Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law
Violation of the Wiedemann-Franz law in a 2D topological insulator due to Majorana bound states is studied via the Lorenz ratio in the single-particle picture. We study the scaling of the Lorenz ratio in the presence and absence of Majorana bound states with inelastic scattering modeled using a Butt...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2024-11 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Mishra, Sachiraj Das, Ritesh Benjamin, Colin |
| description | Violation of the Wiedemann-Franz law in a 2D topological insulator due to Majorana bound states is studied via the Lorenz ratio in the single-particle picture. We study the scaling of the Lorenz ratio in the presence and absence of Majorana bound states with inelastic scattering modeled using a Buttiker voltage-temperature probe. We compare our results with that seen in a quantum dot junction in the Luttinger liquid picture operating in the topological Kondo regime. We explore the scaling of the Lorentz ratio in our setup when either phase and momentum relaxation or phase relaxation is present. This scaling differs from that predicted by the Luttinger liquid picture for both uncoupled and coupled Majorana cases. |
| doi_str_mv | 10.48550/arxiv.2309.05492 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2309_05492</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2864023291</sourcerecordid><originalsourceid>FETCH-LOGICAL-a521-4c76e01b729714c7aeeba2ea628d069d1218164302aee1aee522abcbb0a73feb3</originalsourceid><addsrcrecordid>eNotj01PwzAMhiMkJKaxH8CJSJxTEqfpxxFNDJCGuEzasXJbFzJ1SUn3Afx6wsbBsuz39Ss_jN0omaSFMfIew5c9JKBlmUiTlnDBJqC1EkUKcMVm47iRUkKWgzF6wtavuPEBHfKOwtZ6x61r9w21fPBHCqLHIx8b7K17jwrffRA_WN_jLlpH7rvTZm2ppS06JxYx6ofHo2t22WE_0uy_T9lq8biaP4vl29PL_GEp0IASaZNnJFWdQ5mrOCBRjUCYQdHKrGwVqEJlqZYQFRXLAGDd1LXEXHdU6ym7PceeqKsh2C2G7-qPvjrRR8fd2TEE_7mncVdt_D64-FMFRZZK0FAq_Qt4_V2q</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2864023291</pqid></control><display><type>article</type><title>Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Mishra, Sachiraj ; Das, Ritesh ; Benjamin, Colin</creator><creatorcontrib>Mishra, Sachiraj ; Das, Ritesh ; Benjamin, Colin</creatorcontrib><description>Violation of the Wiedemann-Franz law in a 2D topological insulator due to Majorana bound states is studied via the Lorenz ratio in the single-particle picture. We study the scaling of the Lorenz ratio in the presence and absence of Majorana bound states with inelastic scattering modeled using a Buttiker voltage-temperature probe. We compare our results with that seen in a quantum dot junction in the Luttinger liquid picture operating in the topological Kondo regime. We explore the scaling of the Lorentz ratio in our setup when either phase and momentum relaxation or phase relaxation is present. This scaling differs from that predicted by the Luttinger liquid picture for both uncoupled and coupled Majorana cases.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2309.05492</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Fermions ; Inelastic scattering ; Lorenz number ; Mathematics - Mathematical Physics ; Physics - Mathematical Physics ; Physics - Mesoscale and Nanoscale Physics ; Physics - Popular Physics ; Physics - Quantum Physics ; Physics - Strongly Correlated Electrons ; Quantum dots ; Scaling ; Topological insulators</subject><ispartof>arXiv.org, 2024-11</ispartof><rights>2024. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://creativecommons.org/licenses/by-nc-nd/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27916</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2309.05492$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1063/5.0236520$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Mishra, Sachiraj</creatorcontrib><creatorcontrib>Das, Ritesh</creatorcontrib><creatorcontrib>Benjamin, Colin</creatorcontrib><title>Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law</title><title>arXiv.org</title><description>Violation of the Wiedemann-Franz law in a 2D topological insulator due to Majorana bound states is studied via the Lorenz ratio in the single-particle picture. We study the scaling of the Lorenz ratio in the presence and absence of Majorana bound states with inelastic scattering modeled using a Buttiker voltage-temperature probe. We compare our results with that seen in a quantum dot junction in the Luttinger liquid picture operating in the topological Kondo regime. We explore the scaling of the Lorentz ratio in our setup when either phase and momentum relaxation or phase relaxation is present. This scaling differs from that predicted by the Luttinger liquid picture for both uncoupled and coupled Majorana cases.