Generalization of spectral bulk-boundary correspondence

التفاصيل البيبلوغرافية
العنوان: Generalization of spectral bulk-boundary correspondence
المؤلفون: Tamura, Shun, Hoshino, Shintaro, Tanaka, Yukio
سنة النشر: 2021
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Superconductivity
الوصف: The bulk-boundary correspondence in one dimension asserts that the physical quantities defined in the bulk and at the edge are connected, as well established in the argument for electric polarization. Recently, a spectral bulk-boundary correspondence (SBBC), an extended version of the conventional bulk-boundary correspondence to energy-dependent spectral functions, such as Green's functions, has been proposed in chiral symmetric systems, in which the chiral operator anticommutes with the Hamiltonian. In this study, we extend the SBBC to a system with impurity scattering and dynamical self-energies, regardless of the presence or absence of a gap in the energy spectrum. Moreover, the SBBC is observed to hold even in a system without chiral symmetry, which substantially generalizes its concept. The SBBC is demonstrated with concrete models, such as superconducting nanowires and a Su-Schrieffer-Heeger model. Its potential applications and certain remaining issues are also discussed.
Comment: 16 pages, 12 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevB.104.165125
URL الوصول: http://arxiv.org/abs/2103.12359
رقم الأكسشن: edsarx.2103.12359
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevB.104.165125