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Using canonical transformations we diagonalize approximately the Hamiltonian of a gaussian wire with Rashba spin-orbit interaction. This proceedure allows us to obtain the energy dispersion relations and the wavefunctions with good…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. I. Erlingsson , J. C. Egues , D. Loss

Using quantum chemistry calculations we shed fresh light on the electronic structure and magnetic properties of RuCl3, a proposed realization of the honeycomb Kitaev spin model. It is found that the nearest-neighbor Kitaev exchange K is…

Strongly Correlated Electrons · Physics 2017-01-19 Ravi Yadav , Nikolay A. Bogdanov , Vamshi M. Katukuri , Satoshi Nishimoto , Jeroen van den Brink , Liviu Hozoi

One of the long standing problems in quantum chemistry had been the inability to exploit full spatial and spin symmetry of an electronic Hamiltonian belonging to a non-Abelian point group. Here we present a general technique which can…

Atomic and Molecular Clusters · Physics 2012-06-07 Shaon Sahoo , S. Ramasesha

We have numerically solved the Hamiltonian of an electron in a semiconductor double ring subjected to the magnetic flux and Rashba spin-orbit interaction. It is found that the Aharonov-Bohm energy spectrum reveals multi-zigzag periodic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Wen-Hsuan Kuan , Chi-Shung Tang , Cheng-Hung Chang

We theoretically study the effects of dynamical lattice distortion in a three-dimensional Rashba system based on a tight-binding model. Considering an $sp$-electron system on a tetragonal lattice with broken inversion symmetry, lattice…

Mesoscale and Nanoscale Physics · Physics 2023-10-23 Yuuki Ogawa , Takumi Funato , Hiroshi Kohno

We develop a six-band $\mathbf{k} \cdot \mathbf{p}$ model to describe the electronic structure and optical response of chiral multifold semimetals, such as RhSi. By means of invariants method we construct the effective Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2025-10-23 M. M. Glazov , E. L. Ivchenko

The inclusion of spin effects in the binary dynamics for black hole and neutron stars is crucial for the computation of gravitational wave observables. Worldline supersymmetric models have shown to be particularly efficient at this task up…

High Energy Physics - Theory · Physics 2025-05-19 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We show that spin-orbit interaction and elastic spin-Hall effect can exist in a classical mechanical system consisting of a two-dimensional honeycomb lattice of masses and springs. The band structure shows the presence of splitting at K…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Yao-Ting Wang , Shuang Zhang

We present a method to solve the problem of Rashba spin-orbit coupling in semiconductor quantum dots, within the context of quasi-exactly solvable spectral problems. We show that the problem possesses a hidden osp(2,2) superalgebra. We…

Quantum Physics · Physics 2015-06-26 Hayriye Tutunculer , Ramazan Koc , Eser Olgar

We consider the magnetic response of a two-dimensional electron gas (2DEG) with both Rashba and Dresselhaus spin-orbit coupling to a microwave excitation. We generalize the results of [A. Shnirman and I. Martin, Europhys. Lett. 78, 27001…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 Mikhail Pletyukhov , Alexander Shnirman

We study theoretically the spin-orbit interaction of low-energy electrons in semiconducting nanowires with a zinc-blende lattice. The effective Dresselhaus term is derived for various growth directions, including <11(-2)>-oriented…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Miguel J. Carballido , Christoph Kloeffel , Dominik M. Zumbühl , Daniel Loss

We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sebastian Miles , A. Mert Bozkurt , Dániel Varjas , Michael Wimmer

We investigate theoretically how the spin-orbit Dresselhaus and Rashba effects influence the electronic structure of quasi-one-dimensional semiconductor quantum dots, similar to those that can be formed inside semiconductor nanorods. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. L. Romano , S. E. Ulloa , P. I. Tamborenea

We introduce a matrix-product state based method to efficiently obtain dynamical response functions for two-dimensional microscopic Hamiltonians, which we apply to different phases of the Kitaev-Heisenberg model. We find significant broad…

Strongly Correlated Electrons · Physics 2017-10-18 Matthias Gohlke , Ruben Verresen , Roderich Moessner , Frank Pollmann

We present the analytical result of the expectation value of spin resulting from an injected spin polarized electron into a semi-infinitely extended 2DEG plane with [001] growth geometry via ideal quantum point contact. Both the Rashba and…

Other Condensed Matter · Physics 2007-05-23 Ming-Hao Liu , Ching-Ray Chang , Son-Hsien Chen

The relative strengths of Rashba and Dresselhaus terms describing the spin-orbit coupling in semiconductor quantum well (QW) structures are extracted from photocurrent measurements on n-type InAs QWs containing a two-dimensional electron…

Spin models like the Heisenberg Hamiltonian effectively describe the interactions of open-shell transition-metal ions on a lattice and can account for various properties of magnetic solids and molecules. Numerical methods are usually…

Strongly Correlated Electrons · Physics 2025-06-24 Shadan Ghassemi Tabrizi , Thomas D. Kühne

We present a general framework for deriving effective spin Hamiltonians of correlated magnetic systems based on a combination of relativistic ab initio density functional theory calculations (DFT), exact diagonalization of a generalized…

Strongly Correlated Electrons · Physics 2016-07-13 Kira Riedl , Daniel Guterding , Harald O. Jeschke , Michel J. P. Gingras , Roser Valenti

Spin-orbit interactions which couple spin of a particle with its momentum degrees of freedom lie at the center of spintronic applications. Of special interest in semiconductor physics are Rashba and Dresselhaus spin-orbit coupling (SOC).…

We present a method of computing elements of spin groups in the case of arbitrary dimension. This method generalizes Hestenes method for the case of dimension 4. We use the method of averaging in Clifford's geometric algebra previously…

Mathematical Physics · Physics 2020-03-03 D. S. Shirokov
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