Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals
We study the quantum phase transition between a paramagnetic and ferromagnetic metal in the presence of Rashba spin-orbit coupling in one dimension. Using bosonization, we analyze the transition by means of renormalization group, controlled by an ɛ expansion around the upper critical dimension of tw...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/114526 https://orcid.org/0000-0002-0695-6500 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1826205032757854208 |
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| author | Radzihovsky, Leo Kozii, Vladyslav Ruhman, Yehonatan Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Radzihovsky, Leo Kozii, Vladyslav Ruhman, Yehonatan Fu, Liang |
| author_sort | Radzihovsky, Leo |
| collection | MIT |
| description | We study the quantum phase transition between a paramagnetic and ferromagnetic metal in the presence of Rashba spin-orbit coupling in one dimension. Using bosonization, we analyze the transition by means of renormalization group, controlled by an ɛ expansion around the upper critical dimension of two. We show that the presence of Rashba spin-orbit coupling allows for a new nonlinear term in the bosonized action, which generically leads to a fluctuation driven first-order transition. We further demonstrate that the Euclidean action of this system maps onto a classical smectic-A–C phase transition in a magnetic field in two dimensions. We show that the smectic transition is second order and is controlled by a new critical point. |
| first_indexed | 2024-09-23T13:05:41Z |
| format | Article |
| id | mit-1721.1/114526 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:05:41Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1145262022-09-28T11:59:41Z Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals Radzihovsky, Leo Kozii, Vladyslav Ruhman, Yehonatan Fu, Liang Massachusetts Institute of Technology. Department of Physics Kozii, Vladyslav Ruhman, Yehonatan Fu, Liang We study the quantum phase transition between a paramagnetic and ferromagnetic metal in the presence of Rashba spin-orbit coupling in one dimension. Using bosonization, we analyze the transition by means of renormalization group, controlled by an ɛ expansion around the upper critical dimension of two. We show that the presence of Rashba spin-orbit coupling allows for a new nonlinear term in the bosonized action, which generically leads to a fluctuation driven first-order transition. We further demonstrate that the Euclidean action of this system maps onto a classical smectic-A–C phase transition in a magnetic field in two dimensions. We show that the smectic transition is second order and is controlled by a new critical point. United States. Department of Energy. Office of Basic Energy Sciences (Award DE-SC0010526) 2018-04-03T19:16:50Z 2018-04-03T19:16:50Z 2017-09 2017-08 2017-11-14T22:45:44Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/114526 Kozii, Vladyslav et al. "Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals." Physical Review B 96, 9 (September 2017): 094419 © 2017 American Physical Society https://orcid.org/0000-0002-0695-6500 https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevB.96.094419 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Radzihovsky, Leo Kozii, Vladyslav Ruhman, Yehonatan Fu, Liang Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals |
| title | Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals |
| title_full | Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals |
| title_fullStr | Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals |
| title_full_unstemmed | Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals |
| title_short | Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals |
| title_sort | ferromagnetic transition in a one dimensional spin orbit coupled metal and its mapping to a critical point in smectic liquid crystals |
| url | http://hdl.handle.net/1721.1/114526 https://orcid.org/0000-0002-0695-6500 https://orcid.org/0000-0002-8803-1017 |
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