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Full expressions for finite frequency spin and charge conductivity in Rashba and Luttinger type systems are given. Whereas in the Rashba Hamiltonian the spin conductivity has the same frequency dependence as the dielectric polarizability,…

Other Condensed Matter · Physics 2009-11-10 B. A. Bernevig

We address the controversy concerning the necessary conditions for the observation of Berry phases in disordered mesoscopic conductors. For this purpose we calculate the spin-dependent conductance of disordered two-dimensional structures in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Popp , Diego Frustaglia , Klaus Richter

We study how the Rashba spin-orbit interaction influences unconventional superconductivity in a two dimensional electron gas partially spin-polarized by a magnetic field. Somewhat surprisingly, we find that for all field orientations, only…

Superconductivity · Physics 2016-07-01 Ethan Lake , Caleb Webb , D. A. Pesin , O. A. Starykh

The $t$-model represents the Hubbard model in the limit $U \to \infty$ and is one of the basic models of strongly correlated electrons. On a one-dimensional chain, the model is integrable, and the charge dynamics corresponds to that of free…

Strongly Correlated Electrons · Physics 2026-03-23 Jakub Rękas , Marcin Mierzejewski , Zala Lenarčič , Peter Prelovšek

We study the coherent transport of heavy holes through a one-dimensional ring in the presence of spin-orbit coupling. Spin-orbit interaction of holes, cubic in the in-plane components of momentum, gives rise to an angular momentum dependent…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Dimitrije Stepanenko , Minchul Lee , Guido Burkard , Daniel Loss

We propose a novel model for including spin-orbit interactions in buckled two dimensional systems. Our results show that in such systems, intrinsic spin-orbit coupling leads to a formation of Dirac cones, similar to Rashba model. We explore…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Aleksandr S. Rodin , Paul Z. Hanakata , Alexandra Carvalho , Harold S. Park , David K. Campbell , Antonio H. Castro Neto

We derive the nonlinear $\sigma$-model to describe diffusive transport in normal metals and superconductors with intrinsic spin-orbit coupling (SOC). The SOC is described via an SU(2) gauge field, and we expand the model to the fourth order…

Superconductivity · Physics 2022-06-30 P. Virtanen , F. S. Bergeret , I. V. Tokatly

We study the spin polarization and its associated spin-Hall current due to EDSR in disordered two-dimensional electron systems. We show that the disorder induced damping of the resonant spin polarization can be strongly reduced by an…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Mathias Duckheim , Daniel Loss

Using standard quantum network method, we analytically investigate the effect of Rashba spin-orbit coupling (RSOC) and a magnetic field on the spin transport properties of a polygonal quantum ring. Using Landauer-Buttiker formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Han-Zhao Tang , Li-Xue Zhai , Man Shen , Jian-Jun Liu

Surface states in Tl/Si(111) and Bi/Si(111) show non-Rashba-type spin splitting. We study spin-transport properties in these surface states. First we construct tight-binding Hamiltonians for Tl/Si and Bi/Si surfaces, which respect…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Kokin Nakajin , Shuichi Murakami

We study spin chains submitted to disturbed kick trains described by classical dynamical processes. The spin chains are described by Heisenberg and Ising models. We consider decoherence, entanglement and relaxation processes induced by the…

Quantum Physics · Physics 2014-10-17 Lucile Aubourg , David Viennot

Spin-orbit coupling (SOC), which is inherent to a Dirac particle that moves under the influence of electromagnetic fields, manifests itself in a variety of physical systems including non-relativistic ones. For instance, it plays an…

Statistical Mechanics · Physics 2021-11-10 Tomohiro Hata , Eiji Nakano , Kei Iida , Hiroyuki Tajima , Junichi Takahashi

Spin-orbit interaction (SOI) in low-dimensional systems, namely Rashba systems and the edge states of topological materials, is extensively studied in this decade as a promising source to realize various fascinating spintronic phenomena,…

In a ferromagnetic metal layer, the coupled charge and spin diffusion equations are obtained in the presence of both Rashba spin-orbit interaction and magnetism. The mis-alignment between the magnetization and the non-equilibrium spin…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 Xuhui Wang , Aurelien Manchon

We present a simple and pedagogical derivation of the spin current as the linear response to an external electric field for both Rashba and Luttinger spin-orbital coupling Hamiltonians. Except for the adiabatic approximation, our derivation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jiangping Hu , Bogdan A. Bernevig , Congjun Wu

Spin-orbit torque in magnetic domain walls was investigated by solving the Pauli-Schr\"{o}dinger equation for the itinerant electrons. The Rashba interaction considered is derived from the violation of inversion symmetry at interfaces…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 D. Wang , Yan Zhou

We develop a semiclassical theory for spin-dependent quantum transport to describe weak (anti)localization in quantum dots with spin-orbit coupling. This allows us to distinguish different types of spin relaxation in systems with chaotic,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Zaitsev , Diego Frustaglia , Klaus Richter

The Rashba-Hubbard model on the square lattice is the paradigmatic case for studying the effect of spin-orbit coupling, which breaks spin and inversion symmetry, in a correlated electron system. We employ a truncated-unity variant of the…

In this work we study interacting electrons on square lattice in the presence of strong Rashba spin-orbit interaction. The spin-orbit term forces the time-reversal electron states to be paired in even Cooper channels. For concreteness, we…

Strongly Correlated Electrons · Physics 2019-03-27 Rasoul Ghadimi , Mehdi Kargarian , S. Akbar Jafari

We investigate the longitudinal spin relaxation arising due to spin-flip transitions accompanied by phonon emission in quantum dots where the strength of the Rashba spin-orbit coupling is a random function of the lateral (in-plane)…

Disordered Systems and Neural Networks · Physics 2009-11-11 E. Ya. Sherman , D. J. Lockwood