Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study
Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half filling using the infinite-system density matrix renormaliza...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-05-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.10.021042 |
| _version_ | 1818431657316712448 |
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| author | Aaron Szasz Johannes Motruk Michael P. Zaletel Joel E. Moore |
| author_facet | Aaron Szasz Johannes Motruk Michael P. Zaletel Joel E. Moore |
| author_sort | Aaron Szasz |
| collection | DOAJ |
| description | Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half filling using the infinite-system density matrix renormalization group (iDMRG) method. On infinite cylinders with finite circumference, we identify an intermediate phase between observed metallic behavior at low interaction strength and Mott insulating spin-ordered behavior at strong interactions. Chiral ordering from spontaneous breaking of time-reversal symmetry, a fractionally quantized spin Hall response, and characteristic level statistics in the entanglement spectrum in the intermediate phase provide strong evidence for the existence of a chiral spin liquid in the full two-dimensional limit of the model. |
| first_indexed | 2024-12-14T15:52:47Z |
| format | Article |
| id | doaj.art-3d67194fa00e476a978785dfe4e28311 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-14T15:52:47Z |
| publishDate | 2020-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-3d67194fa00e476a978785dfe4e283112022-12-21T22:55:20ZengAmerican Physical SocietyPhysical Review X2160-33082020-05-0110202104210.1103/PhysRevX.10.021042Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group StudyAaron SzaszJohannes MotrukMichael P. ZaletelJoel E. MooreMotivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half filling using the infinite-system density matrix renormalization group (iDMRG) method. On infinite cylinders with finite circumference, we identify an intermediate phase between observed metallic behavior at low interaction strength and Mott insulating spin-ordered behavior at strong interactions. Chiral ordering from spontaneous breaking of time-reversal symmetry, a fractionally quantized spin Hall response, and characteristic level statistics in the entanglement spectrum in the intermediate phase provide strong evidence for the existence of a chiral spin liquid in the full two-dimensional limit of the model.http://doi.org/10.1103/PhysRevX.10.021042 |
| spellingShingle | Aaron Szasz Johannes Motruk Michael P. Zaletel Joel E. Moore Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study Physical Review X |
| title | Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study |
| title_full | Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study |
| title_fullStr | Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study |
| title_full_unstemmed | Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study |
| title_short | Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study |
| title_sort | chiral spin liquid phase of the triangular lattice hubbard model a density matrix renormalization group study |
| url | http://doi.org/10.1103/PhysRevX.10.021042 |
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