Effect of four-spin cyclic exchange on magnetism is studied in the two-leg S=1/2 ladder. We develop an exact spin-chirality duality transformation, under which the system is self-dual when the four-spin exchange J4 is half of the two-spin exchange. Using the density-matrix renormalization-group method and the duality relation, we find that the four-spin exchange makes the vector-chirality correlation dominant. A "chirality short-range resonating-valence-bond" phase is identified for the first time at large J4.
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| http://dx.doi.org/10.1103/PhysRevLett.90.087204 | DOI Listing |
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Spin-chirality duality in a spin ladder with four-spin cyclic exchange.
Phys Rev Lett
February 2003
Computational Materials Science Center, National Institute for Materials Science, Tsukuba, Ibaraki 305-0047, Japan.
Effect of four-spin cyclic exchange on magnetism is studied in the two-leg S=1/2 ladder. We develop an exact spin-chirality duality transformation, under which the system is self-dual when the four-spin exchange J4 is half of the two-spin exchange. Using the density-matrix renormalization-group method and the duality relation, we find that the four-spin exchange makes the vector-chirality correlation dominant.
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