Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice
In this paper, we describe a mechanism by which the destruction of the Kondo coherence at the same time gives rise to antiferromagnetic ordering. This picture is in contrast to the Doniach picture of the competition of Kondo coherence and antiferromagentic ordering. Our study is done in the honeyc...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/65594 https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7809-8157 |
| _version_ | 1826193660348203008 |
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| author | Saremi, Saeed Lee, Patrick A. Senthil, Todadri |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Saremi, Saeed Lee, Patrick A. Senthil, Todadri |
| author_sort | Saremi, Saeed |
| collection | MIT |
| description | In this paper, we describe a mechanism by which the destruction of the Kondo coherence at the same time
gives rise to antiferromagnetic ordering. This picture is in contrast to the Doniach picture of the competition
of Kondo coherence and antiferromagentic ordering. Our study is done in the honeycomb lattice at half-filling,
where Kondo coherence gives rise to a Kondo insulator.We go beyond mean-field (largeN) formulation of Kondo
coherence in Kondo lattices and consider excitations we call Kondo vortices. A Kondo vortex is a configuration
where at its core the Kondo amplitude vanishes while far away from the core it retains the uniform Kondo
amplitude. A Kondo vortex in our model brings four zero modes to the chemical potential. The zero modes play
a crucial role as they allow us to construct spin-1 operators. We further study the transformation of these spin-1
Kondo vortex operators under various symmetry transformations of the Kondo Hamiltonian and find a class of
operators that transform like an antiferromagnetic order parameter. This gives a novel picture of how one can
create antiferromagnetic ordering by proliferating Kondo vortices inside a Kondo coherent phase. We finish by
studying the universality class of this Kondo vortex mediated antiferromagnetic transition and conclude that it is
in the O(3) universality class. |
| first_indexed | 2024-09-23T09:42:40Z |
| format | Article |
| id | mit-1721.1/65594 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:42:40Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/655942022-09-26T13:17:08Z Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice Saremi, Saeed Lee, Patrick A. Senthil, Todadri Massachusetts Institute of Technology. Department of Physics Lee, Patrick A. Saremi, Saeed Lee, Patrick A. Senthil, Todadri In this paper, we describe a mechanism by which the destruction of the Kondo coherence at the same time gives rise to antiferromagnetic ordering. This picture is in contrast to the Doniach picture of the competition of Kondo coherence and antiferromagentic ordering. Our study is done in the honeycomb lattice at half-filling, where Kondo coherence gives rise to a Kondo insulator.We go beyond mean-field (largeN) formulation of Kondo coherence in Kondo lattices and consider excitations we call Kondo vortices. A Kondo vortex is a configuration where at its core the Kondo amplitude vanishes while far away from the core it retains the uniform Kondo amplitude. A Kondo vortex in our model brings four zero modes to the chemical potential. The zero modes play a crucial role as they allow us to construct spin-1 operators. We further study the transformation of these spin-1 Kondo vortex operators under various symmetry transformations of the Kondo Hamiltonian and find a class of operators that transform like an antiferromagnetic order parameter. This gives a novel picture of how one can create antiferromagnetic ordering by proliferating Kondo vortices inside a Kondo coherent phase. We finish by studying the universality class of this Kondo vortex mediated antiferromagnetic transition and conclude that it is in the O(3) universality class. United States. Dept. of Energy (Grant DE-FG02-03ER46076) National Science Foundation (U.S.) (Grant DMR-0705255) 2011-09-01T20:59:01Z 2011-09-01T20:59:01Z 2011-03 2010-10 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/65594 Saremi, Saeed, Patrick Lee, and T. Senthil. “Unifying Kondo Coherence and Antiferromagnetic Ordering in the Honeycomb Lattice.” Physical Review B 83.12 (2011) : n. pag. ©2011 American Physical Society https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7809-8157 en_US http://dx.doi.org/10.1103/PhysRevB.83.125120 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 | Saremi, Saeed Lee, Patrick A. Senthil, Todadri Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| title | Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| title_full | Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| title_fullStr | Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| title_full_unstemmed | Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| title_short | Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| title_sort | unifying kondo coherence and antiferromagnetic ordering in the honeycomb lattice |
| url | http://hdl.handle.net/1721.1/65594 https://orcid.org/0000-0003-4203-4148 https://orcid.org/0000-0001-7809-8157 |
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