- Symmetries and Topological order: realizations and signals in.
- PDF Effects of spin-orbit coupling on the BKT transition and the vortex.
- Intoduction to Topological Spin - Spin Orbit Coupling.
- New perspectives for Rashba spin–orbit coupling | Nature.
- Topological metallic phases in spin-orbit coupled bilayer systems.
- Observation of a three-dimensional topological dirac semimetal phase in.
- Tunable spin-orbit coupling and quantum phase transition in a trapped.
- Phys. Rev. B 102, 035157 (2020) - Magnetism and topological phases in.
- Physics - On-Demand Spin-Orbit Coupling.
- Spin-orbit interaction of light - SPIE Homepage.
- Enhancing the efficiency of the topological phase transitions in spin.
- Coatings | Free Full-Text | Bi Layer Properties in the Bi-FeNi.
- PDF Topological Phases in Perovskite Iridates with Strong Spin-Orbit Coupling.
- Synthetic spin-orbit coupling and topological polaritons in Janeys.

## Symmetries and Topological order: realizations and signals in.

These novel metallic phases can give rise to various non-trivial topological phases when di erent symmetries are broken, including a Weyl and nodal-line semimetal. Secondly, we provide a generic condition to identify a novel three-dimensional topological semi-metallic phase in materials with strong spin-orbit coupling. Topological phases in pseudospin-1 Fermi gases with two-dimensional spin-orbit coupling 2018-09-12 百度 Disorder-induced topological phase transitions in two-dimensional spin-orbit coupled superconductors. The underlying mechanism is spin-orbit coupling (SOC), a relativistic effect of the order of 1/c 2. SOC also produces topological phases of matter. SOC also produces topological phases of matter. In nonmagnetic noncentrosymmetric crystals SOC originates from the gradient of electrical potential V( r ) through the Thomas term.

## PDF Effects of spin-orbit coupling on the BKT transition and the vortex.

Zeeman ﬁelds can drive semiconductor quantum wires with strong spin-orbit coupling and in proximity to s-wave superconductors into a topological phase which supports end Majorana fermions and offers an attractive platform for realizing topological quantum information processing. Here, we investigate how potential disorder. Spin-orbit coupling refers to the interaction between the spin and motion degrees of freedom of an electron. A simple illustrative model is a 2D electron gas in the presence of a uniform electric field perpendicular to the plane. According to special relativity, the electric field is seen as a magnetic field in the moving electrons' frame of. 1 Topological insulators Spin-orbit coupling 2 Two-dimensional transition metal dichalcogenides Quantum spin Hall phase in 2D TMDs Edges and topological edge modes Structural phase boundaries Line defects and transport of electronic spin 3 Summary Artem Pulkin (Caltech, EPFL) Transport in 2D materials November 1, 2017 1 / 32.

## Intoduction to Topological Spin - Spin Orbit Coupling.

Received February 3, 2021; Accepted March 24, 2021; Published May 17, 2021. Complex oxides with 4 d and 5 d transition-metal ions recently emerged as a new paradigm in correlated electron physics, due to the interplay between spin-orbit coupling and electron interactions. For 4 d and 5 d ions, the spin-orbit coupling, ζ, can be as large as. (E) In the absence of spin-orbit coupling, there are two line nodes on the k x mirror plane and two line nodes on the k y mirror plane (red loops). In the presence of spin-orbit coupling, each line node reduces into six Weyl nodes (small black and white circles). Black and white show the opposite chiral charges of the Weyl nodes.

## New perspectives for Rashba spin–orbit coupling | Nature.

In this Letter, we propose to enhance significantly the topological phase transitions by c-cut uniaxial crystals. We first give a full-wave theory describing the SOIs of a light beam passing through a c-cut uniaxial crystal and experimentally observe the topological phase transition process of the transmitted beam when the angle between the beam transmission direction and the optical axis.

