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25 April 2024
 
  » arxiv » cond-mat/0601293

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Parity law of the singlet-triplet gap in graphitic ribbons
Mohamad Al Hajj ; Fabien Alet ; Sylvain Capponi ; Marie Bernadette Lepetit ; Jean-Paul Malrieu ; Synge Todo ;
Date 13 Jan 2006
Subject Strongly Correlated Electrons; Superconductivity
AbstractThis 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 $n\_{omega}$.
Source arXiv, cond-mat/0601293
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