تقرير
Non-Hermitian Topology and Flat Bands via an Exact Real Space Decimation Scheme
العنوان: | Non-Hermitian Topology and Flat Bands via an Exact Real Space Decimation Scheme |
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المؤلفون: | Banerjee, Ayan, Bandyopadhyay, Arka, Sarkar, Ronika, Narayan, Awadhesh |
سنة النشر: | 2023 |
المجموعة: | Condensed Matter |
مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics |
الوصف: | In recent years, non-Hermitian phases in classical and quantum systems have garnered significant attention. In particular, their intriguing band geometry offers a platform for exploring unique topological states and unconventional quantum dynamics. However, their topological characterization becomes particularly interesting and challenging in complex multiband systems. Here we propose a decimation framework, which leverages real space renormalization group to streamline the analysis of complex multiband non-Hermitian systems. Our systematic approach allows us to probe different phases and transitions, analyze bulk-boundary correspondence, formulate generalized Brillouin zones, investigate open boundary spectra, survey non-Bloch van Hove singularities, study disorder-induced effects, and explore tunable non-Hermitian flat band physics. Additionally, our framework allows proposing a hypothesis about quasi-one-dimensional bipartite non-Hermitian systems with flat bands, demonstrating their decoupling into Su-Schrieffer-Heeger chains and compact localized states across various models. Our work presents a powerful and comprehensive framework for understanding the intricate properties of non-Hermitian multiband systems, offering insights into the evolving landscape of non-Hermitian topological physics. Comment: Comments are welcome! |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2310.04834 |
رقم الأكسشن: | edsarx.2310.04834 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |