{"paper":{"title":"Boundary Potential Method for Describing Electron Teleportation in an Interferometer with a Topological Superconductor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A boundary potential method based on scattering theory calculates conductance in topological superconductor interferometers while enforcing the electron number constraint.","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Kyosuke Mizuno, Yositake Takane, Yuto Takarabe","submitted_at":"2026-04-03T05:19:52Z","abstract_excerpt":"One-dimensional topological superconductors accommodate a pair of Majorana zero modes at their ends. In an interferometer containing such a topological superconductor, electron transport is significantly affected by the Majorana zero modes constituting a nonlocal state localized near both ends of the superconductor. When the number of electrons $\\mathcal{N}$ in the superconductor is constrained by a charging effect, the resonant tunneling through the nonlocal state is expected to result in unusual transport properties. This resonant tunneling, called electron teleportation, is not easy to desc"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We propose a boundary potential method based on scattering theory for calculating the conductance of the interferometer under a given constraint on N. This method enables us to calculate the conductance taking account of relevant charging energy and details of the system.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The boundary potential can effectively enforce the constraint on electron number N and capture the resonant tunneling through the non-local Majorana state without needing additional many-body corrections or full microscopic modeling.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A boundary potential method using scattering theory is proposed to compute conductance in topological superconductor interferometers under electron number constraints.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A boundary potential method based on scattering theory calculates conductance in topological superconductor interferometers while enforcing the electron number constraint.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"dc13279942cacbda252548178f9a20af243d289c68f65c9c420c2c50b2df6fec"},"source":{"id":"2604.02737","kind":"arxiv","version":2},"verdict":{"id":"2841685d-1bc8-405d-a72b-956c202ffcf9","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-13T18:46:59.232845Z","strongest_claim":"We propose a boundary potential method based on scattering theory for calculating the conductance of the interferometer under a given constraint on N. This method enables us to calculate the conductance taking account of relevant charging energy and details of the system.","one_line_summary":"A boundary potential method using scattering theory is proposed to compute conductance in topological superconductor interferometers under electron number constraints.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The boundary potential can effectively enforce the constraint on electron number N and capture the resonant tunneling through the non-local Majorana state without needing additional many-body corrections or full microscopic modeling.","pith_extraction_headline":"A boundary potential method based on scattering theory calculates conductance in topological superconductor interferometers while enforcing the electron number constraint."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.02737/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d0386118fc866f112b0b5c933e3c31ae92a4e93b5da531ae7e30128d37d9c61f"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}