## Get illustration

- download Pixel graphics (PNG)
*awesome for presentations* - download Vector graphics (SVG)
*awesome for websites* - download Source file (AI)
*perfect for customizing* - Unlock downloads

**Share** — copy and redistribute the material in any medium or format

**Adapt** — remix, transform, and build upon the material for any purpose, even commercially.

**Sharing and adapting of the illustration is allowed with indication of the link to the illustration.**

The energy spectrum \(W_n\) as a function of the parameter \(\mu / w \) (\(\mu\): chemical potential, \(w\): Hopping parameter) for the following Hamiltonian function:

`\begin{align} H_1 ~&=~ -\underset{j}{\boxed{+}}~ \mu \, c_{2j-1}\,c_{2j} \\\\ ~&+~ \underset{j}{\boxed{+}}~ \left(w+|\Delta|\right)c_{2j}\,c_{2j+1} \end{align}`Here, \(c_{2j-1}\), \(c_{2j} \) and \(c_{2j+1} \) are Majorana operators applied to the \(j\)th site in a Kitaev chain. For the plot, the hopping parameter \(w=2\) and the pair potential \(\mathit{\Delta}=2\) were chosen.

Two Majorana fermions are created at the edges of the Kitaev chain and each has energy \(W = 0 \). The Majorana fermions, as seen on the plot, remain stable up to \(\mu \approx 2\).