## Topological metallic phases in spin-orbit coupled bilayer systems.

On the other hand, while spin-orbit coupling is an intrinsically single-particle relativistic phenomenon, it has attracted much recent attention for being at the cornerstone of topological materials, opening fascinating possibilities for spintronics applications.... Spin-orbit, Many-body Physics, Magnetic Materials, Spintronics, topological. Color online a Representation of the topologi- As a result of this coupling to an external exchange cal current at the right red and left blue edges of a non- field along x-direction to the spin polarization of the centrosymmetric superconductor with pure Rashba spin-orbit topological edge modes, an energy gradient, i.e. a finite. Recently, searching large-bulk band gap topological insulator (TI) is under intensive study. Through k·P theory and first-principles calculations analysis on antimonene, we find that α-phase antimonene can be tuned to a 2D TI under an in-plane anisotropic strain and the magnitude of direct bulk band gap (SOC gap) depends on the strength of spin-orbit coupling (SOC) which is strain-dependent.

## Observation of a three-dimensional topological dirac semimetal phase in.

Without spin-orbital coupling (SOC), we find a triple degenerate point with a quadratic dispersion, demonstrated by an effective Hamiltonian. When SOC is included, the sign of SOC could determine the topological phases of materials: a negative SOC contributes a Dirac semimetal phase with a quadratic energy dispersion, whereas a positive SOC. One consequence of the spin group is the new antiunitary symmetries that protect SOC-free Z 2 topological phases with unprecedented surface-node structures. Our work not only manifests the physical reality of materials with weak SOC, but also sheds light on the understanding of all solids with and without SOC by a unified group theory.

## Tunable spin-orbit coupling and quantum phase transition in a trapped.

• Ultra-cold fermions in the presence of spin-orbit and Zeeman fields are special systems that allow for the study of exciting new phases of matter, such as topological superfluids, with a high degree of accuracy. • Topological quantum phase transitionsemerge as function of Zeeman fields and binding energy for fixed spin-orbit coupling. 5. The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect which is observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance R xy exhibits steps that take on the quantized values. A pedagogical introduction to the SO coupling for ultracold atoms and topological quantum phases is presented. We show that the so-called optical Raman lattice schemes, which combine the creation of the conventional optical lattice and Raman lattice with topological stability, can provide minimal methods with high experimental feasibility to.

## Phys. Rev. B 102, 035157 (2020) - Magnetism and topological phases in.

Recently a scheme has been proposed for generating the 2D Rashba-type spin-orbit coupling (SOC) for ultracold atomic bosons in a bilayer geometry [S.-W. Su et al, Phys. Rev. A 93, 053630 (2016. The competition between the optical lattice period and the spin-orbit coupling length—which can be made comparable in experiments—along with the spin hybridization induced by a transverse ﬁeld (i.e., Rabi coupling) and interparticle interactions create a rich variety of quantum phases including uniform, nonuniform, and. This book presents the observation and the control of spin-polarized electrons in Rashba thin films and topological insulators, including the first observations of a weak topological insulator (WTI) and a higher-order topological insulator (HOTI) in bismuth halides. It begins with a general review of electronic structures at the solid surface and mentions that an electron spin at a surface is.

## Physics - On-Demand Spin-Orbit Coupling.

Phase diagram representing the evolution of the quantum correction to the conductivity σ qi (0) at zero magnetic field for massless and massive Dirac fermions. The parameters a, b and λ are defined in Section 2.The extrinsic spin-orbit scattering strength is quantified by λ, while the ratio a/b represents the ratio of the spin-orbit energy to the quasiparticle mass, evaluated at the Fermi. Several classes of topological materials have been dimensions with spin-orbit coupling are relatively under-explored.... it is possible for non-symmorphic symmetries to protect 2D topological insulating phases can be classiﬁed into two Dirac or Weyl points in two-dimensions40, and we ﬁnd several primary types: quantum spin Hall. We explore the 32 crystallographic point groups and identify topological phases of matter with robust surface modes. For n ¼ 3;4, and 6 of the C nv groups, we find the first-known 3D topological insulators without spin-orbit coupling, and with surface modes that are protected only by point groups; i.e., the.

