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We elevate this statement into a constructive modeling program by deriving tight-binding transport Hamiltonians directly in real space from the line-group symmetries of single and double helices, supplemented by time-reversal invariance. The result is a symmetry-complete nearest-neighbor parametrization for mobile \u03c0-like (pz) orbitals: intra-strand motion admits both spin-preserving and spin-flip channels, whereas the inter-strand sector of the symmetric double helix is purely spin-active. We further provide a microscopic Slater\u2013Koster interpretation of the allowed couplings, identifying s\u2013p\u2013d pathways in which atomic spin\u2013orbit interaction cooperates with the intrinsic inversion-asymmetry field of the helix, so that Rashba-like terms emerge as an internal consequence of chirality rather than as an externally imposed ingredient. Finally, we give compact Bloch Hamiltonians and the corresponding momentum-dependent effective spin\u2013orbit fields that determine band splittings and spin textures, establishing a controlled baseline for parameterization and quantum-transport modeling of DNA-like helices.<\/jats:p>","DOI":"10.1063\/5.0333936","type":"journal-article","created":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T10:32:20Z","timestamp":1777372340000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Transport Hamiltonians for helical spintronics: Derivation from symmetries"],"prefix":"10.1063","volume":"164","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3322-2318","authenticated-orcid":false,"given":"Pablo","family":"Mendieta-Alvarez","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Colegio de Ciencias e Ingenieria, Universidad San Francisco de Quito 1 , Diego de Robles y Via Interoceanica, Quito 17901,","place":["Ecuador"]},{"name":"Departamento de F\u00edsica, Colegio de Ciencias e Ingenieria, Universidad San Francisco de Quito 2 , Diego de Robles y Via Interoceanica, Quito 17901,","place":["Ecuador"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8800-3408","authenticated-orcid":false,"given":"Valeria","family":"Bedoya","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Colegio de Ciencias e Ingenieria, Universidad San Francisco de Quito 2 , Diego de Robles y Via Interoceanica, Quito 17901,","place":["Ecuador"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1566-0170","authenticated-orcid":false,"given":"Ernesto","family":"Medina","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Colegio de Ciencias e Ingenieria, Universidad San Francisco de Quito 2 , Diego de Robles y Via Interoceanica, Quito 17901,","place":["Ecuador"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0613-5996","authenticated-orcid":false,"given":"Denis","family":"Kochan","sequence":"additional","affiliation":[{"name":"Department of Physics and Center for Quantum Frontiers of Research and Technology (QFort), National Cheng Kung University 3 , Tainan 70101,","place":["Taiwan"]},{"name":"Institute of Physics, Slovak Academy of Sciences 4 , 84511 Bratislava,","place":["Slovakia"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2026,4,28]]},"reference":[{"key":"2026042806311902900_c1","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1146\/annurev-physchem-040214-121554","volume":"66","year":"2015","journal-title":"Annu. 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