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The Kubo formula for the conductance of classically chaotic systems is analyzed semiclassically, yielding simple expressions for the mean and the variance of the quantum interference terms. In contrast to earlier work, here times longer…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

The electronic transport properties of a point-contact system formed by a single Co atom adsorbed on Cu (100) and contacted by a copper tip is evaluated in the presence of intra-atomic Coulomb interactions and spin-orbit coupling. The…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 C. García Fernández , P. Abufager , N. Lorente

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric field. Focusing on a clean noninteracting two-band system…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Vladyslav Kozii , Alexander Avdoshkin , Shudan Zhong , Joel E. Moore

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 study the interplay of both Rashba and Dresselhaus spin-orbit couplings (SOCs) and a uniform perpendicular magnetic field $\textbf{B}$ on the transport of a spin-polarized electron along a curved quantum wire. Eigenenergies and…

Mesoscale and Nanoscale Physics · Physics 2014-10-27 Carlos Baldo , Cristine Villagonzalo

The spin Hall and longitudinal conductivity of a 2D heavy-hole gas with {\it k}-cubic Rashba and Dresselhaus spin-orbit interaction is studied in the ac frequency domain. Using Kubo linear-response theory and a recently proposed definition…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Arturo Wong , Francisco Mireles

Using four-terminal Landauer-B\"{u}ttiker formalism and Green's function technique, in this present paper, we calculate numerically spin Hall conductance (SHC) and longitudinal conductance of a finite size kagome lattice with Rashba…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

An analytical approach to calculation of the conductivity tensor, $\sigma$, of a two-dimensional (2D) electron system with Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field is proposed. The electron momentum relaxation is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. G. Novokshonov , A. G. Groshev

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

Non-magnetic materials without inversion symmetry typically exhibit strong Rashba spin-orbit coupling (SOC), enabling the well-known Rashba Edelstein effect where an external electrical current induces transverse spin polarisation. In this…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Akash Dey , Ashis K. Nandy , Kush Saha

Spin-Hall conductivity (SHC) of fully relativistic (4x4 matrix) Dirac electrons is studied based on the Kubo formula aiming at possible application to bismuth and bismuth-antimony alloys. It is found that there are two distinct…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 Yuki Fuseya , Masao Ogata , Hidetoshi Fukuyama

We study how the synergetic effect of spin-orbit coupling (SOC) and Zeeman splitting (ZS) affects the optical conductivity in the one-dimensional Hubbard model using the Kubo formula. We focus on two phenomena: (1) the electric dipole spin…

Strongly Correlated Electrons · Physics 2017-06-14 Adrien Bolens , Hosho Katsura , Masao Ogata , Seiji Miyashita

We evaluate the distribution of Hall conductances in magnetic subbands of two-dimensional electron gas with Rashba spin-orbit (SO) coupling placed in a periodic potential and perpendicular magnetic field. In this semiconductor structure the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Ya. Demikhovskii , A. A. Perov

Employing diagrammatic perturbation theory, we calculate the (charge) Coulomb drag resistivity $\rho_D$ and spin Coulomb drag resistivity $\rho_{\uparrow\downarrow}$ in the presence of Rashba spin-orbit coupling. Analytical expressions for…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wang-Kong Tse , S. Das Sarma

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

A model with both Rashba and Dresselhaus spin orbit (SO) couplings and Hubbard electron-electron interaction is studied on planar strips at quarter filling at zero temperature in the clean limit. In the absence of Hubbard repulsion and at…

Strongly Correlated Electrons · Physics 2018-02-06 Jose A. Riera

Using the Kubo formula, we show explicitly that a non-interacting electron system can not behave like a Hall-insulator, {\it ie.,} a DC resistivity matrix $\rho_{xx}\rightarrow\infty$ and $\rho_{xy}=$finite in the zero temperature limit, as…

Condensed Matter · Physics 2009-10-22 Lian Zheng , H. A. Fertig

We present an extension of the dynamical cluster approximation (DCA) that incorporates Rashba spin-orbit coupling (SOC) to investigate the interplay between disorder, spin-orbit interaction, and nonlocal spatial correlations in disordered…

Disordered Systems and Neural Networks · Physics 2025-12-09 Yongtai Li , Gour Jana , Chinedu E. Ekuma

In this work, we investigate the impact of Rashba spin-orbit coupling (RSOC) on the formation of charge-density wave (CDW) and superconducting (SC) phases in the Holstein model on a half-filled square lattice. Using unbiased…

Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the Kubo formula for the Hall conductivity remains valid beyond…

Mathematical Physics · Physics 2023-02-06 Giovanna Marcelli , Domenico Monaco