Aharonov–Bohm‐Like Flux Effects on the Landauer Conductance in Graphene Wormholes
In this work, the graphene wormhole in two cases, i) free case and ii) in the presence of an Aharonov–Bohm (AB)‐like magnetic field are studied. To achieve the objective, the massless Dirac equation is solved in the background of a catenoid metric. As this system does not support exact solutions due...
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| Veröffentlicht in: | Annalen der Physik 2022-11, Vol.534 (11), p.n/a |
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| container_title | Annalen der Physik |
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| creator | Huamaní, Jonathan Acuña Vicente, Andrés G. Jirón Obispo, Angel E. Montero, Raul Carita Castro, Luis B. |
| description | In this work, the graphene wormhole in two cases, i) free case and ii) in the presence of an Aharonov–Bohm (AB)‐like magnetic field are studied. To achieve the objective, the massless Dirac equation is solved in the background of a catenoid metric. As this system does not support exact solutions due to the considered background, the scattering‐state solutions are obtained by means of the Born approximation. In both cases, the Landauer formalism is used to obtain approximate expressions for the conductance. For the free case, a minimum conductance, which is independent of system parameters is found. For the case with an AB‐like magnetic field, the results show that the conductance can be modulated by means of the parameter related to magnetic flux. In addition, a special case where a null magnetic flux generates an oscillatory conductance is analyzed.
The conductance of the graphene wormhole for free case and in the presence of an Aharonov–Bohm‐like magnetic field is investigated. For this purpose, the motion of massless fermions in the background of a catenoid metric is analyzed and discussed. The scattering states of the system are used to find approximate expressions for the conductance by means of the Landauer method. |
| doi_str_mv | 10.1002/andp.202200237 |
| format | Article |
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The conductance of the graphene wormhole for free case and in the presence of an Aharonov–Bohm‐like magnetic field is investigated. For this purpose, the motion of massless fermions in the background of a catenoid metric is analyzed and discussed. The scattering states of the system are used to find approximate expressions for the conductance by means of the Landauer method.</description><identifier>ISSN: 0003-3804</identifier><identifier>EISSN: 1521-3889</identifier><identifier>DOI: 10.1002/andp.202200237</identifier><language>eng</language><publisher>Weinheim: Wiley Subscription Services, Inc</publisher><subject>Born approximation ; Dirac equation ; Exact solutions ; Graphene ; graphene wormholes ; Landauer conductance ; Magnetic fields ; Magnetic flux ; Parameters ; Wormholes</subject><ispartof>Annalen der Physik, 2022-11, Vol.534 (11), p.n/a</ispartof><rights>2022 Wiley‐VCH GmbH</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3177-b80b4e11f186126f5d99cf125a923009c3e2200cfc4f284b2067a22d102bab543</citedby><cites>FETCH-LOGICAL-c3177-b80b4e11f186126f5d99cf125a923009c3e2200cfc4f284b2067a22d102bab543</cites><orcidid>0000-0001-5392-9495</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fandp.202200237$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fandp.202200237$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Huamaní, Jonathan Acuña</creatorcontrib><creatorcontrib>Vicente, Andrés G. Jirón</creatorcontrib><creatorcontrib>Obispo, Angel E.</creatorcontrib><creatorcontrib>Montero, Raul Carita</creatorcontrib><creatorcontrib>Castro, Luis B.</creatorcontrib><title>Aharonov–Bohm‐Like Flux Effects on the Landauer Conductance in Graphene Wormholes</title><title>Annalen der Physik</title><description>In this work, the graphene wormhole in two cases, i) free case and ii) in the presence of an Aharonov–Bohm (AB)‐like magnetic field are studied. To achieve the objective, the massless Dirac equation is solved in the background of a catenoid metric. As this system does not support exact solutions due to the considered background, the scattering‐state solutions are obtained by means of the Born approximation. In both cases, the Landauer formalism is used to obtain approximate expressions for the conductance. For the free case, a minimum conductance, which is independent of system parameters is found. For the case with an AB‐like magnetic field, the results show that the conductance can be modulated by means of the parameter related to magnetic flux. In addition, a special case where a null magnetic flux generates an oscillatory conductance is analyzed.
