Topological domain-wall pump with $\mathbb{Z}_2$ spontaneous symmetry breaking
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910716350431232 |
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| author | Kuno, Yoshihito Hatsugai, Yasuhiro |
| author_facet | Kuno, Yoshihito Hatsugai, Yasuhiro |
| contents | A domain-wall pump by an extended cluster model of $S=1/2$ spins is proposed with local $U(1)$ gauge invariance. Its snapshot ground state is gapped and doubly degenerated due to $\mathbb{Z}_2$ invariance, which is broken by an infinitesimal boundary magnetic field. The ground state associated with the spontaneous symmetry breaking (SSB) is still symmetry-protected with additional spatial inversion that is characterized by the $\mathbb{Z}_2$ Berry phase. We investigate the topological domain-wall pump with/without boundaries. The topological pump associated with the inversion symmetry-breaking path induces a non-trivial Chern number of bulk and a singular behavior of edge states of the domain-wall. Generalization to the multi-spin interaction is also explicitly given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17219 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological domain-wall pump with $\mathbb{Z}_2$ spontaneous symmetry breaking Kuno, Yoshihito Hatsugai, Yasuhiro Strongly Correlated Electrons Quantum Gases Quantum Physics A domain-wall pump by an extended cluster model of $S=1/2$ spins is proposed with local $U(1)$ gauge invariance. Its snapshot ground state is gapped and doubly degenerated due to $\mathbb{Z}_2$ invariance, which is broken by an infinitesimal boundary magnetic field. The ground state associated with the spontaneous symmetry breaking (SSB) is still symmetry-protected with additional spatial inversion that is characterized by the $\mathbb{Z}_2$ Berry phase. We investigate the topological domain-wall pump with/without boundaries. The topological pump associated with the inversion symmetry-breaking path induces a non-trivial Chern number of bulk and a singular behavior of edge states of the domain-wall. Generalization to the multi-spin interaction is also explicitly given. |
| title | Topological domain-wall pump with $\mathbb{Z}_2$ spontaneous symmetry breaking |
| topic | Strongly Correlated Electrons Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2411.17219 |