تقرير
Bipartite Sachdev-Ye Models with Read-Saleur Symmetries
| العنوان: | Bipartite Sachdev-Ye Models with Read-Saleur Symmetries |
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| المؤلفون: | Classen-Howes, J., Fendley, P., Pandey, A., Parameswaran, S. A. |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Theory |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory |
| الوصف: | We introduce an SU(M)-symmetric disordered bipartite spin model with unusual characteristics. Although superficially similar to the Sachdev-Ye model, it has several markedly different properties for M>2. In particular, it has a large non-trivial nullspace whose dimension grows exponentially with system size. The states in this nullspace are frustration-free, and are ground states when the interactions are ferromagnetic. The exponential growth of the nullspace leads to Hilbert-space fragmentation and a violation of the eigenstate thermalization hypothesis. We demonstrate that the commutant algebra responsible for this fragmentation is a non-trivial subalgebra of the Read-Saleur commutant algebra of certain nearest-neighbour models such as the spin-1 biquadratic spin chain. We also discuss the low-energy behaviour of correlations for the disordered version of this model in the limit of a large number of spins and large M, using techniques similar to those applied to the SY model. We conclude by generalizing the Shiraishi-Mori embedding formalism to non-local models, and apply it to turn some of our nullspace states into quantum many-body scars. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.15270 |
| رقم الأكسشن: | edsarx.2403.15270 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |