Obtaining Majorana and other boundary modes from the metamorphosis of impurity-induced states: Exact solutions via the T-matrix
| Autor: | C. Bena, Vardan Kaladzhyan |
|---|---|
| Přispěvatelé: | Royal Institute of Technology [Stockholm] (KTH ), Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), European Project: 679722,QuantMatt - Grant agreement ID: 679722 |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
T matrix Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Superconductivity FOS: Physical sciences 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Superconductivity (cond-mat.supr-con) MAJORANA Formalism (philosophy of mathematics) Impurity Quantum mechanics 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Edge states 010306 general physics 0210 nano-technology [PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall] Surface states |
| Zdroj: | Physical Review B Physical Review B, 2019, 100 (8), pp.081106(R). ⟨10.1103/PhysRevB.100.081106⟩ Physical Review B, American Physical Society, 2019, 100 (8), pp.081106(R). ⟨10.1103/PhysRevB.100.081106⟩ |
| ISSN: | 2469-9950 2469-9969 |
| DOI: | 10.1103/PhysRevB.100.081106⟩ |
| Popis: | We provide here a new and exact formalism to describe the formation of end, edge or surface states through the evolution of impurity-induced states. We propose a general algorithm that consists of finding the impurity states via the T-matrix formalism and showing that they evolve into boundary modes when the impurity potential goes to infinity. We apply this technique to obtain Majorana states in 1D and 2D systems described by the Kitaev model with point-like and respectively line-like impurities. We confirm our exact analytical results by a numerical tight-binding approach. We argue that our formalism can be applied to other topological models, as well as to any model exhibiting edge states. 5 pages, 5 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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