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

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 η=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.

arXiv comment5 pages, 5 figures

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• DMRG studies of critical SU(N) spin chains
• Antiferromagnetic spin-S chains with exactly dimerized ground states
• A family of spin-S chain representations of SU(2)_k Wess-Zumino-Witten models
• Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
• Parafermion excitations in superfluid of quasi-molecular chains

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