Riccati equation for simulation of leads in quantum transport
We present a theoretical procedure with numerical demonstration of a workable and efficient method to evaluate the surface Green's function of semi-infinite leads connected to a device. Such a problem always occurs in quantum transport calculations but also in the study of surfaces and heteroju...
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| Veröffentlicht in: | Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-10, Vol.90 (15), Article 155445 |
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| container_title | Physical review. B, Condensed matter and materials physics |
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| creator | Bravi, M. Farchioni, R. Grosso, G. Pastori Parravicini, G. |
| description | We present a theoretical procedure with numerical demonstration of a workable and efficient method to evaluate the surface Green's function of semi-infinite leads connected to a device. Such a problem always occurs in quantum transport calculations but also in the study of surfaces and heterojunctions. We show here that these semi-infinite leads can be properly described by real-energy Green's functions obtained analytically by a smart solution of the Riccati matrix equation. The performance of our method is demonstrated in the case of a multichain two-dimensional electron-gas system, composed of a central ribbon connected to two semi-infinite leads, pierced by two opposite magnetic fields. |
| doi_str_mv | 10.1103/PhysRevB.90.155445 |
| format | Article |
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B, Condensed matter and materials physics</title><description>We present a theoretical procedure with numerical demonstration of a workable and efficient method to evaluate the surface Green's function of semi-infinite leads connected to a device. Such a problem always occurs in quantum transport calculations but also in the study of surfaces and heterojunctions. We show here that these semi-infinite leads can be properly described by real-energy Green's functions obtained analytically by a smart solution of the Riccati matrix equation. 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| fulltext | fulltext |
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| ispartof | Physical review. B, Condensed matter and materials physics, 2014-10, Vol.90 (15), Article 155445 |
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| language | eng |
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| source | APS: American Physical Society E-Journals (Physics) |
| subjects | Condensed matter Green's functions Heterojunctions Magnetic fields Mathematical analysis Mathematical models Ribbons Riccati matrix equation Transport |
| title | Riccati equation for simulation of leads in quantum transport |
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