تقرير
Spontaneous breaking of U(1) symmetry at zero temperature in one dimension
| العنوان: | Spontaneous breaking of U(1) symmetry at zero temperature in one dimension |
|---|---|
| المؤلفون: | Watanabe, Haruki, Katsura, Hosho, Lee, Jong Yeon |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Superconductivity, Quantum Physics |
| الوصف: | The Hohenberg--Mermin--Wagner theorem states that there is no spontaneous breaking of continuous symmetries in spatial dimensions $d\leq2$ at finite temperature. At zero temperature, the classical/quantum mapping further implies the absence of continuous symmetry breaking in one dimension, which is also known as Coleman's theorem in the context of relativistic quantum field theories. Except for the classic example of the Heisenberg ferromagnet and its variations, there has been no known counterexample to the theorem. In this Letter, we discuss new examples that display spontaneous breaking of a U(1) symmetry at zero temperature, although the order parameter does not commute with the Hamiltonian unlike the Heisenberg ferromagnet. We argue that a more general condition for this behavior is that the Hamiltonian is frustration-free. Comment: 5 pages, 1 figure + Supplementary Material (16 pages and 3 figures) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.16881 |
| رقم الأكسشن: | edsarx.2310.16881 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |