Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916585334112256 |
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| author | Valiente, Manuel |
| author_facet | Valiente, Manuel |
| contents | We consider one-dimensional theories of chiral fermions and bosons on a lattice, which arise as edge states of two-dimensional topological matter breaking time-reversal invariance. We show that hard core bosons or their spin chain equivalent exhibit properties that are similar to free fermions, solving the many-body problem exactly. For fermions, we study the effect of a static impurity exactly and show the orthogonality catastrophe in the continuum limit via bosonization. The interacting many-fermion problem in the continuum limit is solved exactly using simple momentum conservation arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16140 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice Valiente, Manuel Quantum Gases We consider one-dimensional theories of chiral fermions and bosons on a lattice, which arise as edge states of two-dimensional topological matter breaking time-reversal invariance. We show that hard core bosons or their spin chain equivalent exhibit properties that are similar to free fermions, solving the many-body problem exactly. For fermions, we study the effect of a static impurity exactly and show the orthogonality catastrophe in the continuum limit via bosonization. The interacting many-fermion problem in the continuum limit is solved exactly using simple momentum conservation arguments. |
| title | Exactly Solvable Models of Interacting Chiral Bosons and Fermions on a Lattice |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2501.16140 |