Dirac and chiral spin liquids on spin-1/2 square-lattice Heisenberg antiferromagnet
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912266405806080 |
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| author | Jin, Hui-Ke Tu, Hong-Hao Zhang, Ya-Hui |
| author_facet | Jin, Hui-Ke Tu, Hong-Hao Zhang, Ya-Hui |
| contents | We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group method with analytical analyses, we present clear evidence that the ground state is a Z$_2$ Dirac spin liquid. This state can be efficiently described by a Gutzwiller-projected parton theory characterized by its projective symmetry group. To distinguish the difference between the projected Z$_2$ and U(1) parton state, we investigate the chiral spin liquid ground states as topological orders by incorporating a $J_χ$ term into the $J_1$-$J_2$ model and observe a transition from a Z$_2$ chiral spin liquid to a U(1)$_2$ chiral spin liquid as $J_χ$ increases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_14114 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dirac and chiral spin liquids on spin-1/2 square-lattice Heisenberg antiferromagnet Jin, Hui-Ke Tu, Hong-Hao Zhang, Ya-Hui Strongly Correlated Electrons Superconductivity We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group method with analytical analyses, we present clear evidence that the ground state is a Z$_2$ Dirac spin liquid. This state can be efficiently described by a Gutzwiller-projected parton theory characterized by its projective symmetry group. To distinguish the difference between the projected Z$_2$ and U(1) parton state, we investigate the chiral spin liquid ground states as topological orders by incorporating a $J_χ$ term into the $J_1$-$J_2$ model and observe a transition from a Z$_2$ chiral spin liquid to a U(1)$_2$ chiral spin liquid as $J_χ$ increases. |
| title | Dirac and chiral spin liquids on spin-1/2 square-lattice Heisenberg antiferromagnet |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2411.14114 |