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oai:www.ideals.illinois.edu:2142/100886 2023-07-11 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

Van Harlingen, Dale Bezryadin, Alexey Vishveshwara, Smitha Filippini, Jeffrey Zhang, Can 2018-09-04T20:26:28Z 2018-09-04T20:26:28Z 2018-01-17 2018-05 In this thesis, we present current-phase relation (CPR) study of S-TI-S lateral Josephson junction (TIJJ). In a magnetic field, localized Majorana bound states (MBS) are predicted to exist at the core of Josephson vortices. One of the key characteristics of such MBS in TIJJ system is that they possess a 4π periodic CPR, instead of conventional 2π sinusoidal CPR. Our measurements of the critical current vs magnetic field modulation patterns have shown even-odd node-lifting effect in our TIJJ devices, which we interpret as evidence for a 4π-periodic sin(ϕ/2)-component in the Josephson CPR. This has motivated a model for the nucleation and manipulation of these MBS. We present a comprehensive study of a series of experiments designed to test in detail specific features of this model: (1) testing whether there is an even-odd pattern of node-lifting, (2) identifying irregular changes in the diffraction pattern that could indicate the abrupt entry of Majorana pairs, (3) searching for non-sinusoidal components in direct measurements of the CPR using an asymmetric SQUID technique. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-08-31 without embargo terms The student, Can Zhang, accepted the attached license on 2017-12-25 at 23:30. The student, Can Zhang, submitted this Dissertation for approval on 2017-12-25 at 23:43. This Dissertation was approved for publication on 2018-01-17 at 15:26. DSpace SAF Submission Ingestion Package generated from Vireo submission #12000 on 2018-08-31 at 17:07:56 Made available in DSpace on 2018-09-04T20:26:28Z (GMT). No. of bitstreams: 3 ZHANG-DISSERTATION-2018.pdf: 5583297 bytes, checksum: 659e19e11d385a17e06ea197f6db7d1f (MD5) LICENSE.txt: 4206 bytes, checksum: dc1ce5392ce3a8b8a358ea07eed27b01 (MD5) PROQUEST_LICENSE.txt: 4552 bytes, checksum: e7e263e4feec4d1d63132bd87e78738a (MD5) Previous issue date: 2018-01-17 application/pdf http://hdl.handle.net/2142/100886 en © 2017 by Can Zhang. All rights reserved. Topological Insulator Josephson Junction Majorana Fermion Majorana Bound states Superconductivity Current-Phase Relation Investigation of current-phase relation in topological insulator Josephson junction text text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.