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Parity law of the singlet-triplet gap in graphitic ribbons

2006/01/31 by Mohamad Al Hajj, Fabien Alet, Sylvain Capponi +5
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1140/epjb/e2006-00259-9

published as European Physical Journal B 51 (2006) 517 · 7 pages, 7 figures, published version

openalex publication_date 2006/06/01 · arxiv created 2006/08/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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_ω 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_ω.

Citations