Critical exponents for alternation in Heisenberg antiferromagnetic chains

Ramasesha, S. ; Soos, Z. G. (1983) Critical exponents for alternation in Heisenberg antiferromagnetic chains Solid State Communications, 46 (7). pp. 509-511. ISSN 0038-1098

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/003810...

Related URL: http://dx.doi.org/10.1016/0038-1098(83)90679-8

Abstract

The ground-state energy per site, λ(δ), and singlet-triplet gap, ΔE(δ), of regular (δ=0) and alternating (δ ≤0.01) Heisenberg antiferromagnetic chains are obtained by extrapolating exact numerical solutions of even and odd rings and chains of N≤20 spins. The critical exponents of 1.72±0.02 for λ(δ) and 0.9±0.1 for ΔE(δ) are compared with recent theoretical results for spin-Peierls transitions. Interactions among spinless fermions alter the instability to alternation.

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