Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912755225722880 |
|---|---|
| author | Gao, Tingyu Tausendpfund, Niklas Weerda, Erik L. Naumann, Jan Rizzi, Matteo Mross, David F. |
| author_facet | Gao, Tingyu Tausendpfund, Niklas Weerda, Erik L. Naumann, Jan Rizzi, Matteo Mross, David F. |
| contents | Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the Kalmeyer-Laughlin CSL without requiring fine-tuning. Our approach employs coupled-wire constructions and introduces a lattice duality to construct a solvable chiral sliding Luttinger liquid, which is driven toward the CSL phase by generic perturbations. By combining symmetry analysis and bosonization, we make sharp predictions for the ground states on quasi-one-dimensional cylinders and tori, which exhibit a fourfold periodicity in the circumference. Extensive tensor network simulations demonstrating ground-state degeneracies, fractional quasiparticles, nonvanishing long-range order parameters, and entanglement signatures confirm the emergence of the CSL in the lattice Hamiltonian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires Gao, Tingyu Tausendpfund, Niklas Weerda, Erik L. Naumann, Jan Rizzi, Matteo Mross, David F. Strongly Correlated Electrons Quantum Physics Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the Kalmeyer-Laughlin CSL without requiring fine-tuning. Our approach employs coupled-wire constructions and introduces a lattice duality to construct a solvable chiral sliding Luttinger liquid, which is driven toward the CSL phase by generic perturbations. By combining symmetry analysis and bosonization, we make sharp predictions for the ground states on quasi-one-dimensional cylinders and tori, which exhibit a fourfold periodicity in the circumference. Extensive tensor network simulations demonstrating ground-state degeneracies, fractional quasiparticles, nonvanishing long-range order parameters, and entanglement signatures confirm the emergence of the CSL in the lattice Hamiltonian. |
| title | Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2502.13223 |