Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states
Due to strong geometric frustration and quantum fluctuation, the S = 1/2 quantum Heisenberg antiferromagnet on the kagome lattice has long been considered as an ideal platform to realize a spin liquid (SL), a phase exhibiting fractionalized excitations without any symmetry breaking. A recent numer...
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| Format: | Article |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/65629 https://orcid.org/0000-0001-7809-8157 |
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| author | Lu, Yuan-Ming Ran, Ying Lee, Patrick A. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Lu, Yuan-Ming Ran, Ying Lee, Patrick A. |
| author_sort | Lu, Yuan-Ming |
| collection | MIT |
| description | Due to strong geometric frustration and quantum fluctuation, the S = 1/2 quantum Heisenberg antiferromagnet
on the kagome lattice has long been considered as an ideal platform to realize a spin liquid (SL), a phase
exhibiting fractionalized excitations without any symmetry breaking. A recent numerical study (Yan et al.,
e-print arXiv:1011.6114) of the Heisenberg S = 1/2, kagome lattice model (HKLM) shows, in contrast to earlier
results, that the ground state is a singlet-gapped SL with signatures of Z2 [Z subscript 2] topological order. Motivated by
this numerical discovery, we use the projective symmetry group to classify all 20 possible Schwinger fermion
mean-field states of Z2 [Z subscript 2] SLs on the kagome lattice. Among them we found only one gapped Z2 [Z subscript 2] SL (which we call
the Z2[0,π]β [Z subscript 2 [0,pi] Beta] state) in the neighborhood of the U(1) Dirac SL state. Since its parent state, i.e., the U(1) Dirac SL,
was found [Ran et al., Phys. Rev. Lett. 98, 117205 (2007)] to be the lowest among many other candidate U(1)
SLs, including the uniform resonating-valence-bond states, we propose this Z2[0,π]β [Z subscript 2 [0,pi] Beta] state to be the numerically
discovered SL ground state of the HKLM. |
| first_indexed | 2024-09-23T16:15:09Z |
| format | Article |
| id | mit-1721.1/65629 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:15:09Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/656292022-10-02T07:15:32Z Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states Lu, Yuan-Ming Ran, Ying Lee, Patrick A. Massachusetts Institute of Technology. Department of Physics Lee, Patrick A. Lee, Patrick A. Due to strong geometric frustration and quantum fluctuation, the S = 1/2 quantum Heisenberg antiferromagnet on the kagome lattice has long been considered as an ideal platform to realize a spin liquid (SL), a phase exhibiting fractionalized excitations without any symmetry breaking. A recent numerical study (Yan et al., e-print arXiv:1011.6114) of the Heisenberg S = 1/2, kagome lattice model (HKLM) shows, in contrast to earlier results, that the ground state is a singlet-gapped SL with signatures of Z2 [Z subscript 2] topological order. Motivated by this numerical discovery, we use the projective symmetry group to classify all 20 possible Schwinger fermion mean-field states of Z2 [Z subscript 2] SLs on the kagome lattice. Among them we found only one gapped Z2 [Z subscript 2] SL (which we call the Z2[0,π]β [Z subscript 2 [0,pi] Beta] state) in the neighborhood of the U(1) Dirac SL state. Since its parent state, i.e., the U(1) Dirac SL, was found [Ran et al., Phys. Rev. Lett. 98, 117205 (2007)] to be the lowest among many other candidate U(1) SLs, including the uniform resonating-valence-bond states, we propose this Z2[0,π]β [Z subscript 2 [0,pi] Beta] state to be the numerically discovered SL ground state of the HKLM. United States. Dept. of Energy (Grant no. DE-FG02-99ER45747) Boston College National Science Foundation (U.S.) (Grant no. No. NSF DMR-0804040) 2011-09-09T18:02:47Z 2011-09-09T18:02:47Z 2011-06 2011-04 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/65629 Lu, Yuan-Ming, Ying Ran, and Patrick Lee. “Z_{2} Spin Liquids in the S=1/2 Heisenberg Model on the Kagome Lattice: A Projective Symmetry-group Study of Schwinger Fermion Mean-field States.” Physical Review B 83.22 (2011) : n. pag. ©2011 American Physical Society https://orcid.org/0000-0001-7809-8157 en_US http://dx.doi.org/10.1103/PhysRevB.83.224413 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 | Lu, Yuan-Ming Ran, Ying Lee, Patrick A. Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states |
| title | Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states |
| title_full | Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states |
| title_fullStr | Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states |
| title_full_unstemmed | Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states |
| title_short | Z2 [Z subscript 2] spin liquids in the S=1/2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states |
| title_sort | z2 z subscript 2 spin liquids in the s 1 2 heisenberg model on the kagome lattice a projective symmetry group study of schwinger fermion mean field states |
| url | http://hdl.handle.net/1721.1/65629 https://orcid.org/0000-0001-7809-8157 |
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