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This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

Calculation of conductivity in the Hubbard model is a challenging task. Recent years have seen much progress in this respect and numerically exact solutions are now possible in certain regimes. In this paper we discuss the calculation of…

Strongly Correlated Electrons · Physics 2021-11-17 Jaksa Vucicevic , Rok Zitko

We diagonalize the 8-band Kane Hamiltonian with a proper inclusion of the interband matrix elements of the scalar and vector potentials. This leads, among other results, to a modification of the conventional expression for the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2024-09-30 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

We present a general formula for the tight-binding representation of momentum matrix elements needed for calculating the conductivity based on the Kubo-Greenwood formula using atomic orbitals, which are in general not orthogonal to other…

Materials Science · Physics 2018-09-13 Chi-Cheng Lee , Yung-Ting Lee , Masahiro Fukuda , Taisuke Ozaki

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

The anomalous spin transport coefficients of gapped Dirac electrons are studied with application to a quasi-two-dimensional organic conductor $\alpha$-(BETS)$_2$I$_3$ in mind. In the presence of a gap induced by spin-orbit interaction, we…

Mesoscale and Nanoscale Physics · Physics 2022-02-04 Masao Ogata , Soshun Ozaki , Hiroyasu Matsuura

Kubo's linear response formalism has been used to calculate the orbital Hall conductivity (OHC) for non-magnetic undoped and doped transition metal systems, focusing on the impact of different types of disorder and the role of vertex…

Materials Science · Physics 2024-08-16 Sergiy Mankovsky , Hubert Ebert

We have used the Kubo formula to calculate the temperature dependence of the electrical conductance of the double exchange Hamiltonian. We average the conductance over an statistical ensemble of clusters, which are obtained by performing…

Strongly Correlated Electrons · Physics 2009-10-31 M. J. Calderón , J. A. Vergés , L. Brey

A relation derived from the Kubo formula shows that optical conductivity measurements below the gap frequency in doped semiconductors can be used to probe directly the time-dependent quantum dynamics of charge carriers. This allows to…

Materials Science · Physics 2015-03-17 S. Ciuchi , S. Fratini , D. Mayou

We present a self-consistent theory to calculate the static and uniform spin susceptibility in superconductors under simultaneous Zeeman magnetic fields and Rashba-type spin-orbit coupling (SOC). Employing a single-band Bogoliubov-de Gennes…

Superconductivity · Physics 2026-02-25 Chen Pang , Yi Zhou

Quantum transport studies of spin-dependent phenomena in solids commonly employ the Kubo or Keldysh formulas for the nonequilibrium density operator in the steady-state linear-response regime. Its trace with operators of interest, such as…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Simao M. Joao , Marko D. Petrovic , J. M. Viana Parente Lopes , Aires Ferreira , Branislav K. Nikolic

We derive an effective Hamiltonian which describes the dynamics of electrons in the conduction band of transition metal dichalcogenides (TMDC) in the presence of perpendicular electric and magnetic fields. We discuss in detail both the…

Mesoscale and Nanoscale Physics · Physics 2014-03-18 Andor Kormányos , Viktor Zólyomi , Neil D. Drummond , Guido Burkard

The cooperative effect of Rashba spin-orbit coupling (SOC) and Coulomb attraction in stabilizing topological spin-triplet excitonic condensates (ECs) in two-dimensional electron-hole systems in external magnetic field is investigated by…

Strongly Correlated Electrons · Physics 2026-03-11 Quoc-Huy Ninh , Huu-Nha Nguyen , Van-Nham Phan

In this work, we investigate the possible dramatic effects of Rashba or Dresselhaus spin-orbit coupling (SOC) on fermionic Hubbard model in a 2d square lattice. In the strong coupling limit, it leads to the Rotated Anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2017-08-30 Fadi Sun , Jinwu Ye , Wu-Ming Liu

We present a theoretical study of nonlocal magnetoelectric effects in diffusive hybrid structures with an intrinsic linear-in-momentum spin-orbit coupling (SOC) which is assumed to be spatially inhomogeneous. Our analysis is based on the…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 Cristina Sanz-Fernández , Juan Borge , Ilya V. Tokatly , F. Sebastián Bergeret

We describe the treatment of Rashba spin-orbit coupling (SOC) in interacting many-fermion systems within the auxiliary-field quantum Monte Carlo framework, and present a set of illustrative results. These include numerically exact…

Strongly Correlated Electrons · Physics 2019-06-10 Peter Rosenberg , Hao Shi , Shiwei Zhang

A generalized Streda formula is derived for the spin transport in spin-orbit coupled systems. As compared with the original Streda formula for charge transport, there is an extra contribution of the spin Hall conductance whenever the spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Min-Fong Yang , Ming-Che Chang

We study the impact of the Rashba spin-orbit coupling (RSOC) on the stability of charge-density wave (CDW) in systems with large electron-phonon coupling (EPC). Here, the EPC is considered in the framework of the Holstein model at the…

Strongly Correlated Electrons · Physics 2023-11-21 Rodrigo A. Fontenele , Sebastião dos Anjos Sousa-Júnior , Tarik P. Cysne , Natanael C. Costa

We discuss the transport properties of a disordered two-dimensional electron gas with strong Rashba spin-orbit coupling. We show that in the high-density regime where the Fermi energy overcomes the energy associated with spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2016-04-28 Valentina Brosco , Lara Benfatto , Emmanuele Cappelluti , Claudio Grimaldi

We study a two-dimensional (2D) electron system with a linear spectrum in the presence of Rashba spin-orbit (RSO) coupling in the hydrodynamic regime. We derive a semiclassical Boltzmann equation with a collision integral due to Coulomb…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Edvin G. Idrisov , Eddwi H. Hasdeo , Byjesh N. Radhakrishnan , Thomas L. Schmidt