تقرير
Transformer Wave Function for the Shastry-Sutherland Model: emergence of a Spin-Liquid Phase
| العنوان: | Transformer Wave Function for the Shastry-Sutherland Model: emergence of a Spin-Liquid Phase |
|---|---|
| المؤلفون: | Viteritti, Luciano Loris, Rende, Riccardo, Parola, Alberto, Goldt, Sebastian, Becca, Federico |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Disordered Systems and Neural Networks |
| الوصف: | Quantum magnetism in two-dimensional systems represents a lively branch of modern condensed-matter physics. In the presence of competing super-exchange couplings, magnetic order is frustrated and can be suppressed down to zero temperature, leading to exotic ground states. The Shastry-Sutherland model, describing $S=1/2$ degrees of freedom interacting in a two-dimensional lattice, portrays a simple example of highly-frustrated magnetism, capturing the low-temperature behavior of SrCu$_2$(BO$_3$)$_2$ with its intriguing properties. Here, we investigate this problem by using a Vision Transformer to define an extremely accurate variational wave function. From a technical side, a pivotal achievement relies on using a deep neural network with real-valued parameters, parametrized with a Transformer, to map physical spin configurations into a high-dimensional feature space. Within this abstract space, the determination of the ground-state properties is simplified, requiring only a single output layer with complex-valued parameters. From the physical side, we supply strong evidence for the stabilization of a spin-liquid between the plaquette and antiferromagnetic phases. Our findings underscore the potential of Neural-Network Quantum States as a valuable tool for probing uncharted phases of matter, opening opportunities to establish the properties of many-body systems. Comment: 10 pages, 10 figures and 1 table |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.16889 |
| رقم الأكسشن: | edsarx.2311.16889 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |