Topological Confinement of Spins and Charges: Spinons as pi-junctions

TL;DR

This paper explores topologically nontrivial states in quasi-1D materials, focusing on spinons acting as pi-junctions, with implications for quantum computing due to their unique topological and confinement properties.

Contribution

It introduces the concept of spinons as pi-junctions in quasi-1D superconductors, highlighting their topological nature and potential for quantum computing applications.

Findings

Spinons can function as pi-junctions in quasi-1D superconductors.

Topological solitons exhibit semi-integer winding numbers.

Spin-charge confinement leads to localized excitations with quantum computing relevance.

Abstract

Topologically nontrivial states, the solitons, emerge as elementary excitations in 1D electronic systems. In a quasi 1D material the topological requirements originate the spin- or charge- roton like excitations with charge- or spin- kinks localized in the core. They result from the spin-charge recombination due to confinement and the combined symmetry. The rotons possess semi-integer winding numbers which may be relevant to configurations discussed in connection to quantum computing schemes. Practically important is the case of the spinon functioning as the single electronic pi- junction in a quasi 1D superconducting material.