1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915360399163392 |
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| author | Wang, Jia-Bao Dong, Zi-Hao Zhang, Yi |
| author_facet | Wang, Jia-Bao Dong, Zi-Hao Zhang, Yi |
| contents | Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably, spontaneous symmetry breaking and long-range order may emerge at finite temperatures in such systems under periodic boundary conditions, in sharp contrast to Hermitian constructions. We demonstrate clear numerical evidence, such as order parameters and specific heat, supporting phase diagrams with robust ordered phases. Non-Hermitian physics plays a vital role in prohibiting domain-wall proliferation and promoting spontaneous symmetry breaking. The fermions exhibit an exotic topological nature in their path-integral windings, which uphold nonzero integers -- commonly a non-Hermitian signature -- in the ordered phases, thus offering a novel and spontaneous origin for both symmetry breaking and non-Hermiticity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction Wang, Jia-Bao Dong, Zi-Hao Zhang, Yi Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Computational Physics Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably, spontaneous symmetry breaking and long-range order may emerge at finite temperatures in such systems under periodic boundary conditions, in sharp contrast to Hermitian constructions. We demonstrate clear numerical evidence, such as order parameters and specific heat, supporting phase diagrams with robust ordered phases. Non-Hermitian physics plays a vital role in prohibiting domain-wall proliferation and promoting spontaneous symmetry breaking. The fermions exhibit an exotic topological nature in their path-integral windings, which uphold nonzero integers -- commonly a non-Hermitian signature -- in the ordered phases, thus offering a novel and spontaneous origin for both symmetry breaking and non-Hermiticity. |
| title | 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Computational Physics |
| url | https://arxiv.org/abs/2410.19052 |