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Dimensional crossover in alternating spin chains

Authors
Journal
Physica B Condensed Matter
0921-4526
Publisher
Elsevier
Publication Date
Volume
320
Identifiers
DOI: 10.1016/s0921-4526(02)00743-3
Keywords
  • Mixed Spin-Chains
  • Antiferromagnetism
  • Quasi-One-Dimensional Systems
Disciplines
  • Physics

Abstract

Abstract The effect of antiferromagnetic interchain coupling in alternating spin (1, 1 2 ) chains is studied by means of spin wave (SW) theory and density matrix renormalization group (DMRG). Two limiting cases are investigated, the two-leg ladder and its two-dimensional (2D) generalization. For the 2D case, SW approximation predicts a smooth-dimensional crossover keeping the ground state ordered, whereas in the ladder case the DMRG results show a gapped ground state for any J ⊥>0. Furthermore, the behavior of the correlation functions closely resemble the uniform spin- 1 2 ladder. However, for small J ⊥, the gap behaves quadratically as Δ∼0.6 J ⊥ 2. Similarly to uniform spin chains, it is conjectured an analogous spin gap behavior for an arbitrary number of mixed spin chains.

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