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Discrete and Weyl density of states for photonic dispersion relation
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. Nano Energy Research Group, Energy Institute, Istanbul Technical University, 34469, Istanbul, Turkey.ORCID iD: 0000-0002-1130-0936
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. Nano Energy Research Group, Energy Institute, Istanbul Technical University, 34469, Istanbul, Turkey.ORCID iD: 0000-0002-7431-5115
2019 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 94, no 10, article id 105001Article in journal (Refereed) Published
Abstract [en]

The current density of states (DOS) calculations do not take into account the essential discretenessof the state space, since they rely on the unbounded continuum approximation. Recently, discrete DOS based on the quantum-mechanically allowable minimum energy interval has been introducedfor quadratic dispersion relation. In this work, we consider systems exhibiting photonic (photon-like) dispersion relation and calculate the related density and number of states (NOS). Also, a Weyl's conjecture-based DOS function is calculated for photons and acoustic phonons at low frequency limit,by considering the bounded continuum approach. We show that discrete DOS function reducesto expressions of bounded and unbounded continua in the appropriate limits. The uctuationsin discrete DOS completely disappear under accumulation operators. It's interesting that relativeerrors of NOS and DOS functions with respect to discrete ones have exactly the same character withthe ones of quadratic dispersion relation. Furthermore, the application of discrete and Weyl DOS for the calculation of internal energy of a photon gas is presented and importance of discrete DOSis discussed. It's shown that discrete DOS function given in this work needs to be used wheneverthe low energy levels of a physical system are heavily occupied.

Place, publisher, year, edition, pages
2019. Vol. 94, no 10, article id 105001
Keywords [en]
density of states, Weyl's conjecture, confined systems
National Category
Condensed Matter Physics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-380267DOI: 10.1088/1402-4896/ab0bc5ISI: 000478733700001OAI: oai:DiVA.org:uu-380267DiVA, id: diva2:1298989
Available from: 2019-03-25 Created: 2019-03-25 Last updated: 2019-10-02Bibliographically approved

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Aydin, AlhunSisman, Altug

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