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The charge current has the form $A[\\bm M_1(t)\\times\\dot{\\bm M}_1(t)]\\cdot\\bm M_2+B\\dot{\\bm M}_1(t)\\cdot\\bm M_2$, where $\\bm M_1(t)$ and $\\bm M_2$ denote the directions of the magnetization in the free layer and fixed layer, respectively. The constant $A$ vanishes when one or both layers are insulators, {while the constant $B$ disappears when both layers are insulators or the same ferromagn"},"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":"1111.4295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-18T07:49:33Z","cross_cats_sorted":[],"title_canon_sha256":"6334bad4aefbd0b7d418079f04a704bf6801e6da8ef63a939164f7f16e2b565a","abstract_canon_sha256":"c6213f6d1a40fdc540e57b349a80af179b10bfe035f35d5e0b2414ac55a17e84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:04.344762Z","signature_b64":"gY+h9e6x2ezjdNLJEvWMLA6ML5XuIlafXCTOoueSjFE51dQiILqxYEziRGP4Z///JaVRgMnyLs52kn/wpipVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abb87f1852b6acda3e0c1603a7741721cbae89bb0a8982a8dc890bb6e5ab3646","last_reissued_at":"2026-05-18T03:54:04.343517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:04.343517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Charge and Spin Transport in Magnetic Tunnel Junctions: Microscopic Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Akimasa Sakuma, Daisuke Miura","submitted_at":"2011-11-18T07:49:33Z","abstract_excerpt":"We study the charge and spin currents passing through a magnetic tunnel junction (MTJ) on the basis of a tight-binding model. 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