Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model
We investigate the one-dimensional p -wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the modulation period is odd, there can be at most one MZM. Howe...
Gespeichert in:
Veröffentlicht in: | Scientific reports 2015-11, Vol.5 (1), p.17049-17049, Article 17049 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 17049 |
---|---|
container_issue | 1 |
container_start_page | 17049 |
container_title | Scientific reports |
container_volume | 5 |
creator | Gao, Yi Zhou, Tao Huang, Huaixiang Huang, Ran |
description | We investigate the one-dimensional
p
-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the modulation period is odd, there can be at most one MZM. However if the period is even, the number of the MZMs can be zero, one and two. In addition, the MZMs will disappear as the chemical potential varies. We derive the condition for the existence of the MZMs and show that the topological properties in this model are dramatically different from the one with periodically modulated potential. |
doi_str_mv | 10.1038/srep17049 |
format | Article |
fullrecord | <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4653629</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1735910019</sourcerecordid><originalsourceid>FETCH-LOGICAL-c438t-8bba9a48eb028f0dc176344e6e41345c43e4356a24038c697b2ddeae357e93743</originalsourceid><addsrcrecordid>eNplkUtLxDAUhYMoKurCPyAFNypU82yTjSCDL1Dc6MJVSNs7Mx3apCator_ejKPDqNnckPvl5NwchPYJPiWYybPgoSM55moNbVPMRUoZpesr-y20F8IMxyWo4kRtoi2aCZlRLLbR872ZOW-sST7Au6R1FYSktkk_hWTquq62kzQeDo3poUqchbSqW7ChdtY0SZe-mVdIwtCBL52thrKPF75Uml20MTZNgL3vuoOeri4fRzfp3cP17ejiLi05k30qi8IowyUUmMoxrkqSZ4xzyIATxkWEgDORGcrjsGWm8oJWFRhgIgfFcs520PlCtxuKFqoSbO9Noztft8a_a2dq_btj66meuFfNM8EyqqLA0beAdy8DhF63dSihaYwFNwRNciYUwZjM0cM_6MwNPv5EpKRSEnMp5o6OF1TpXYjxjJdmCNbzzPQys8gerLpfkj8JReBkAYTYshPwK0_-U_sEQ-GhSQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1899804854</pqid></control><display><type>article</type><title>Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model</title><source>PubMed (Medline)</source><source>SpringerOpen</source><source>Nature Free</source><source>DOAJ Directory of Open Access Journals</source><source>Alma/SFX Local Collection</source><source>Free Full-Text Journals in Chemistry</source><source>EZB Electronic Journals Library</source><creator>Gao, Yi ; Zhou, Tao ; Huang, Huaixiang ; Huang, Ran</creator><creatorcontrib>Gao, Yi ; Zhou, Tao ; Huang, Huaixiang ; Huang, Ran</creatorcontrib><description>We investigate the one-dimensional
p
-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the modulation period is odd, there can be at most one MZM. However if the period is even, the number of the MZMs can be zero, one and two. In addition, the MZMs will disappear as the chemical potential varies. We derive the condition for the existence of the MZMs and show that the topological properties in this model are dramatically different from the one with periodically modulated potential.</description><identifier>ISSN: 2045-2322</identifier><identifier>EISSN: 2045-2322</identifier><identifier>DOI: 10.1038/srep17049</identifier><identifier>PMID: 26586205</identifier><language>eng</language><publisher>London: Nature Publishing Group UK</publisher><subject>639/766/119/1003 ; 639/766/483/2802 ; Chemical potential ; Humanities and Social Sciences ; multidisciplinary ; Physics ; Science ; Symmetry</subject><ispartof>Scientific reports, 2015-11, Vol.5 (1), p.17049-17049, Article 17049</ispartof><rights>The Author(s) 2015</rights><rights>Copyright Nature Publishing Group Nov 2015</rights><rights>Copyright © 2015, Macmillan Publishers Limited 2015 Macmillan Publishers Limited</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c438t-8bba9a48eb028f0dc176344e6e41345c43e4356a24038c697b2ddeae357e93743</citedby><cites>FETCH-LOGICAL-c438t-8bba9a48eb028f0dc176344e6e41345c43e4356a24038c697b2ddeae357e93743</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4653629/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4653629/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,724,777,781,861,882,27905,27906,41101,42170,51557,53772,53774</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/26586205$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Gao, Yi</creatorcontrib><creatorcontrib>Zhou, Tao</creatorcontrib><creatorcontrib>Huang, Huaixiang</creatorcontrib><creatorcontrib>Huang, Ran</creatorcontrib><title>Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model</title><title>Scientific reports</title><addtitle>Sci Rep</addtitle><addtitle>Sci Rep</addtitle><description>We investigate the one-dimensional
p
