Weak antilocalization in two-dimensional systems with large Rashba splitting

Abstract

We develop the theory of quantum transport and magnetoconductivity for two-dimensional electrons with an arbitrary large (even exceeding the Fermi energy), linear-in-momentum Rashba or Dresselhaus spin-orbit splitting. For short-range disorder potential, we derive the analytical expression for the quantum conductivity correction, which accounts for interference processes with an arbitrary number of scattering events and is valid beyond the diffusion approximation. We demonstrate that the zero-field conductivity correction is given by the sum of the universal logarithmic "diffusive" term and a "ballistic" term. The latter is temperature independent and encodes information about spectrum properties. This information can be extracted experimentally by measuring the conductivity correction at different temperatures and electron concentrations. We calculate the quantum correction in the whole range of classically weak magnetic fields and find that the magnetoconductivity is negative both in the diffusive and in the ballistic regimes, for an arbitrary relation between the Fermi energy and the spin-orbit splitting. We also demonstrate that the magnetoconductivity changes with the Fermi energy when the Fermi level is above the "Dirac point" and does not depend on the Fermi energy when it goes below this point.

12 pages, 5 figures and Online Supplemental Material (15 pages, 7 figures)

References in corpus (7)

• Strongly spin-orbit coupled two-dimensional electron gas emerging near the surface of polar semiconductors
• Unconventional dc transport in Rashba electron gases
• Hole transport and valence band dispersion law in a HgTe quantum well with normal energy spectrum
• Probing the Band Topology of Mercury Telluride through Weak Localization and Antilocalization
• Interference-induced magnetoresistance in HgTe quantum wells
• Non-diffusion theory of weak localization in graphene
• Quantum interference in HgTe structures

Cited by in corpus (4)

• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• Unconventional transport in low-density two-dimensional Rashba systems
• Spin-orbit related power-law dependence of the diffusive conductivity on the carrier density in disordered Rashba two-dimensional electron systems
• Weak localization in p-type heterostructures in the presence of parallel magnetic field