Rashba, Emmanuel2016-03-152004Rashba, Emmanuel I. 2004. “Sum Rules for Spin Hall Conductivity Cancellation.” Physical Review B 70 (20) (November 29). doi:10.1103/physrevb.70.201309.1098-0121http://nrs.harvard.edu/urn-3:HUL.InstRepos:25915645It has been shown recently that the universal dc spin conductivity of two-dimensional electrons with a Rashba spin-orbit interaction is canceled by vertex corrections in a weak scattering regime. We prove that the zero bulk spin conductivity is an intrinsic property of the free-electron Hamiltonian and scattering is merely a tool to reveal this property in terms of the diagrammatic technique. When Zeeman energy is neglected, the zero dc conductivity persists in a magnetic field. Spin conductivity increases resonantly at the cyclotron frequency and then decays towards the universal value.en-USJournal Article2016-01-29Emmanuel I. Rashba2016-03-1510.1103/physrevb.70.201309