Scattering of Spin-$\frac{1}{2}$ Particles from a $\cal PT$-symmetric Complex Potential

TL;DR

This paper investigates how spin-$\frac{1}{2}$ particles scatter from a $\cal PT$-symmetric complex potential, revealing coexistence of different phases and anisotropic resonances, with implications for spintronics and topological states.

Contribution

It demonstrates, for the first time, the coexistence of $\cal PT$-symmetric and broken phases in broadband spectra for spin-$\frac{1}{2}$ particles in such potentials.

Findings

Coexistence of $\cal PT$-symmetric and broken phases in broadband spectra.

Existence of anisotropic transmission resonances tunable by energy.

Potential applications in spintronics and topological surface states.

Abstract

In this letter, we study the scattering of spin-$\frac{1}{2}$ particles from a spin-independent parity time ($\cal PT$)-symmetric complex potential, and for the first time, theoretically demonstrate the coexistence of $\cal PT$-symmetric and $\cal PT$-broken phases for broadband energy spectra in this system. We also show the existence of anisotropic transmission resonances, accessible through the tuning of energy. Our results are promising for applications in spintronics, semiconductor-based devices, and a better understanding of the topological surface states.