Multiple crossovers in interacting quantum wires

TL;DR

This paper investigates electron tunneling in interacting quantum wires under magnetic fields, revealing voltage power-law behaviors with exponents influenced by spin polarization and multiple crossovers in finite systems.

Contribution

It introduces a detailed analysis of tunneling in spin-incoherent wires, highlighting the impact of magnetic fields and finite size effects on crossover phenomena.

Findings

Tunneling currents follow voltage power laws with field-dependent exponents.

Crossover length scales are exponential in the magnetic field.

Multiple crossovers can occur in finite-size wires.

Abstract

We study tunneling of electrons into and between interacting wires in the spin-incoherent regime subject to a magnetic field. The tunneling currents follow power laws of the applied voltage with exponents that depend on whether the electron spins at the relevant length scales are polarized or disordered. The crossover length (or energy) scale is exponential in the applied field. In a finite size wire multiple crossovers can occur.