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We develop the symmetry classification of superconducting gap functions in electron bands that do not transform under the crystal point group operations like the pure spin-1/2 states. The Bloch state bases in twofold degenerate bands with…

Superconductivity · Physics 2019-08-14 K. V. Samokhin

The spin-degeneracy of Bloch bands in a crystal can be lifted when spin-orbit (SO) coupling is present and inversion symmetry is absent. In two-dimensional electron systems (2DES) spin-degeneracy is lifted by Rashba interaction terms -…

Strongly Correlated Electrons · Physics 2013-07-16 Guru Khalsa , Byounghak Lee , A. H. MacDonald

We develop a comprehensive theory for the effective dynamics of Bloch electrons based on symmetry. We begin with a scheme to systematically derive the irreducible representations (IRs) characterizing the Bloch functions. Starting from a…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 E. A. Fajardo , R. Winkler

We consider a two-dimensional electron gas with Rashba's spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic…

Mesoscale and Nanoscale Physics · Physics 2007-09-19 S. Smirnov , D. Bercioux , M. Grifoni

The Bloch spinors, energy spectrum and spin density in energy bands are studied for the two-dimensional electron gas (2DEG) with Rashba spin-orbit (SO) interaction subject to one-dimensional (1D) periodic electrostatic potential of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. Ya. Demikhovskii , D. V. Khomitsky

We use the method of invariants to derive one- and two-band effective Hamiltonians of a noncentrosymmetric two-dimensional electron gas, in the presence of magnetic field. A complete classification of the antisymmetric spin-orbit and…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 K. V. Samokhin

We analyze the spin-orbit terms in multi-subband quasi-two-dimensional electron systems, and how they descend from the bulk Hamiltonian of the conduction band. Measurements of spin-orbit terms in one subband alone are shown to give…

Mesoscale and Nanoscale Physics · Physics 2008-11-03 K. V. Kavokin , M. E. Portnoi

By describing the evolution of a quantum state with the trajectories of the Majorana stars on a Bloch sphere, Majorana's stellar representation provides an intuitive geometric perspective to comprehend a quantum system with high-dimensional…

Quantum Physics · Physics 2024-04-10 Yuguo Su , Fei Yao , Yanming Che , Li-Bin Fu , Xiaoguang Wang

Strong interest has arisen recently on low-dimensional systems with strong spin-orbit interaction due to their peculiar properties of interest for some spintronic applications. Here, the time evolution of the electron spin polarization of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Grimaldi

Spin-orbit coupling of electrons with the crystal lattice plays a crucial role in materials without inversion symmetry, lifting spin degeneracy of the Bloch states and endowing the resulting nondegenerate bands with complex spin textures…

Other Condensed Matter · Physics 2015-05-13 K. V. Samokhin

To realize band structures with non-trivial topological properties in an optical lattice is an exciting topic in current studies on ultra cold atoms. Here we point out that this lofty goal can be achieved by using a simple scheme of shaking…

Quantum Gases · Physics 2015-06-18 Shao-Liang Zhang , Qi Zhou

The aim of the paper is to study the electron spin direction dependence on momentum due to the presence of Rashba spin-orbit coupling in the pseudo-gap phase of Bi2212 bilayer. The non-trivial spin texture in k-space is found tuneable by…

Superconductivity · Physics 2022-05-25 Udai Prakash Tyagi , Partha Goswami

The theory of inter-spin-subband electric dipole spin resonance in transition metal dichalcogenide heterobilayers is proposed. Our symmetry analysis demonstrates that, in contrast to monolayers, the reduced symmetry of heterobilayers…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 K. K. Grigoryan , M. M. Glazov

We study spin dynamics in a two-dimensional electron gas with a pure gauge non-Abelian spin-orbit field, for which systems with balanced Rashba and Dresselhaus spin-orbit couplings, and the (110)-axis grown GaAs quantum wells are typical…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 I. V. Tokatly , E. Ya. Sherman

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

Rashba spin splitting in two-dimensional (2D) semiconductor systems is generally calculated in a ${\bf k} \cdot {\bf p}$ Luttinger-Kohn approach where the spin splitting due to asymmetry emerges naturally from the bulk band structure. In…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 L. W. van Heeringen , A. McCollam , G. A. de Wijs , A. Fasolino

Account of an intrinsic spin-orbit coupling in the valence bands of common semiconductors yields the scalar spin-orbit-rotation term in the effective-mass Hamiltonian of the conduction-band electron. This result is obtained within the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuri A. Serebrennikov

We study the edge states in a two dimensional electron gas with a transverse magnetic field and Rashba spin-orbit coupling. In the bulk, the interplay between the external field perpendicular to the gas plane and the spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Reynoso , Gonzalo Usaj , M. J. Sanchez , C. A. Balseiro

Contrary to the usual assumption, the electron Bloch states in crystals with spin-orbit coupling do not always transform under symmetry operations in the same way as the pure spin-1/2 states. This has profound consequences for the symmetry…

Superconductivity · Physics 2020-07-08 K. V. Samokhin

We consider a many-body system of pseudo-spin-1/2 bosons with spin-orbit interactions, which couple the momentum and the internal pseudo-spin degree of freedom created by spatially varying laser fields. The corresponding single- particle…

Other Condensed Matter · Physics 2008-08-31 Tudor Stanescu , Brandon Anderson , Victor Galitski
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