A Class of Exactly Solvable Hamiltonians for S=1/2 Quantum Magnets with Spinless Fermionic Excitations in Higher Dimensions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913392150708224 |
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| author | Pujari, Sumiran |
| author_facet | Pujari, Sumiran |
| contents | This contribution summarizes the main results of a work on exactly solvable Hamiltonians for quantum magnets. A class of Hamiltonians which supports fractionalized spinless fermionic excitations in dimensions greater than one is written down. A well-known one-dimensional example is that of S=1/2 spin chains with Luttinger liquid physics and spinless fermionic excitations that are also called spinons. A well-known two-dimensional example is that of Kitaev's S=1/2 honeycomb model with bond-dependent magnetic couplings which supports Majorana fermionic excitations. The class of models to be discussed here also exploits bond-dependent couplings in a different way to non-perturbatively stabilize spinless fermionic spinons and also Majorana fermions. A more detailed account of these results is being prepared for publication elsewhere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Class of Exactly Solvable Hamiltonians for S=1/2 Quantum Magnets with Spinless Fermionic Excitations in Higher Dimensions Pujari, Sumiran Strongly Correlated Electrons This contribution summarizes the main results of a work on exactly solvable Hamiltonians for quantum magnets. A class of Hamiltonians which supports fractionalized spinless fermionic excitations in dimensions greater than one is written down. A well-known one-dimensional example is that of S=1/2 spin chains with Luttinger liquid physics and spinless fermionic excitations that are also called spinons. A well-known two-dimensional example is that of Kitaev's S=1/2 honeycomb model with bond-dependent magnetic couplings which supports Majorana fermionic excitations. The class of models to be discussed here also exploits bond-dependent couplings in a different way to non-perturbatively stabilize spinless fermionic spinons and also Majorana fermions. A more detailed account of these results is being prepared for publication elsewhere. |
| title | A Class of Exactly Solvable Hamiltonians for S=1/2 Quantum Magnets with Spinless Fermionic Excitations in Higher Dimensions |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.10669 |