged. "',Ie may also show the invariance of the F-P equation Eq(8) under the change of basis by a direct computation.

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