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
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Lu-2011-Z(2) spin liquids in.pdf
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Author(s)
Lu, Yuan-Ming
Ran, Ying
Lee, Patrick A.
Date Issued
June 2011
Journal
Physical review B
Publisher
American Physical Society
Citation
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
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Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.83.224413
