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Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 2006

Parity law of the singlet-triplet gap in graphitic ribbons

Résumé

This work explores the possibility to transfer the parity law of the singlet-triplet gap established for square ladders (gapped for even number of legs, gapless for odd number of legs) to fused polyacenic 1-D systems, i.e., graphite ribbons. Qualitative arguments are presented in favor of a gapped character when the number $n_{\omega}$ of benzene rings along the ribbon width is odd. A series of numerical calculations (quantitative mapping on spin $1/2$ chains, renormalized excitonic treatments and Quantum Monte Carlo) confirm the parity law and the gapless character of the ribbon for even $n_{\omega}$.
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Dates et versions

hal-00016955 , version 1 (13-01-2006)
hal-00016955 , version 2 (24-01-2006)
hal-00016955 , version 3 (24-08-2006)

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Citer

Mohamad Al Hajj, Fabien Alet, Sylvain Capponi, Marie-Bernadette Lepetit, Jean-Paul Malrieu, et al.. Parity law of the singlet-triplet gap in graphitic ribbons. The European Physical Journal B: Condensed Matter and Complex Systems, 2006, 51, pp.517. ⟨10.1140/epjb/e2006-00259-9⟩. ⟨hal-00016955v3⟩
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