Two-impurity Kondo model with spin-orbit interactions
We study the two-impurity Kondo model (TIKM) in two dimensions with spin-orbit coupled conduction electrons. In the first part of the paper we analyze how spin-orbit interactions of Rashba as well as Dresselhaus type influence the Kondo and Ruderman-Kittel-Kasuya-Yoshida (RKKY) interactions in the T...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/52615 |
| _version_ | 1826201669803704320 |
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| author | Mross, David Fabian Johannesson, Henrik |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Mross, David Fabian Johannesson, Henrik |
| author_sort | Mross, David Fabian |
| collection | MIT |
| description | We study the two-impurity Kondo model (TIKM) in two dimensions with spin-orbit coupled conduction electrons. In the first part of the paper we analyze how spin-orbit interactions of Rashba as well as Dresselhaus type influence the Kondo and Ruderman-Kittel-Kasuya-Yoshida (RKKY) interactions in the TIKM, generalizing results obtained by H. Imamura et al. [Phys. Rev. B 69, 121303(R) (2004)] and J. Malecki [J. Stat. Phys. 129, 741 (2007)]. Using our findings we then explore the effect from spin-orbit interactions on the non-Fermi-liquid quantum critical transition between the RKKY-singlet and Kondo-screened RKKY-triplet states. We argue that spin-orbit interactions under certain conditions produce a line of critical points exhibiting the same leading scaling behavior as that of the ordinary TIKM. In the second part of the paper we shift focus and turn to the question of how spin-orbit interactions affect the entanglement between two localized RKKY-coupled spins in the parameter regime where the competition from the direct Kondo interaction can be neglected. Using data for a device with two spinful quantum dots patterned in a gated InAs heterostructure we show that a gate-controlled spin-orbit interaction may drive a maximally entangled state to one with vanishing entanglement or vice versa (as measured by the concurrence). This has important implications for proposals using RKKY interactions for nonlocal control of qubit entanglement in semiconductor heterostructures. |
| first_indexed | 2024-09-23T11:54:54Z |
| format | Article |
| id | mit-1721.1/52615 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:54:54Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/526152022-09-27T22:48:19Z Two-impurity Kondo model with spin-orbit interactions Mross, David Fabian Johannesson, Henrik Massachusetts Institute of Technology. Department of Physics Mross, David Fabian Mross, David Fabian We study the two-impurity Kondo model (TIKM) in two dimensions with spin-orbit coupled conduction electrons. In the first part of the paper we analyze how spin-orbit interactions of Rashba as well as Dresselhaus type influence the Kondo and Ruderman-Kittel-Kasuya-Yoshida (RKKY) interactions in the TIKM, generalizing results obtained by H. Imamura et al. [Phys. Rev. B 69, 121303(R) (2004)] and J. Malecki [J. Stat. Phys. 129, 741 (2007)]. Using our findings we then explore the effect from spin-orbit interactions on the non-Fermi-liquid quantum critical transition between the RKKY-singlet and Kondo-screened RKKY-triplet states. We argue that spin-orbit interactions under certain conditions produce a line of critical points exhibiting the same leading scaling behavior as that of the ordinary TIKM. In the second part of the paper we shift focus and turn to the question of how spin-orbit interactions affect the entanglement between two localized RKKY-coupled spins in the parameter regime where the competition from the direct Kondo interaction can be neglected. Using data for a device with two spinful quantum dots patterned in a gated InAs heterostructure we show that a gate-controlled spin-orbit interaction may drive a maximally entangled state to one with vanishing entanglement or vice versa (as measured by the concurrence). This has important implications for proposals using RKKY interactions for nonlocal control of qubit entanglement in semiconductor heterostructures. Swedish Research Council (Grant No. VR-2005-3942) 2010-03-16T15:06:36Z 2010-03-16T15:06:36Z 2009-10 2009-08 Article http://purl.org/eprint/type/JournalArticle http://hdl.handle.net/1721.1/52615 Mross, David F., and Henrik Johannesson. “Two-impurity Kondo model with spin-orbit interactions.” Physical Review B 80.15 (2009): 155302. © 2009 The American Physical Socie en_US http://dx.doi.org/10.1103/PhysRevB.80.155302 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Mross, David Fabian Johannesson, Henrik Two-impurity Kondo model with spin-orbit interactions |
| title | Two-impurity Kondo model with spin-orbit interactions |
| title_full | Two-impurity Kondo model with spin-orbit interactions |
| title_fullStr | Two-impurity Kondo model with spin-orbit interactions |
| title_full_unstemmed | Two-impurity Kondo model with spin-orbit interactions |
| title_short | Two-impurity Kondo model with spin-orbit interactions |
| title_sort | two impurity kondo model with spin orbit interactions |
| url | http://hdl.handle.net/1721.1/52615 |
| work_keys_str_mv | AT mrossdavidfabian twoimpuritykondomodelwithspinorbitinteractions AT johannessonhenrik twoimpuritykondomodelwithspinorbitinteractions |