2021/12/07 by Michael Kammermeier, Takahito Saito, Daisuke Iizasa +3
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Coupling (piping) #Electron #Electronic and Structural Properties of Oxides #Landau quantization #Magnetic field #Magnetoresistance #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantization (signal processing) #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Weak localization #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.104.235430
published as Phys. Rev. B 104, 235430 (2021) · 18 pages, 7 figures
arxiv created 2021/12/07 · openalex publication_date 2021/12/23 · arxiv updated 2021/12/28 · openalex created_date 2021/12/31 · openalex updated_date 2026/08/05
We examine models for the quantum-interference correction to the magnetoconductivity in two-dimensional electron gases (2DEGs) with both Rashba and Dresselhaus spin-orbit coupling for their applicability to experimental data fitting. In particular, we compare the Landau-quantized Cooperon approach, which is mostly only numerically treatable, and the quasiclassical approximation that was recently employed to obtain an explicit solution for arbitrary Rashba and Dresselhaus spin-orbit couplings [Marinescu et al., Phys. Rev. Lett. 112, 156601 (2019)]. It is found that the quasiclassical approximation yields significantly different results even to the lowest order in the magnetic field and appears unsuitable for reliable parameter fitting. The discrepancy emerges when a sum over Landau levels is replaced by an integral over wave vectors. Substantial improvement is achieved by supplementing the quasiclassical model with the first two corrections given by the Euler-MacLaurin formula for approximating a sum by an integral. Corresponding modifications are, however, only feasible in special spin-orbit parameter configurations where the mixing of Landau bands is negligible and a closed-form solution that accounts for Landau quantization is also available. Such a scenario appears in a parameter regime where a persistent spin helix emerges and a transition between weak localization and weak antilocalization takes place. Combining recent findings, we derive a generalized closed-form expression for the magnetoconductivity correction applicable to generic 2DEGs that are grown along a crystal direction with at least two growth-direction Miller indices equal in modulus. The result is a function of spin lifetimes of the long-lived spin textures and valid close to the persistent-spin-helix regime. The accuracy of the derived formula is validated by comparing with results from numerical diagonalization of the multiband Cooperon as well as a recently established Monte Carlo-based real-space simulation in exemplary (001)-, (113)-, and (110)-2DEGs.