Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909456813522944 |
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| author | Capponi, Sylvain Devos, Lukas Lecheminant, Philippe Totsuka, Keisuke Vanderstraeten, Laurens |
| author_facet | Capponi, Sylvain Devos, Lukas Lecheminant, Philippe Totsuka, Keisuke Vanderstraeten, Laurens |
| contents | We investigate the nature of the quantum phase transition in modulated SU(N) Heisenberg spin chains. In the odd-N case, the transition separates a trivial non-degenerate phase to a doubly-degenerate gapped chiral PSU(N) symmetry-protected topological (SPT) phase which breaks spontaneously the inversion symmetry. The transition is not an Ising transition associated to the breaking of the $\mathbb{Z}_2$ inversion symmetry, but is governed by the delocalization of the edge states of the SPT phase. In this respect, a modulated SU(N) Heisenberg spin chain provides a simple example in one dimension of a non-Landau phase transition which is described by the SU(N)$_1$ conformal field theory. We show that the chiral SPT phase exhibits fractionalized spinon excitations, which can be confined by changing the model parameters slightly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01019 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains Capponi, Sylvain Devos, Lukas Lecheminant, Philippe Totsuka, Keisuke Vanderstraeten, Laurens Strongly Correlated Electrons Quantum Gases We investigate the nature of the quantum phase transition in modulated SU(N) Heisenberg spin chains. In the odd-N case, the transition separates a trivial non-degenerate phase to a doubly-degenerate gapped chiral PSU(N) symmetry-protected topological (SPT) phase which breaks spontaneously the inversion symmetry. The transition is not an Ising transition associated to the breaking of the $\mathbb{Z}_2$ inversion symmetry, but is governed by the delocalization of the edge states of the SPT phase. In this respect, a modulated SU(N) Heisenberg spin chain provides a simple example in one dimension of a non-Landau phase transition which is described by the SU(N)$_1$ conformal field theory. We show that the chiral SPT phase exhibits fractionalized spinon excitations, which can be confined by changing the model parameters slightly. |
| title | Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2409.01019 |