The effective spin concept to analyze coherent charge transport in mesoscopic systems

TL;DR

This paper introduces an effective spin framework to analyze phase coherent charge transport in mesoscopic systems, bridging concepts from spintronics and quantum computing to reformulate tunneling problems as spin rotations.

Contribution

It presents a novel analogy between charge transport and spin qubit operations, enabling new insights and methods for analyzing mesoscopic transport phenomena.

Findings

Recasting tunneling problems as spin rotations on the Bloch sphere

Establishing a mathematical analogy between charge transport and spin qubits

Demonstrating the approach with various tunneling structures

Abstract

An effective spin concept is introduced to examine the mathematical and physical analogy between phase coherent charge transport in mesoscopic systems and quantum operations on spin based qubits. When coupled with the Bloch sphere concept, this isomorphism allows formulation of transport problems in a language more familiar to researchers in the field of spintronics and quantum computing. We exemplify the synergy between charge tunneling and spin qubit unitary operations by recasting well-known problems of tunneling through a delta scatterer, a resonant tunneling structure, a superlattice structure, and arrays of elastic scatterers, in terms of specific unitary operations (rotations) of a spinor on the Bloch sphere.