Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-01-13
European Physical Journal B 51 (2006) 517
Physics
Condensed Matter
Strongly Correlated Electrons
7 pages, 7 figures, published version
Scientific paper
10.1140/epjb/e2006-00259-9
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 $n\_{\omega}$.
Alet Fabien
Capponi Sylvain
Hajj Mohamad Al
Lepetit Marie Bernadette
Malrieu Jean-Paul
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