</description><subject>Fermions</subject><subject>Inelastic scattering</subject><subject>Lorenz number</subject><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Popular Physics</subject><subject>Physics - Quantum Physics</subject><subject>Physics - Strongly Correlated Electrons</subject><subject>Quantum dots</subject><subject>Scaling</subject><subject>Topological insulators</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj01PwzAMhiMkJKaxH8CJSJxTEqfpxxFNDJCGuEzasXJbFzJ1SUn3Afx6wsbBsuz39Ss_jN0omaSFMfIew5c9JKBlmUiTlnDBJqC1EkUKcMVm47iRUkKWgzF6wtavuPEBHfKOwtZ6x61r9w21fPBHCqLHIx8b7K17jwrffRA_WN_jLlpH7rvTZm2ppS06JxYx6ofHo2t22WE_0uy_T9lq8biaP4vl29PL_GEp0IASaZNnJFWdQ5mrOCBRjUCYQdHKrGwVqEJlqZYQFRXLAGDd1LXEXHdU6ym7PceeqKsh2C2G7-qPvjrRR8fd2TEE_7mncVdt_D64-FMFRZZK0FAq_Qt4_V2q</recordid><startdate>20241123</startdate><enddate>20241123</enddate><creator>Mishra, Sachiraj</creator><creator>Das, Ritesh</creator><creator>Benjamin, Colin</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20241123</creationdate><title>Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law</title><author>Mishra, Sachiraj ; Das, Ritesh ; Benjamin, Colin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a521-4c76e01b729714c7aeeba2ea628d069d1218164302aee1aee522abcbb0a73feb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Fermions</topic><topic>Inelastic scattering</topic><topic>Lorenz number</topic><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Popular Physics</topic><topic>Physics - Quantum Physics</topic><topic>Physics - Strongly Correlated Electrons</topic><topic>Quantum dots</topic><topic>Scaling</topic><topic>Topological insulators</topic><toplevel>online_resources</toplevel><creatorcontrib>Mishra, Sachiraj</creatorcontrib><creatorcontrib>Das, Ritesh</creatorcontrib><creatorcontrib>Benjamin, Colin</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mishra, Sachiraj</au><au>Das, Ritesh</au><au>Benjamin, Colin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law</atitle><jtitle>arXiv.org</jtitle><date>2024-11-23</date><risdate>2024</risdate><eissn>2331-8422</eissn><abstract>Violation of the Wiedemann-Franz law in a 2D topological insulator due to Majorana bound states is studied via the Lorenz ratio in the single-particle picture. We study the scaling of the Lorenz ratio in the presence and absence of Majorana bound states with inelastic scattering modeled using a Buttiker voltage-temperature probe. We compare our results with that seen in a quantum dot junction in the Luttinger liquid picture operating in the topological Kondo regime. We explore the scaling of the Lorentz ratio in our setup when either phase and momentum relaxation or phase relaxation is present. This scaling differs from that predicted by the Luttinger liquid picture for both uncoupled and coupled Majorana cases.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2309.05492</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2024-11 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2309_05492 |
| source | arXiv.org; Free E- Journals |
| subjects | Fermions Inelastic scattering Lorenz number Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Mesoscale and Nanoscale Physics Physics - Popular Physics Physics - Quantum Physics Physics - Strongly Correlated Electrons Quantum dots Scaling Topological insulators |
| title | Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T03%3A41%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Majorana%20fermion%20induced%20power-law%20scaling%20in%20the%20violations%20of%20the%20Wiedemann-Franz%20law&rft.jtitle=arXiv.org&rft.au=Mishra,%20Sachiraj&rft.date=2024-11-23&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2309.05492&rft_dat=%3Cproquest_arxiv%3E2864023291%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2864023291&rft_id=info:pmid/&rfr_iscdi=true |