{"paper":{"title":"Probing the Chirality of Trigonal Selenium and Tellurium by Spin and Orbital Hall Effects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Trigonal selenium and tellurium exhibit opposite signs in specific spin and orbital Hall conductivity components between left- and right-handed enantiomers due to mirror symmetry.","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Heng Gao, Wei Ren, YingJie Hu, Yuting Xiong","submitted_at":"2026-05-14T07:48:42Z","abstract_excerpt":"Chiral crystals exhibit enantiomer-dependent transport phenomena that generate pure spin or orbital currents, while the handedness sensitivity of spin and orbital Hall conductivities (SHC/OHC) remains insufficiently understood. Using first-principles calculations, we demonstrate that trigonal selenium and tellurium -- prototypical chiral semiconductors -- exhibit opposite signs of the SHC/OHC tensor elements $\\sigma_{yx}^{S_y}$ and $\\sigma_{yx}^{L_y}$ between their left- and right-handed enantiomers. This behavior originates from the mirror operation relating the two structures, described by s"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"trigonal selenium and tellurium exhibit opposite signs of the SHC/OHC tensor elements σ_yx^{S_y} and σ_yx^{L_y} between their left- and right-handed enantiomers. This behavior originates from the mirror operation relating the two structures, described by space groups P3_221 (left-handed) and P3_121 (right-handed).","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The first-principles calculations accurately capture the antisymmetric transformation of the spin/orbital Berry curvature under the M_xy mirror operation without significant errors from exchange-correlation approximations or numerical convergence.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Left- and right-handed trigonal Se and Te enantiomers exhibit opposite signs in the σ_yx^{S_y} and σ_yx^{L_y} components of spin and orbital Hall conductivities due to mirror symmetry between their space groups.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Trigonal selenium and tellurium exhibit opposite signs in specific spin and orbital Hall conductivity components between left- and right-handed enantiomers due to mirror symmetry.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"bd17cac79f042849ccdcaf149a91037b84a8f7745e9d30c49d5440961cc7a707"},"source":{"id":"2605.14506","kind":"arxiv","version":1},"verdict":{"id":"6c11d348-140d-415c-8360-f987eaa8674a","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:41:51.490689Z","strongest_claim":"trigonal selenium and tellurium exhibit opposite signs of the SHC/OHC tensor elements σ_yx^{S_y} and σ_yx^{L_y} between their left- and right-handed enantiomers. This behavior originates from the mirror operation relating the two structures, described by space groups P3_221 (left-handed) and P3_121 (right-handed).","one_line_summary":"Left- and right-handed trigonal Se and Te enantiomers exhibit opposite signs in the σ_yx^{S_y} and σ_yx^{L_y} components of spin and orbital Hall conductivities due to mirror symmetry between their space groups.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The first-principles calculations accurately capture the antisymmetric transformation of the spin/orbital Berry curvature under the M_xy mirror operation without significant errors from exchange-correlation approximations or numerical convergence.","pith_extraction_headline":"Trigonal selenium and tellurium exhibit opposite signs in specific spin and orbital Hall conductivity components between left- and right-handed enantiomers due to mirror symmetry."},"references":{"count":65,"sample":[{"doi":"","year":2023,"title":"G. Rikken and N. Avarvari, Comparing electrical mag- netochiral anisotropy and chirality-induced spin selectiv- ity, The Journal of Physical Chemistry Letters14, 9727 (2023)","work_id":"77b4e3c4-fc6f-4bee-a1de-1447deac3a9f","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"J. S. Siegel, Homochiral imperative of molecular evo- lution, Chirality: The Pharmacological, Biological, and Chemical Consequences of Molecular Asymmetry10, 24 (1998)","work_id":"5dfbedf2-5f4c-494f-8e07-6523b938b108","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"W. T. B. Kelvin,The molecular tactics of a crystal (Clarendon Press, Oxford, 1894)","work_id":"a9d16ae5-bab8-4cad-9c38-3fac7f2184cd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2010,"title":"W. Thomson and B. Kelvin,Baltimore lectures on molec- ular dynamics and the wave theory of light(Cambridge University Press, Cambridge, 2010)","work_id":"e67d76c0-37ff-45ca-9f8e-6b6b46f7f149","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2022,"title":"G. H. Fecher, J. K¨ ubler, and C. Felser, Chirality in the solid state: Chiral crystal structures in chiral and achiral space groups, Materials15, 5812 (2022)","work_id":"f39bcd39-c611-47bd-b881-925d804ea2dd","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":65,"snapshot_sha256":"775005a22f340b6decc22c368af9746daec9124bb98bddc622c01fde86637574","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"747ed0ce54f68ff5035aa9a45c42ef7d74a18f27caa65de4a8c4d20207870baf"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}