# Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems - Condensed Matter > Mesoscale and Nanoscale Physics

Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems - Condensed Matter > Mesoscale and Nanoscale Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We use linear response theory to study the transverse force generated by anexternal electric field and hence possible charge Hall effect in spin-orbitcoupled systems. In addition to the Lorentz force that is parallel to theelectric field, we find that the transverse force perpendicular to the appliedelectric field may not vanish in a system with an anisotropic energydispersion. Surprisingly, in contrast to the previous results, the transverseforce generated by the electric field does not depend on the spin current, butin general, it is related to the second derivative of energy dispersion only.Furthermore, we find that the transverse force does not vanish in theRashba-Dresselhaus system. Therefore, the non-vanishing transverse force actsas a driving force and results in charge imbalance at the edges of the sample.The estimated ratio of the Hall voltage to the longitudinal voltage is $\sim10^{-3}$. The disorder effect is also considered in the study of theRashba-Dresselhaus system. We find that the transverse force vanishes in thepresence of impurities in this system because the vertex correction and theanomalous velocity of the electron accidently cancel each other.

Author: ** Tsung-Wei Chen, Hsiu-Chuan Hsu, Guang-Yu Guo**

Source: https://arxiv.org/