Banerjee, A and Bandyopadhyay, A and Sarkar, R and Narayan, A (2024) Non-Hermitian topology and flat bands via an exact real-space decimation scheme. In: Physical Review B, 110 (8).
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Abstract
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 paper 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. © 2024 American Physical Society.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review B |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to the authors. |
| Keywords: | Quantum optics, Classical systems; Flat band; Hermitians; Multi band; Multiband systems; Quantum dynamics; Quantum system; Real-space; Real-space renormalization group; Topological state, Topology |
| Department/Centre: | Division of Chemical Sciences > Solid State & Structural Chemistry Unit Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 17 Sep 2024 06:37 |
| Last Modified: | 17 Sep 2024 06:37 |
| URI: | http://eprints.iisc.ac.in/id/eprint/86116 |
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