Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions
We calculate numerically the entanglement entropy of free fermion ground states in one-, two-, and three-dimensional Anderson models and find that it obeys the area law as long as the linear size of the subsystem is sufficiently larger than the mean free path. This result holds in the metallic phase...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/397630 |
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| _version_ | 1832549095373275136 |
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| author | Mohammad Pouranvari Yuhui Zhang Kun Yang |
| author_facet | Mohammad Pouranvari Yuhui Zhang Kun Yang |
| author_sort | Mohammad Pouranvari |
| collection | DOAJ |
| description | We calculate numerically the entanglement entropy of free fermion ground states in one-, two-, and three-dimensional Anderson models and find that it obeys the area law as long as the linear size of the subsystem is sufficiently larger than the mean free path. This result holds in the metallic phase of the three-dimensional Anderson model, where the mean free path is finite although the localization length is infinite. Relation between the present results and earlier ones on area law violation in special one-dimensional models that support metallic phases is discussed. |
| format | Article |
| id | doaj-art-68399110998441acbc39003b8609d9fb |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-68399110998441acbc39003b8609d9fb2025-02-03T06:12:08ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242015-01-01201510.1155/2015/397630397630Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three DimensionsMohammad Pouranvari0Yuhui Zhang1Kun Yang2National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, FL 32306, USANational High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, FL 32306, USANational High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, FL 32306, USAWe calculate numerically the entanglement entropy of free fermion ground states in one-, two-, and three-dimensional Anderson models and find that it obeys the area law as long as the linear size of the subsystem is sufficiently larger than the mean free path. This result holds in the metallic phase of the three-dimensional Anderson model, where the mean free path is finite although the localization length is infinite. Relation between the present results and earlier ones on area law violation in special one-dimensional models that support metallic phases is discussed.http://dx.doi.org/10.1155/2015/397630 |
| spellingShingle | Mohammad Pouranvari Yuhui Zhang Kun Yang Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions Advances in Condensed Matter Physics |
| title | Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions |
| title_full | Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions |
| title_fullStr | Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions |
| title_full_unstemmed | Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions |
| title_short | Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions |
| title_sort | entanglement area law in disordered free fermion anderson model in one two and three dimensions |
| url | http://dx.doi.org/10.1155/2015/397630 |
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