## Spin-orbit interaction of light - SPIE Homepage.

Bismuth (Bi) having a large atomic number is characterized by a strong spin-orbit coupling (SOC) and is a parent compound of many 3D topological insulators (TIs). The ultrathin Bi films are supposed to be 2D TIs possessing a nontrivial topology, which opens the possibility of developing new efficient technologies in the field of spintronics. Here we aimed at studying the dielectric.

## Enhancing the efficiency of the topological phase transitions in spin.

Spin-orbit coupling and topological phases for ultracold atoms. Cold atoms with laser-induced spin-orbit (SO) interactions provide promising platforms to explore novel quantum physics, in particular the exotic topological phases, beyond natural conditions of solids. The past several years have witnessed important progresses in both theory and. We study the interplay between spin-orbit coupling (SOC) and Coulomb repulsion in a Hubbard model on a decorated honeycomb lattice which leads to a plethora of phases. While a quantum spin Hall insulator is stable at weak Coulomb repulsion and moderate SOC, a semimetallic phase emerges at large SOC in a broad range of Coulomb repulsion. This semimetallic phase has topological properties such. In this paper, we investigate the topological phase transition driven by spin-orbit coupling on the Lieb lattice. Firstly, it is found that the inclusion of the RSOC will split the degenerate dispersing bands while the two degenerate flat bands keep unchanged, and makes spin Chern numbers of two degenerate flat bands to change from 0 to ±2.

## Coatings | Free Full-Text | Bi Layer Properties in the Bi-FeNi.

Phase. Beyond a critical point cc eff, the spin population imbalance increases dramatically and reaches the spin polarized phase Æs zæ 5 1(Æs xæ 50) within a small range of c eff. The spin balanced and spin polarized phases at small and large c eff can be understood from the single particle Hamiltonian H s, where the Raman coupling V 0s x/2. With synthetic spin-orbit coupling and show that the T = 0 phase diagram can host both the uniform superﬂuid state with zero center-of-mass momentum Cooper pairs, the uniform topological superﬂuid with Majorana fermions edge states, and a FFLO state with nonzero center-of-mass momentum Cooper pairs. Most importantly, we ﬁnd that the uniform.

## PDF Topological Phases in Perovskite Iridates with Strong Spin-Orbit Coupling.

Topological Systems and Spin-Orbit Coupling. Phase transitions in condensed matter physics generally have been identified with an order parameter that spontaneously breaks the symmetry of the system and develops long range order, such as for the magnetization that develops in a ferromagnet below the Curie temperature or the staggered. In the second part (Sects. 4 and 5), we study the multiple SC phases in the magnetic field on the basis of the Ginzburg-Landau (GL) theory and quasi-classical theory derived from the three-orbital Hubbard model. When the spin-orbit coupling is small but finite, multiple SC phases appear in the magnetic-field-temperature ( H - T) phase. Victor Galitski, University of Maryland September 28, 2010. The recent discovery of topological phases of matter in solid-state systems has captured the imagination of physicists around the world with tantalizing properties such as protected boundary modes, exotic electromagnetic response, and possible non-Abelian excitations, which have potential applications ranging from semiconductor.

## Synthetic spin-orbit coupling and topological polaritons in Janeys.

Fixxxer125. I am studying how the spin orbit interaction in certain materials can lead to topological insulator effects and realise it has something to do with the effects of the SOC on the band structure of the material (Bi 2 Se 3 ), possibly due to the inversion of the valence and conduction band but I have become a bit stuck here and. Topological phases for the SO coupled systems: bosons and fermions 4. Experimental studies: equilibrium vs non-equilibrium topological physics... Realization of 2D spin-orbit coupling for cold atoms (PKU+USTC): Wu, Zhang, Sun, Xu, Wang, Deng, S. Chen, XJL & J.-W. Pan, Science, 354, 83-88 (2016).

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