Majorana zero modes in nanowires
Spin–orbit-coupled proximitized nanowires can enter a topological superconducting regime.
$$H_{\rm BdG}=\left(\frac{p^2}{2m^*}-\mu\right)\tau_z+\alpha p\sigma_y\tau_z+V_Z\sigma_x+\Delta\tau_x$$
Physical intuition
Spin–orbit-coupled proximitized nanowires can enter a topological superconducting regime.
Deep dive: physical mechanism
A combination of pairing, Zeeman splitting and spin–orbit coupling may support boundary zero modes.
What is measured experimentally?
Tunneling spectra and nonlocal correlations probe candidate modes.
Assumptions, noise and limitations
A zero-bias peak alone is not definitive evidence of a Majorana mode.
Research and simulation exercise
Diagonalize a discretized Bogoliubov–de Gennes chain.
Connect the ideas
Explore the chapter overview, learning path, and references.