Chirality and current-current correlation in fractional quantum Hall systems
We study current-current correlation in an electronic analog of a beam splitter realized with edge channels of a fractional quantum Hall liquid at Laughlin filling fractions. In analogy with the known result for chiral electrons [M. Buttiker, Phys. Rev. B 46, 12485 (1992)], if the currents are measu...
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| Veröffentlicht in: | Physical review. B 2016-02, Vol.93 (7), Article 075441 |
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| creator | Campagnano, G. Lucignano, P. Giuliano, D. |
| description | We study current-current correlation in an electronic analog of a beam splitter realized with edge channels of a fractional quantum Hall liquid at Laughlin filling fractions. In analogy with the known result for chiral electrons [M. Buttiker, Phys. Rev. B 46, 12485 (1992)], if the currents are measured at points located after the beam splitter, we find that the zero frequency equilibrium correlation vanishes due to the chiral propagation along the edge channels. Furthermore, we show that the current-current correlation, normalized to the tunneling current, exhibits clear signatures of the Laughlin quasiparticles' fractional statistics. |
| doi_str_mv | 10.1103/PhysRevB.93.075441 |
| format | Article |
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Furthermore, we show that the current-current correlation, normalized to the tunneling current, exhibits clear signatures of the Laughlin quasiparticles' fractional statistics.</description><subject>Beam splitters</subject><subject>Channels</subject><subject>Condensed matter</subject><subject>Correlation</subject><subject>Correlation analysis</subject><subject>Electronics</subject><subject>Liquids</subject><subject>Statistics</subject><issn>2469-9950</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kFFLwzAUhYMoOOb-gE959KXzJmma3kcd6oSBIvocYpqwStpuSSv039uxzafvXDgcuB8htwyWjIG4f9-O6cP9Pi5RLEHJPGcXZMbzAjPEAi__s4RrskjpBwBYAagAZ2Sz2tbRhLofqWkraocYXdtnJ1LbTQymr7uW1i310dhDNoHuB9P2Q0PXJgSaxtS7Jt2QK29CcosT5-Tr-elztc42by-vq4dNZnkJfSYqyaTgleeoXIUsL0TJpTdOFkIKC17yEn1lkFusVOUQCq9s8T2dyqnp4zm5O-7uYrcfXOp1UyfrQjCt64akWQklqByntTnhx6qNXUrReb2LdWPiqBnogz19tqdR6KM98QdW1GU9</recordid><startdate>20160229</startdate><enddate>20160229</enddate><creator>Campagnano, G.</creator><creator>Lucignano, P.</creator><creator>Giuliano, D.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20160229</creationdate><title>Chirality and current-current correlation in fractional quantum Hall systems</title><author>Campagnano, G. ; Lucignano, P. ; Giuliano, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c280t-3d51532df297ed91463825fae56353c0f5289fda92c9d7de906f7c6b2c97e7103</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Beam splitters</topic><topic>Channels</topic><topic>Condensed matter</topic><topic>Correlation</topic><topic>Correlation analysis</topic><topic>Electronics</topic><topic>Liquids</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Campagnano, G.</creatorcontrib><creatorcontrib>Lucignano, P.</creatorcontrib><creatorcontrib>Giuliano, D.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Campagnano, G.</au><au>Lucignano, P.</au><au>Giuliano, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Chirality and current-current correlation in fractional quantum Hall systems</atitle><jtitle>Physical review. B</jtitle><date>2016-02-29</date><risdate>2016</risdate><volume>93</volume><issue>7</issue><artnum>075441</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><abstract>We study current-current correlation in an electronic analog of a beam splitter realized with edge channels of a fractional quantum Hall liquid at Laughlin filling fractions. In analogy with the known result for chiral electrons [M. Buttiker, Phys. Rev. B 46, 12485 (1992)], if the currents are measured at points located after the beam splitter, we find that the zero frequency equilibrium correlation vanishes due to the chiral propagation along the edge channels. Furthermore, we show that the current-current correlation, normalized to the tunneling current, exhibits clear signatures of the Laughlin quasiparticles' fractional statistics.</abstract><doi>10.1103/PhysRevB.93.075441</doi></addata></record> |
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| source | American Physical Society Journals |
| subjects | Beam splitters Channels Condensed matter Correlation Correlation analysis Electronics Liquids Statistics |
| title | Chirality and current-current correlation in fractional quantum Hall systems |
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