Condensed Matter


Impossibility of the Topological Insulators in Nature

Authors: Gokaran Shukla

In nature material only exist in \textit{metal}, \textit{semi-metal}, and in \textit{perfect-insulator}. Recently a new theory has been discovered and named it as a \textit{topological-insulator} theory after using the tight binding model, spin of electron and time reversal symmetry\cite{Halande} \cite{kosterlitz} \cite{noblelecture}. The discoverers \cite{Halande} \cite{kosterlitz}\cite{noblelecture} \textit{claims} that the new material should behaves like a conductor in surface, and insulators in bulk \textit{along the same principal-direction}. Inventors uses tight binding model, expanded Bloch wave-functions using atomic like basis functions, uses spin of electron, time reversal symmetry, and $punctured$ the band-gap which arises after single Bragg's plane diffraction condition. In this paper we will use the full Brillouin zones and Bragg's diffraction conditions and will show that there will $never$ be any topological insulator in nature, otherwise Bragg's diffractions condition will break-down! We will provide the fundamental difference between the topological insulators and in semi-metals, and will show that all the existing and $claimed$ topological insulators are semi-metals.

Comments: 7 Pages.

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Submission history

[v1] 2018-03-21 03:11:20

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