Optical conductivity of the Hubbard chain away from half filling
We consider the optical conductivity [sigma] sub(1)([omega]) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group...
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| Veröffentlicht in: | Physical review. B 2016-03, Vol.93 (12), Article 125108 |
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| creator | Tiegel, Alexander C. Veness, Thomas Dargel, Piet E. Honecker, Andreas Pruschke, Thomas McCulloch, Ian P. Essler, Fabian H. L. |
| description | We consider the optical conductivity [sigma] sub(1)([omega]) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, [sigma] sub(1)([omega]) is computed for a range of interaction strengths and dopings. We identify an energy scale E sub(opt) above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of [sigma] sub(1)([omega]) for frequencies just above E sub(opt) which is in agreement with our numerical data. As a main result, we find that this onset behavior is not described by a power law. |
| doi_str_mv | 10.1103/PhysRevB.93.125108 |
| format | Article |
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As a main result, we find that this onset behavior is not described by a power law.</description><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.93.125108</identifier><language>eng</language><publisher>American Physical Society</publisher><subject>Chains ; Computation ; Condensed Matter ; Doping ; Impurities ; Mathematical models ; Physics ; Power law ; Strength</subject><ispartof>Physical review. 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L.</creatorcontrib><title>Optical conductivity of the Hubbard chain away from half filling</title><title>Physical review. B</title><description>We consider the optical conductivity [sigma] sub(1)([omega]) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, [sigma] sub(1)([omega]) is computed for a range of interaction strengths and dopings. We identify an energy scale E sub(opt) above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of [sigma] sub(1)([omega]) for frequencies just above E sub(opt) which is in agreement with our numerical data. As a main result, we find that this onset behavior is not described by a power law.</description><subject>Chains</subject><subject>Computation</subject><subject>Condensed Matter</subject><subject>Doping</subject><subject>Impurities</subject><subject>Mathematical models</subject><subject>Physics</subject><subject>Power law</subject><subject>Strength</subject><issn>2469-9950</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kNFKwzAUhoMoOOZewKtc6kXnSdKlyZ1zqBMGE9HrkKaJjWTtbNpJ396O6q7Oz-HjP5wPoWsCc0KA3b2WfXyzh4e5ZHNCFwTEGZrQlMtESi7PT3kBl2gW4xcAEA4yAzlB99t9640O2NRV0ZnWH3zb49rhtrR43eW5bgpsSu0rrH90j11T73Cpg8POh-Crzyt04XSIdvY3p-jj6fF9tU422-eX1XKTGCagTYg2lDJCSZ5LmgJfQEqFcNw5RnMJ4LSUkAvGUkuZFkZmtNCuMClkPCOOsCm6HXuH42rf-J1uelVrr9bLjTrugFEYbLDDkb0Z2X1Tf3c2tmrno7Eh6MrWXVREDP8DH1QNKB1R09QxNtadugmoo131b1dJpka77BcKlGyL</recordid><startdate>20160303</startdate><enddate>20160303</enddate><creator>Tiegel, Alexander C.</creator><creator>Veness, Thomas</creator><creator>Dargel, Piet E.</creator><creator>Honecker, Andreas</creator><creator>Pruschke, Thomas</creator><creator>McCulloch, Ian P.</creator><creator>Essler, Fabian H. 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L.</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><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tiegel, Alexander C.</au><au>Veness, Thomas</au><au>Dargel, Piet E.</au><au>Honecker, Andreas</au><au>Pruschke, Thomas</au><au>McCulloch, Ian P.</au><au>Essler, Fabian H. L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optical conductivity of the Hubbard chain away from half filling</atitle><jtitle>Physical review. B</jtitle><date>2016-03-03</date><risdate>2016</risdate><volume>93</volume><issue>12</issue><artnum>125108</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><abstract>We consider the optical conductivity [sigma] sub(1)([omega]) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, [sigma] sub(1)([omega]) is computed for a range of interaction strengths and dopings. We identify an energy scale E sub(opt) above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of [sigma] sub(1)([omega]) for frequencies just above E sub(opt) which is in agreement with our numerical data. 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| subjects | Chains Computation Condensed Matter Doping Impurities Mathematical models Physics Power law Strength |
| title | Optical conductivity of the Hubbard chain away from half filling |
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