Helical liquid of snake states

TL;DR

This paper derives an exact solution for spin snake states in a nonhomogeneous magnetic field influenced by Rashba spin-orbit and Zeeman effects, revealing novel nonlocal entangled states and spin current behaviors.

Contribution

It introduces an exact analytical model for spin snake states considering combined Rashba and Zeeman interactions, highlighting new physical phenomena in helical liquids.

Findings

Spin snake states are nonlocal entangled particles in antisymmetric fields.

Adding a homogeneous magnetic field gaps spectral branches.

The study proposes experimental realization of these phenomena.

Abstract

We derive an exact solution to the problem of spin snake states induced in a nonhomogeneous magnetic field by a combined action of the Rashba spin-orbit and Zeeman fields. In an antisymmetric magnetic field the spin snake states are nonlocal composite particles, originating from spatially separated entangled spins. Adding an external homogeneous magnetic field breaks the spin-parity symmetry gapping out the spectral branches, which results in a regular beating pattern of the spin current. These new phenomena in a helical liquid of snake states are proposed for an experimental realization.