English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Recently, Majorana's spirit returns to modern condensed matter physics -- inthe context of topological Majorana zero mode that represents a local halfdegree of freedom carrying non-Abelian statistics.In this paper, we investigatethe topological nature of a Majorana fermion by assuming that it is made up offour Majorana zero modes at cutoff energy scale. First, we show that a pair ofMajorana zero modes can realize a $T^4=-1$ time reversal symmetry, a $P^4=-1$parity symmetry and even a nontrivial $\overline C^4=-1$ charge conjugationsymmetry. Next, we propose a $\overline CPT$ super algebra for the Majoranafermion made up of four Majorana zero modes. Furthermore, the origin of threegenerations of neutrinos(assuming they are Majorana fermions) can be naturallyexplained as three distinguishable ways to form a pair of (local) complexfermions out of four Majorana zero modes. Finally, we compute the neutrino massmixing matrix and mass ratios of the three mass eigenstates from a firstprinciple at leading order(in the absence of $CP$ violation and charged leptoncorrections). We obtain $\theta_{12} =31.7^\circ$, $\theta_{23}=45^\circ$,$\theta_{13}=0^\circ$ and $m_1/m_3=m_2/m_3=3/\sqrt{5}$. We predict theeffective mass in neutrinoless double beta decay to be$m_{\beta\beta}=m_1/\sqrt{5}$.

Neutrino as topological Majorana zero modes: the origin of three generations of neutrinos and their mass mixing