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arXiv · 1301.5719

Realization of higher Wess-Zumino-Witten models in spin chains

Frédéric Michaud·Salvatore R. Manmana·Frédéric Mila
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Abstract

Building on the generalization of the exactly dimerized Majumdar-Ghosh ground state to arbitrary spin S for the Heisenberg chain with a three-site term (S_{i-1} S_i)(S_i S_{i+1}) + H.c., we use density-matrix renormalization group simulations and exact diagonalizations to determine the nature of the dimerization transition for S=1, 3/2 and 2. The resulting central charge and critical exponent are in good agreement with the SU(2)_{k=2S} Wess-Zumino-Witten values c=3k/(2+k) and \eta=3/(2+k). Since the 3-site term that induces dimerization appears naturally if exchange interactions are calculated beyond second order, these results suggest that SU(2)_{k>1} Wess-Zumino-Witten models might finally be realized in actual spin chains.

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Frédéric Michaud, Salvatore R. Manmana, Frédéric Mila. 2013-01-24. Realization of higher Wess-Zumino-Witten models in spin chains. https://doi.org/10.1103/physrevb.87.140404

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