The conductance of the graphene wormhole for free case and in the presence of an Aharonov–Bohm‐like magnetic field is investigated. For this purpose, the motion of massless fermions in the background of a catenoid metric is analyzed and discussed. The scattering states of the system are used to find approximate expressions for the conductance by means of the Landauer method.</description><subject>Born approximation</subject><subject>Dirac equation</subject><subject>Exact solutions</subject><subject>Graphene</subject><subject>graphene wormholes</subject><subject>Landauer conductance</subject><subject>Magnetic fields</subject><subject>Magnetic flux</subject><subject>Parameters</subject><subject>Wormholes</subject><issn>0003-3804</issn><issn>1521-3889</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNqFkL1OwzAUhS0EEhV0ZbbEnOK_NMlYSluQImCgYrQcx1ZSUjvYCdCtj4DEG_ZJcFUEI9O9R_rOPboHgAuMRhghciVM2Y4IIiQImhyBAY4JjmiaZsdggBCiYUfsFAy9XwWJYhRgNgDLSSWcNfZtt_26ttV6t_3M6xcF503_AWdaK9l5aA3sKgXzECJ65eDUmrKXnTBSwdrAhRNtpYyCz9atK9sofw5OtGi8Gv7MM7Ccz56mt1H-sLibTvJIUpwkUZGigimMNU7HmIx1XGaZ1JjEIiMUoUxStX9Iask0SVlB0DgRhJQYkUIUMaNn4PJwt3X2tVe-4yvbOxMiOUloQlPGCA7U6EBJZ713SvPW1WvhNhwjvm-P79vjv-0FQ3YwvNeN2vxD88n9zeOf9xsZ3nPF</recordid><startdate>202211</startdate><enddate>202211</enddate><creator>Huamaní, Jonathan Acuña</creator><creator>Vicente, Andrés G. Jirón</creator><creator>Obispo, Angel E.</creator><creator>Montero, Raul Carita</creator><creator>Castro, Luis B.</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-5392-9495</orcidid></search><sort><creationdate>202211</creationdate><title>Aharonov–Bohm‐Like Flux Effects on the Landauer Conductance in Graphene Wormholes</title><author>Huamaní, Jonathan Acuña ; Vicente, Andrés G. Jirón ; Obispo, Angel E. ; Montero, Raul Carita ; Castro, Luis B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3177-b80b4e11f186126f5d99cf125a923009c3e2200cfc4f284b2067a22d102bab543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Born approximation</topic><topic>Dirac equation</topic><topic>Exact solutions</topic><topic>Graphene</topic><topic>graphene wormholes</topic><topic>Landauer conductance</topic><topic>Magnetic fields</topic><topic>Magnetic flux</topic><topic>Parameters</topic><topic>Wormholes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Huamaní, Jonathan Acuña</creatorcontrib><creatorcontrib>Vicente, Andrés G. Jirón</creatorcontrib><creatorcontrib>Obispo, Angel E.</creatorcontrib><creatorcontrib>Montero, Raul Carita</creatorcontrib><creatorcontrib>Castro, Luis B.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Annalen der Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Huamaní, Jonathan Acuña</au><au>Vicente, Andrés G. Jirón</au><au>Obispo, Angel E.</au><au>Montero, Raul Carita</au><au>Castro, Luis B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Aharonov–Bohm‐Like Flux Effects on the Landauer Conductance in Graphene Wormholes</atitle><jtitle>Annalen der Physik</jtitle><date>2022-11</date><risdate>2022</risdate><volume>534</volume><issue>11</issue><epage>n/a</epage><issn>0003-3804</issn><eissn>1521-3889</eissn><abstract>In this work, the graphene wormhole in two cases, i) free case and ii) in the presence of an Aharonov–Bohm (AB)‐like magnetic field are studied. To achieve the objective, the massless Dirac equation is solved in the background of a catenoid metric. As this system does not support exact solutions due to the considered background, the scattering‐state solutions are obtained by means of the Born approximation. In both cases, the Landauer formalism is used to obtain approximate expressions for the conductance. For the free case, a minimum conductance, which is independent of system parameters is found. For the case with an AB‐like magnetic field, the results show that the conductance can be modulated by means of the parameter related to magnetic flux. In addition, a special case where a null magnetic flux generates an oscillatory conductance is analyzed.
The conductance of the graphene wormhole for free case and in the presence of an Aharonov–Bohm‐like magnetic field is investigated. For this purpose, the motion of massless fermions in the background of a catenoid metric is analyzed and discussed. The scattering states of the system are used to find approximate expressions for the conductance by means of the Landauer method.</abstract><cop>Weinheim</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/andp.202200237</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0001-5392-9495</orcidid></addata></record> |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Born approximation Dirac equation Exact solutions Graphene graphene wormholes Landauer conductance Magnetic fields Magnetic flux Parameters Wormholes |
| title | Aharonov–Bohm‐Like Flux Effects on the Landauer Conductance in Graphene Wormholes |
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