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Pré-Publication, Document De Travail Année : 2006

Conjecture of a parity law regarding the singlet-triplet gap in graphitic ribbons

Mohamad Al Hajj
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Fabien Alet
Sylvain Capponi
Jean-Paul Malrieu
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  • PersonId : 831948

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 gapless character when the number $n_{\omega}$ of legs 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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Mohamad Al Hajj, Fabien Alet, Sylvain Capponi, Marie-Bernadette Lepetit, Jean-Paul Malrieu. Conjecture of a parity law regarding the singlet-triplet gap in graphitic ribbons. 2006. ⟨hal-00016955v1⟩

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