Spin Orbit Coupling And Topological Phases

Topological phase transition in anisotropic square-octagon lattice with.
PDF Lecture III: Topological phases.
PDF 2D Materials with Strong Spin-orbit Coupling: Topological and.
PDF Spin-orbit coupling in quantum gases - UMD Physics.
Synthetic Spin-orbit Coupling In Cold Atoms - Google Books.
Exotic Quantum Phenomena and Topological Phases in Spin-Orbit-Coupled.
Ultra-Strong Spin-Orbit Coupling and Topological Moiré Engineering in.
Spin-group symmetry in magnetic materials with negligible spin- orbit.
Tunable spin-orbit coupling and quantum phase transition... - Europe PMC.
Probing Edge State Conductance in Ultra‐Thin Topological Insulator.
PDF Effects of spin-orbit coupling on the BKT transition and the vortex.
Phys. Rev. B 90, 165136 (2014) - Rashba spin-orbit coupling in the Kane.
Topological phases, topological flat bands, and topological.
Phys. Rev. A 106, 023302 (2022) - Superfluidity of a Raman spin-orbit.

Topological phase transition in anisotropic square-octagon lattice with.

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. • 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. Spin-orbit coupling, a fundamental mechanism underlying topological insulators, has been introduced to construct the latter's photonic analogs, or photonic topological insulators (PTIs). However,.

PDF Lecture III: Topological phases.

The "quantum spin Hall effect" Spin-orbit coupling appears in nearly every atom and solid. Consider the standard atomic expression For a given spin, this term leads to a momentum-dependent force on the electron, somewhat like a magnetic ﬁeld. The spin-dependence means that the time-reversal symmetry of SO coupling (even) is different from.

PDF 2D Materials with Strong Spin-orbit Coupling: Topological and.

The sensitivity of materials with strong spin-orbit coupling to local orbital orientation requires a reformation of the conventional visco-elastic response theories, and leaves open the possibility for undiscovered topological transport phenomena that are universal and quantized.... topological insulators, and other topological phases, were.

PDF Spin-orbit coupling in quantum gases - UMD Physics.

Synthetic Spin-orbit Coupling In Cold Atoms - Google Books.

1 Introduction. The photonic analogy of topological physics is a rapidly developing research area in which geometrical and topological concepts are exploited to control the behavior of light. [] By engineering "extrinsic" spin-orbit interactions in artificial photonic structures with broken time-reversal symmetry, a variety of fascinating topological phenomena and defects have been. An important property of the spin-orbit interaction is the fact that it can lift degeneracies between states that are protected by symmetry when spin- orbit coupling is absent. This is well-known for the hydrogen atom where the spin-orbit interaction splits the six $p$ states into two $j=1/2$ states and four $j=3/2$ states. In solid state.

Exotic Quantum Phenomena and Topological Phases in Spin-Orbit-Coupled.

Cold atoms with laser-induced spin-orbit (SO) interactions provide a platform to explore quantum physics beyond natural conditions of solids. Here we propose and experimentally realize two-dimensional (2D) SO coupling and topological bands for a rubidium-87 degenerate gas through an optical Raman lattice, without phase-locking or fine-tuning of optical potentials. Electric-field-dependent coupling between the electron spin and its momentum. Apart from these potential useful applications, spin- orbit-coupled systems turned out to display an amazing variety of fundamentally new and fascinating phenomena: spin-Hall effects27,28, topological insulators2, Majorana13 and Weyl fermions29, exotic spin.

Ultra-Strong Spin-Orbit Coupling and Topological Moiré Engineering in.

