Ladder approximation to spin velocities in quantum wires

Abstract

The spin sector of charge-spin separated single mode quantum wires is studied, accounting for realistic microscopic electron-electron interactions. We utilize the ladder approximation (LA) to the interaction vertex and exploit thermodynamic relations to obtain spin velocities. Down to not too small carrier densities our results compare well with existing quantum Monte-Carlo (QMC) data. Analyzing second order diagrams we identify logarithmically divergent contributions as crucial which the LA includes but which are missed, for example, by the self-consistent Hartree-Fock approximation. Contrary to other approximations the LA yields a non-trivial spin conductance. Its considerably smaller computational effort compared to numerically exact methods, such as the QMC method, enables us to study overall dependences on interaction parameters. We identify the short distance part of the interaction to govern spin sector properties.

6 pages, 6 figures, to appear in Physical Review B

References in corpus (6)

• One-Dimensional Fermi liquids
• Spin transport in interacting quantum wires and carbon nanotubes
• Rashba precession in quantum wires with interaction
• Tomonaga-Luttinger parameters for quantum wires
• Spin and Charge Luttinger-Liquid Parameters of the One-Dimensional Electron Gas
• Boundary effects on one-particle spectra of Luttinger liquids

Cited by in corpus (5)

• Coupled Cluster Channels in the Homogeneous Electron Gas
• Theory of momentum resolved tunneling into a short quantum wire
• Transport in a spin incoherent Luttinger liquid
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• Dephasing in Rashba spin precession along mutlichannel quantum wires and nanotubes