-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the modulation period is odd, there can be at most one MZM. However if the period is even, the number of the MZMs can be zero, one and two. In addition, the MZMs will disappear as the chemical potential varies. We derive the condition for the existence of the MZMs and show that the topological properties in this model are dramatically different from the one with periodically modulated potential.</description><subject>639/766/119/1003</subject><subject>639/766/483/2802</subject><subject>Chemical potential</subject><subject>Humanities and Social Sciences</subject><subject>multidisciplinary</subject><subject>Physics</subject><subject>Science</subject><subject>Symmetry</subject><issn>2045-2322</issn><issn>2045-2322</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNplkUtLxDAUhYMoKurCPyAFNypU82yTjSCDL1Dc6MJVSNs7Mx3apCator_ejKPDqNnckPvl5NwchPYJPiWYybPgoSM55moNbVPMRUoZpesr-y20F8IMxyWo4kRtoi2aCZlRLLbR872ZOW-sST7Au6R1FYSktkk_hWTquq62kzQeDo3poUqchbSqW7ChdtY0SZe-mVdIwtCBL52thrKPF75Uml20MTZNgL3vuoOeri4fRzfp3cP17ejiLi05k30qi8IowyUUmMoxrkqSZ4xzyIATxkWEgDORGcrjsGWm8oJWFRhgIgfFcs520PlCtxuKFqoSbO9Noztft8a_a2dq_btj66meuFfNM8EyqqLA0beAdy8DhF63dSihaYwFNwRNciYUwZjM0cM_6MwNPv5EpKRSEnMp5o6OF1TpXYjxjJdmCNbzzPQys8gerLpfkj8JReBkAYTYshPwK0_-U_sEQ-GhSQ</recordid><startdate>20151120</startdate><enddate>20151120</enddate><creator>Gao, Yi</creator><creator>Zhou, Tao</creator><creator>Huang, Huaixiang</creator><creator>Huang, Ran</creator><general>Nature Publishing Group UK</general><general>Nature Publishing Group</general><scope>C6C</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>88I</scope><scope>8FE</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M2P</scope><scope>M7P</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20151120</creationdate><title>Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model</title><author>Gao, Yi ; Zhou, Tao ; Huang, Huaixiang ; Huang, Ran</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c438t-8bba9a48eb028f0dc176344e6e41345c43e4356a24038c697b2ddeae357e93743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>639/766/119/1003</topic><topic>639/766/483/2802</topic><topic>Chemical potential</topic><topic>Humanities and Social Sciences</topic><topic>multidisciplinary</topic><topic>Physics</topic><topic>Science</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gao, Yi</creatorcontrib><creatorcontrib>Zhou, Tao</creatorcontrib><creatorcontrib>Huang, Huaixiang</creatorcontrib><creatorcontrib>Huang, Ran</creatorcontrib><collection>SpringerOpen</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest Health and Medical</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>Biological Sciences</collection><collection>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>ProQuest Science Journals</collection><collection>ProQuest Biological Science Journals</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 Basic</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Scientific reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gao, Yi</au><au>Zhou, Tao</au><au>Huang, Huaixiang</au><au>Huang, Ran</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model</atitle><jtitle>Scientific reports</jtitle><stitle>Sci Rep</stitle><addtitle>Sci Rep</addtitle><date>2015-11-20</date><risdate>2015</risdate><volume>5</volume><issue>1</issue><spage>17049</spage><epage>17049</epage><pages>17049-17049</pages><artnum>17049</artnum><issn>2045-2322</issn><eissn>2045-2322</eissn><abstract>We investigate the one-dimensional
p
-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the modulation period is odd, there can be at most one MZM. However if the period is even, the number of the MZMs can be zero, one and two. In addition, the MZMs will disappear as the chemical potential varies. We derive the condition for the existence of the MZMs and show that the topological properties in this model are dramatically different from the one with periodically modulated potential.</abstract><cop>London</cop><pub>Nature Publishing Group UK</pub><pmid>26586205</pmid><doi>10.1038/srep17049</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 2045-2322 |
ispartof | Scientific reports, 2015-11, Vol.5 (1), p.17049-17049, Article 17049 |
issn | 2045-2322 2045-2322 |
language | eng |
recordid | cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4653629 |
source | PubMed (Medline); SpringerOpen; Nature Free; DOAJ Directory of Open Access Journals; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry; EZB Electronic Journals Library |
subjects | 639/766/119/1003 639/766/483/2802 Chemical potential Humanities and Social Sciences multidisciplinary Physics Science Symmetry |
title | Majorana zero modes in the hopping-modulated one-dimensional p-wave superconducting model |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T16%3A09%3A42IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Majorana%20zero%20modes%20in%20the%20hopping-modulated%20one-dimensional%20p-wave%20superconducting%20model&rft.jtitle=Scientific%20reports&rft.au=Gao,%20Yi&rft.date=2015-11-20&rft.volume=5&rft.issue=1&rft.spage=17049&rft.epage=17049&rft.pages=17049-17049&rft.artnum=17049&rft.issn=2045-2322&rft.eissn=2045-2322&rft_id=info:doi/10.1038/srep17049&rft_dat=%3Cproquest_pubme%3E1735910019%3C/proquest_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1899804854&rft_id=info:pmid/26586205&rfr_iscdi=true |