Generalized electromagnetism of subdimensional particles: A spin liquid story
It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher-rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism. The tensor gauge field of these theories couples naturally to subdimensional particles (such as...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110699 https://orcid.org/0000-0001-5013-0186 |
| _version_ | 1826190943420678144 |
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| author | Pretko, Michael |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Pretko, Michael |
| author_sort | Pretko, Michael |
| collection | MIT |
| description | It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher-rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism. The tensor gauge field of these theories couples naturally to subdimensional particles (such as fractons), which are restricted by gauge invariance to move only along lower-dimensional subspaces of the system. Here we work out some of the basic generalized electromagnetic properties of subdimensional particles coupled to tensor electromagnetism, such as generalized electrostatic fields, potential formulations, Lorentz forces, Maxwell equations, and Biot-Savart laws. Some concepts from conventional electromagnetism will carry over directly, while others require significant modification. |
| first_indexed | 2024-09-23T08:47:59Z |
| format | Article |
| id | mit-1721.1/110699 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:47:59Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1106992022-09-23T14:38:18Z Generalized electromagnetism of subdimensional particles: A spin liquid story Pretko, Michael Massachusetts Institute of Technology. Department of Physics Pretko, Michael It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher-rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism. The tensor gauge field of these theories couples naturally to subdimensional particles (such as fractons), which are restricted by gauge invariance to move only along lower-dimensional subspaces of the system. Here we work out some of the basic generalized electromagnetic properties of subdimensional particles coupled to tensor electromagnetism, such as generalized electrostatic fields, potential formulations, Lorentz forces, Maxwell equations, and Biot-Savart laws. Some concepts from conventional electromagnetism will carry over directly, while others require significant modification. National Science Foundation (U.S.) (Grant DMR-1305741) 2017-07-14T13:47:24Z 2017-07-14T13:47:24Z 2017-07 2017-06 2017-07-13T22:00:06Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/110699 Pretko, Michael. “Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story.” Physical Review B 96.3 (2017): n. pag. © 2017 American Physical Society https://orcid.org/0000-0001-5013-0186 en http://dx.doi.org/10.1103/PhysRevB.96.035119 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 | Pretko, Michael Generalized electromagnetism of subdimensional particles: A spin liquid story |
| title | Generalized electromagnetism of subdimensional particles: A spin liquid story |
| title_full | Generalized electromagnetism of subdimensional particles: A spin liquid story |
| title_fullStr | Generalized electromagnetism of subdimensional particles: A spin liquid story |
| title_full_unstemmed | Generalized electromagnetism of subdimensional particles: A spin liquid story |
| title_short | Generalized electromagnetism of subdimensional particles: A spin liquid story |
| title_sort | generalized electromagnetism of subdimensional particles a spin liquid story |
| url | http://hdl.handle.net/1721.1/110699 https://orcid.org/0000-0001-5013-0186 |
| work_keys_str_mv | AT pretkomichael generalizedelectromagnetismofsubdimensionalparticlesaspinliquidstory |