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In several iridium-oxide systems, the spin-orbital entangled state, identified by the effective angular momentum $j_{\\rm eff}$, can host novel quantum phases with the help of electron correlations. Here, we show that a series of lacunar spinel compounds, Ga$M_4X_8$ ($M$ = Nb, Mo, Ta, and W and $X$ = S, Se, and Te), gives rise to a $\\textit{molecular}$ $j_{\\rm eff}$ state as a new spin-orbital composite on which the low energy effective Hamiltonian i"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.1358","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-03-06T06:54:42Z","cross_cats_sorted":[],"title_canon_sha256":"4a0314f64ec24d9c2c14c40274e5003797678e74c589a308017332d20301276a","abstract_canon_sha256":"78e8ca9c74d0765fa5da223cbf5355109e4a0b4de6126cff332595fff235af9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:12.785058Z","signature_b64":"gZzvkZXmQVNki/35b26EDYI/1d6N1NB2NU/8QICZsgIL7ufoLK2Aw2APg5r0EJdfUofzLior0SB+++mHfbNQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a4a28c93eacb44f246d262881a47309a58635721b9c1abe9cee2d82a8bc2e8e","last_reissued_at":"2026-05-18T02:50:12.784373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:12.784373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-orbital Entangled Molecular $j_{\\rm eff}$ States in Lacunar Spinel Compounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Heung-Sik Kim, Hosub Jin, Jino Im, Myung Joon Han","submitted_at":"2014-03-06T06:54:42Z","abstract_excerpt":"The entanglement of the spin and orbital degrees of freedom through the spin-orbit coupling has been actively studied in condensed matter physics. 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