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arXiv:nlin/0010021 · Journal of Statistical Physics

Finite Size XXZ Spin Chain with Anisotropy Parameter Δ= $$ \frac{1} {2} $$

V. Fridkin, Yu. Stroganov, D. Zagier

Published Feb 1, 2001• 26 citations
arXivHTMLPDF
DOI
10.1023/a:1004898802809

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Ground-state properties of ferrimagnetic XXZ chains with alternating spins S A and S B with nearest-neighbor exchange interaction are discussed based upon the results for finite-size systems obtained mainly by the exact diagonalization method and partly by the density matrix renormalization group method. For -1<Δ<1, where Δ is the parameter of anisotropy of the interactions, the ground state is unique or doubly degenerate and gapless. When Δ=1, the ground state of 2 N sites is the state with total spin N | S A - S B |, and has nonvanishing Néel long-range order parameter. For Δ>1, the ground state is doubly degenerate Néel long-range ordered state with a finite energy gap.