Absence of embedded eigenvalues in semi-Dirac semi-metals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386707" target="_blank" >RIV/68407700:21340/25:00386707 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1402-4896/ade2a4" target="_blank" >https://doi.org/10.1088/1402-4896/ade2a4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1402-4896/ade2a4" target="_blank" >10.1088/1402-4896/ade2a4</a>
Alternative languages
Result language
angličtina
Original language name
Absence of embedded eigenvalues in semi-Dirac semi-metals
Original language description
Semi-Dirac semi-metals are recently constructed nanostructures, which behave like both conventional zero-gap semiconductors and graphene-type materials in a sense. These nano-structures have been extensively studied in the physics literature, however, the rigorous mathematical investigation is missing. In the pioneering work [32], Krej & ccaron;i & rcaron;& iacute;k and Antunes analyze the spectral stability properties under small perturbations, notably sufficient conditions of absence/existence of discrete eigenvalues. The main objective of this paper is to formulate sufficient conditions of absence of eigenvalues embedded in the essential spectrum. The first approach is in the spirit of the virial theorem, the other approach is the method of multipliers. The main idea of both methods is the choice of an anisotropic dilation operator corresponding to the anisotropy of semi-Dirac semi-metals.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica Scripta
ISSN
0031-8949
e-ISSN
1402-4896
Volume of the periodical
100
Issue of the periodical within the volume
7
Country of publishing house
SE - SWEDEN
Number of pages
11
Pages from-to
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UT code for WoS article
001512340900001
EID of the result in the Scopus database
2-s2.0-105008973201