Scaling and data collapse from local moments in frustrated disordered quantum spin systems
Recently measurements on various spin–1/2 quantum magnets such as H3LiIr2O6, LiZn2Mo3O8, ZnCu3(OH)6Cl2 and 1T-TaS2—all described by magnetic frustration and quenched disorder but with no other common relation—nevertheless showed apparently universal scaling features at low temperature. In particular...
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| Format: | Article |
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Springer Nature
2020
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| Online Access: | https://hdl.handle.net/1721.1/124809 |
| _version_ | 1811075875507011584 |
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| author | Kimchi, Itamar Sheckelton, John P. McQueen, Tyrel M. Lee, Patrick A. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Kimchi, Itamar Sheckelton, John P. McQueen, Tyrel M. Lee, Patrick A. |
| author_sort | Kimchi, Itamar |
| collection | MIT |
| description | Recently measurements on various spin–1/2 quantum magnets such as H3LiIr2O6, LiZn2Mo3O8, ZnCu3(OH)6Cl2 and 1T-TaS2—all described by magnetic frustration and quenched disorder but with no other common relation—nevertheless showed apparently universal scaling features at low temperature. In particular the heat capacity C[H, T] in temperature T and magnetic field H exhibits T/H data collapse reminiscent of scaling near a critical point. Here we propose a theory for this scaling collapse based on an emergent random-singlet regime extended to include spin-orbit coupling and antisymmetric Dzyaloshinskii-Moriya (DM) interactions. We derive the scaling C[H, T]/T ~ H−γFq[T/H] with Fq[x] = xq at small x, with q ∈ {0, 1, 2} an integer exponent whose value depends on spatial symmetries. The agreement with experiments indicates that a fraction of spins form random valence bonds and that these are surrounded by a quantum paramagnetic phase. We also discuss distinct scaling for magnetization with a q-dependent subdominant term enforced by Maxwell’s relations. ©2018 |
| first_indexed | 2024-09-23T10:13:11Z |
| format | Article |
| id | mit-1721.1/124809 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:13:11Z |
| publishDate | 2020 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | mit-1721.1/1248092022-09-26T16:34:15Z Scaling and data collapse from local moments in frustrated disordered quantum spin systems Kimchi, Itamar Sheckelton, John P. McQueen, Tyrel M. Lee, Patrick A. Massachusetts Institute of Technology. Department of Physics Recently measurements on various spin–1/2 quantum magnets such as H3LiIr2O6, LiZn2Mo3O8, ZnCu3(OH)6Cl2 and 1T-TaS2—all described by magnetic frustration and quenched disorder but with no other common relation—nevertheless showed apparently universal scaling features at low temperature. In particular the heat capacity C[H, T] in temperature T and magnetic field H exhibits T/H data collapse reminiscent of scaling near a critical point. Here we propose a theory for this scaling collapse based on an emergent random-singlet regime extended to include spin-orbit coupling and antisymmetric Dzyaloshinskii-Moriya (DM) interactions. We derive the scaling C[H, T]/T ~ H−γFq[T/H] with Fq[x] = xq at small x, with q ∈ {0, 1, 2} an integer exponent whose value depends on spatial symmetries. The agreement with experiments indicates that a fraction of spins form random valence bonds and that these are surrounded by a quantum paramagnetic phase. We also discuss distinct scaling for magnetization with a q-dependent subdominant term enforced by Maxwell’s relations. ©2018 U.S. Department of Energy, office of Basic Energy Sciences, Division of Materials Sciences and Engineering (grant no. DEFG02-08ER46544) DOE (grant no. DE-FG02-03-ER46076) 2020-04-22T18:01:23Z 2020-04-22T18:01:23Z 2018-10 2019-03-29T13:55:41Z Article http://purl.org/eprint/type/JournalArticle 2041-1723 https://hdl.handle.net/1721.1/124809 Kimchi, Itamar, John P. Sheckelton, Tyrel M. McQueen, and Patrick A. Lee. “Scaling and Data Collapse from Local Moments in Frustrated Disordered Quantum Spin Systems.” Nature Communications 9, 1 (October 2018): no. 4367 doi 10.1038/s41467-018-06800-2 ©2018 Author(s) 10.1038/S41467-018-06800-2 Nature communications https://creativecommons.org/licenses/by/4.0/ application/pdf Springer Nature Nature |
| spellingShingle | Kimchi, Itamar Sheckelton, John P. McQueen, Tyrel M. Lee, Patrick A. Scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| title | Scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| title_full | Scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| title_fullStr | Scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| title_full_unstemmed | Scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| title_short | Scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| title_sort | scaling and data collapse from local moments in frustrated disordered quantum spin systems |
| url | https://hdl.handle.net/1721.1/124809 |
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