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We consider the spin-Hall current in a disordered two-dimensional electron gas in the presence of Rashba spin-orbit interaction. We derive a generalized Kubo-Greenwood formula for the spin-Hall conductivity $\sigma$ and evaluate it in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Chalaev , Daniel Loss

Using the four-terminal Landauer-B\"{u}ttiker formula and Green's function approach, we calculate numerically the spin-Hall conductance in a two-dimensional junction system with the Rashba spin-orbit (SO) coupling and disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Sheng , D. N. Sheng , C. S. Ting

We calculate the spin Hall conductivity driven by Rashba spin-orbit interaction in $p$-type two-dimensional semiconductors in the presence of a perpendicular magnetic field. For a highly confined quantum well, the system is described by a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Zarea , Sergio E. Ulloa

We study electron transport through waveguides (WGs) in which the strengths of the Rashba ($\alpha$) and Dresselhaus ($\beta$) terms of the spin-orbit interaction (SOI) vary in space. Subband mixing, due to lateral confinement, is taken…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 P. M. Krstajic , E. Rezasoltani , P. Vasilopoulos

We report an unconventional behavior of electron transport in the limit of zero magnetic flux in a one-dimensional disordered ring, be it completely random or any correlated one, subjected to Rashba spin-orbit (SO) coupling. It exhibits…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Moumita Patra , Santanu K. Maiti

We present a semi-automated computer-assisted method to generate and calculate diagrams in the disorder averaging approach to disordered 2D conductors with intrinsic spin-orbit interaction (SOI). As an application, we calculate the effect…

Mesoscale and Nanoscale Physics · Physics 2009-08-18 Oleg Chalaev , Daniel Loss

We study theoretically the quantum transport properties of the Dirac fermions with spin-orbit interactions (SOIs) in graphene by using the method of Schwinger proper time together with decomposition over Landau level poles and Kubo formula.…

Mesoscale and Nanoscale Physics · Physics 2008-08-09 Kai-He Ding , Guanghui Zhou , Zhen-Gang Zhu

New exact and asymptotical results for the one particle Green's function of 2D electrons with combined Rashba - Dresselhaus spin - orbit interaction in the presence of in-plane uniform magnetic field are presented. A special case that…

Mesoscale and Nanoscale Physics · Physics 2019-02-01 I. V. Kozlov , Yu. A. Kolesnichenko

By using the momentum-space Lanczos recursive method which considers rigorously all multiple-scattering events, we unveil that the non-perturbative disorder effect has dramatic impact on the charge transport of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Weiwei Chen , Cong Xiao , Qinwei Shi , Qunxiang Li

We calculate the intrinsic spin Hall conductivity \sigma^{\mathrm{sH}} of a two-dimensional electron system within a generalized Rashba model, showing that it is, in general, finite and model-dependent. Considering arbitrary band…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. L. Krotkov , S. Das Sarma

We study the local equilibrium properties of two-dimensional electron gases at high magnetic fields in the presence of random smooth electrostatic disorder, Rashba spin-orbit coupling, and the Zeeman interaction. Using a systematic magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 Daniel Hernangomez-Perez , Serge Florens , Thierry Champel

We calculate the transport relaxation time $\tau _{\rm tr}$ and spin transport relaxation time $\tau _{s,{\rm tr}}$ for a two-dimensional electron gas with spatially fluctuating Rashba spin-orbit interaction. These relaxation times…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 S. Kudla , A. Dyrdal , V. K. Dugaev , E. Ya. Sherman , J. Barnas

In a two-dimensional electron gas as realized by a semiconductor quantum well, the presence of spin-orbit coupling of both the Rashba and Dresselhaus type leads to anisotropic dispersion relations and Fermi contours. We study the effect of…

Condensed Matter · Physics 2009-11-10 John Schliemann , Daniel Loss

We present a formalism for calculating the image potential for a two-dimensional electron gas (2DEG) with Rashba spin-orbit interaction (SOI) as well as for a 2D topological insulator (TI). The formalism is further generalized for including…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Oleksiy Roslyak , Danhong Huang , Antonios Balassis

The spin-orbit interaction in heavy hole gas formed at $p$-doped semiconductor heterojunctions and electron gas at {\mbox SrTiO}${}_3$ surfaces is cubic in momentum. Here we report magnetotransport properties of k-cubic Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2014-09-15 Alestin Mawrie , Tutul Biswas , Tarun Kanti Ghosh

A general expression for the spin Hall conductivity (SHC) in the s-wave superconducting state at finite temperatures is derived. Based on the expression, we study the SHC in a two-dimensional electron gas model in the presence of Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Kontani , J. Goryo , D. S. Hirashima

It is shown that the interplay of long-range disorder and in-plane magnetic field gives rise to an out-of-plane spin polarization and a finite spin Hall conductivity of the two-dimensional electron gas in the presence of Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Milletari' , R. Raimondi , P. Schwab

Spin electromagnetic fields driven by the Rashba spin-orbit interaction, or Rashba-induced spin Berry's phase, in ferromagnetic metals is theoretically studied based on the Keldysh Green's function method. Considering a limit of strong sd…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Noriyuki Nakabayashi , Gen Tatara

We explain how Rashba spin-orbit coupling (SOC) in a two-dimensional electron gas (2DEG), or in a conventional $s$-wave superconductor, can lead to a large magnetoresistance even with one ferromagnet. However, such enhanced…

Mesoscale and Nanoscale Physics · Physics 2023-08-15 Chenghao Shen , Ranran Cai , Alex Matos-Abiague , Wei Han , Jong E. Han , Igor Zutic

The paramount acumen for controlling spin transport properties in nonmagnetic materials is the usage of spin-orbit coupling (SOC). We propose a model to calculate the spin hall angle (SHA) for the elemental transition metal dichalcogenide…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Swastik Sahoo , Satadeep Bhattacharjee , Bhaskaran Muralidharan