Non-Fermi-liquid and topological states with strong spin-orbit coupling. Moon EG(1), Xu C, Kim YB, Balents L.... which includes a topological insulator and Weyl semimetal phases. Many of these phases possess an extraordinarily large anomalous Hall effect, with the Hall conductivity scaling sublinearly with magnetization σ(xy)∼M0.51.. We ﬁnd that the spin-orbit coupling induced by the intrinsic radial electric ﬁeld is generically weak for sub-bands with their minimum near the Fermi energy. Furthermore, we show that the chemical potential windows consistent with the emergence of a topological phase are small and sparse and can only be reached by ﬁne tunning the diameter. Also, the effects of the Rashba spin-orbit coupling and staggered potential are discussed. We find that the Rashba spin-orbit coupling can drive the square-hexagon lattice into topological nontrivial phase at 1/5 and 2/5 filling fraction. The helical edge states are given numerically to confirm the topological property of square-hexagon lattice.

Spin-group symmetry in magnetic materials with negligible spin- orbit.

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 Coupling and Topolo gical Phases for Ultracold Atoms 11 w h i c hm a k eu pas p i n - 1 / 2 s ystem providing the realization of SO cou- pling with proper spatial-dep endent phases S 1. Apr 21, 2022 One consequence of the spin group is the new antiunitary symmetries that protect SOC-free Z 2 topological phases with unprecedented surface-node structures.

Tunable spin-orbit coupling and quantum phase transition... - Europe PMC.

Spin-orbit (SO) coupling, the interaction between spin and orbital (e.g., momentum) degrees of freedom of a particle, plays an important role in many topological phases of matter. In ultracold atomic gases, synthetic SO coupling has been realized by coupling atomic hyperﬁne ground states (denoted.

Probing Edge State Conductance in Ultra‐Thin Topological Insulator.

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

We predict that twisted bilayers of 1T-ZrS$_2$ realize a novel and tunable platform to engineer two-dimensional topological quantum phases dominated by strong spin-orbit interactions. At small twist angles, ZrS$_2$ heterostructures give rise to an emergent and twist-controlled moiré Kagomé lattice, combining geometric frustration and strong spin-orbit coupling to give rise to a moiré.

Phys. Rev. B 90, 165136 (2014) - Rashba spin-orbit coupling in the Kane.

FIG. 16: Sketch for band structure and realization of a 2D SO coupled Dirac metal [166]. (a) Schematic diagram of the band structure, with the inversion symmetry broken (process I) and gap opening at Dirac points (II) for a 2D SO coupled Dirac semimetal. (b) Proposed experimental setting for realization. The standing wave lights formed by E1x,1z generate a blue-detuned square lattice. The. Spin-orbit Coupling and Topolo gical Phases for Ultracold Atoms 11 w h i c hm a k eu pas p i n - 1 / 2 s ystem providing the realization of SO cou- pling with proper spatial-dep endent phases S 1. 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.

Topological phases, topological flat bands, and topological.

We investigate the superfluidity of a three-dimensional weakly interacting Bose gas with a one-dimensional Raman-type spin-orbit coupling at both zero and finite temperatures. Using the imaginary-time Green's function within the Bogoliubov approximation, we explicitly derive analytic expressions of the current-current response functions in the plane-wave and zero-momentum phases, from which we. Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling Piet W. Brouwer, Mathias Duckheim, Alessandro Romito, and Felix von Oppen Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universitat Berlin, DE 14195 Berlin, Germany¨ (Received 12 October 2011; published 31 October 2011). Table 1 Emergent quantum phases in correlated spin-orbit coupled materialsa Phase Symmetry Correlation Properties Proposed materials Topological insulator TRS W-I Bulk gap, TME, protected surface states Many Axion insulator P I Magnetic insulator, TME, no protected surface states R2Ir2O7, A2Os2O7 Weyl semimetal TRS or P (not both) W-I Dirac.

Phys. Rev. A 106, 023302 (2022) - Superfluidity of a Raman spin-orbit.

The spin-orbit coupling is found to change the hopping terms in the unit cell and therefore change the winding vectors. • The Zeeman field can only shift the winding vectors along the x-axis. • The existence of the zero-mode of the H + H can used to judge the topological non-trivial phases. 1. Introduction.. Enter the email address you signed up with and we'll email you a reset link.