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It is calculated as a function of electron concentration $ns$ and temperature $T$ and compared with $F_{DP} (T, n_s)$ that due to deformation potential coupling. For the $n_s$ around $1\\times10^{12} cm^{-2}$, $F_{VP} (T, n_s)$ is much smaller than $F_{DP} (T, n_s)$ . With increase of $n_s$, $F_{DP} (T, n_s)$ decreases faster than $F_{VP} (T, n_s)$ does. A cross over is predicted and dominant contribution of $F_{VP} (T, n_s)$ can be observed at"},"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":"1706.08553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-06-26T18:38:34Z","cross_cats_sorted":[],"title_canon_sha256":"938d45135260456c2832e8544de0995a84ebb114be791d343ccc3686d22cf69c","abstract_canon_sha256":"feaa9d5d4350f79f4a86ca0f758b6cc472fb1a9e8a4d0d22e1c5d0eae68950dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:09.164420Z","signature_b64":"SqSxsnnqsDcsXVuPRshIO3I8ZhG5fQOxoC5t2N4L64Q/zj1skcygFoimTSPpnzMOCUAEFpfjvl4R9Y+KzgSwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d48323c8c54cedbd106fca40b1807c9ff6a3c050e6b011b0383e150f1899c8af","last_reissued_at":"2026-05-18T00:32:09.163726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:09.163726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The role of vector potential coupling in hot electron cooling power in bilayer graphene at low temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"S. 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