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Rashba spin-orbit coupling emerges in materials lacking of structural inversion symmetry, such as heterostructures, quantum wells, surface alloys and polar materials, just to mention few examples. It yields a coupling between the spin and…

Mesoscale and Nanoscale Physics · Physics 2017-08-31 Valentina Brosco , Claudio Grimaldi , Emmanuele Cappelluti , Lara Benfatto

We investigate the bulk-boundary correspondence in two-dimensional type-I semi-Dirac materials with band inversion and Rashba spin-orbit coupling. Employing a dimensional reduction framework, we identify the Zak phase along the…

Mesoscale and Nanoscale Physics · Physics 2025-06-02 Marta García-Olmos , Yuriko Baba , Alexander López , Mario Amado , Rafael A. Molina

We study the electronic structure and correlated phases of twisted bilayers of platinum diselenide using large-scale ab initio simulations combined with the functional renormalization group. PtSe$_2$ is a group-X transition metal…

Strongly Correlated Electrons · Physics 2022-01-27 Lennart Klebl , Qiaoling Xu , Ammon Fischer , Lede Xian , Martin Claassen , Angel Rubio , Dante M. Kennes

Incorporating valley as a degree of freedom into quantum anomalous Hall systems offers a novel approach to manipulating valleytronics in electronic transport. Using the Kane-Mele monolayer as a concrete model, we comprehensively explore the…

Mesoscale and Nanoscale Physics · Physics 2024-09-24 Shiyao Pan , Zeyu Li , Yulei Han

A general strategy of alternated slide construction to craft topological metals is proposed, where there is a relative slide between the odd and even chains in the trivial spinless quantum wire array. Firstly, taking the three-leg ladder as…

Mesoscale and Nanoscale Physics · Physics 2023-05-23 Zheng-Wei Zuo , Linxi Lv , Dawei Kang

Transfer matrix methods and intersection theory are used to calculate the bands of edge states for a wide class of periodic two-dimensional tight-binding models including a sublattice and spin degree of freedom. This allows to define…

Mathematical Physics · Physics 2016-10-28 Julio Cesar Avila , Hermann Schulz-Baldes , Carlos Villegas-Blas

We study the spin edge states in the quantum spin-Hall (QSH) effect on a single-atomic layer graphene ribbon system with both intrinsic and Rashba spin-orbit couplings. The Harper equation for solving the energies of the spin edge states is…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Zhigang Wang , Ningning Hao , Ping Zhang

Inversion symmetry is a key symmetry in unconventional superconductors and even its local breaking can have profound implications. For inversion-symmetric systems, there is a competition on a microscopic level between the spin-orbit…

Superconductivity · Physics 2021-08-11 Anastasiia Skurativska , Manfred Sigrist , Mark H. Fischer

We propose an effective model for the study of the interplay between correlation and topology by decorating the Kane-Mele model with a set of localized interacting orbitals hybridized to just one sublattice, breaking the inversion symmetry.…

Strongly Correlated Electrons · Physics 2024-02-23 Jan Skolimowski , Wojciech Brzezicki , Carmine Autieri

We consider a Rashba spin-orbit coupled nanowire with anisotropic spin-singlet superconducting pairing and time-reversal-invariant symmetry. We explore the evolution of the topological superconducting phases of this system due to geometric…

Superconductivity · Physics 2020-03-11 Gianluca Francica , Mario Cuoco , Paola Gentile

We study the edge state properties of a two-dimensional kagome lattice using a tight-binding approach, focusing on the role of lattice termination, spin-orbit coupling, and magnetic order. In the pristine limit, we show that the existence…

Materials Science · Physics 2026-02-13 Sajid Sekh , Annica M. Black-Schaffer , Andrzej Ptok

Gated heterostructures containing bilayer graphene with staggered sublattice potentials are investigated by tight binding model with Rashba spin-orbital coupling and Hubbard interaction. The topological phase diagrams depend on the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Ma Luo , Zhibing Li

The existence of chiral edge states, corresponding to the nontrivial bulk-band topology characterized by a non-vanishing topological invariant, and the manipulation of topological transport via chiral edge states promise topological…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Muhammad Nadeem , Xiaolin Wang

We investigate the energy band structure and energy levels of graphene with staggered intrinsic spin-orbit coupling and in-plane Zeeman fields. Our study demonstrates that staggered intrinsic spin-orbit coupling induces bulk band crossover…

Mesoscale and Nanoscale Physics · Physics 2025-09-08 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

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

We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Laura Ortiz , Rafael A. Molina , Gloria Platero , Anders Mathias Lunde

The topological phases of two-dimensional time-reversal symmetric insulators are classified by a $\mathbb{Z}_{2}$ topological invariant. Usually, the invariant is introduced and calculated by exploiting the way time-reversal symmetry acts…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nicolas Baù , Antimo Marrazzo

We study the energy spectrum and energy levels of the extended Kane-Mele model with magnetic atoms on their zigzag edges. It is demonstrated that the edges of ferromagnetism or antiferromagnetism are enough to break the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

For a disordered two-dimensional model of a topological insulator (such as a Kane-Mele model with disordered potential) with small coupling of spin invariance breaking term (such as the Rashba coupling), it is proved that the spin edge…

Mathematical Physics · Physics 2016-10-27 Hermann Schulz-Baldes