Aspects of Topological Superconductivity in 2D Systems: Noncollinear Magnetism, Skyrmions, and Higher-order Topology

نویسندگان

چکیده

The review is aimed at highlighting the aspects of topological superconductivity in absence spin-orbit interaction two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose to give a brief introduction new concept superconductivity, i.e. higher-order topology including coupled structures. formation Majorana modes due textures discussed. role effective triplet pairings and odd fermion parity ground state wave function different emphasized. We describe peculiarities skyrmions, leading defects on which are localized. problem braiding systems, especially superconductors, considered.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Aspects of Frustrated Magnetism and Topological Order

In the first part we study O(N) spins on geometrically frustrated pyrochlore and planar pyrochlore lattices. For classical spins the strong frustration causes a lack of ordering for N 6= 2 at all temperatures. Nevertheless at low temperatures the system is strongly correlated. We find degrees of freedom that are relevant in this regime and find that the correlations are dipolar up to distance ∼...

متن کامل

Electronic topological transition and noncollinear magnetism in compressed hcp Co

Recent experiments showed that Co undergoes a phase transition from the ferromagnetic hcp phase to the nonmagnetic fcc one around 100 GPa. Since the transition is of first order, a certain region of coexistence of the two phases is present. By means of ab initio calculations, we found that the hcp phase itself undergoes a series of electronic topological transitions (ETTs), which affects both e...

متن کامل

Noncollinear Magnetism

Recently, a great deal of effort has been focused on developing the so called “fully unconstrained” approach to noncollinear magnetism. This approach allows the magnetization density within a material to be calculated as a continuous vector variable of position, as opposed to using the atomic moment approximation (AMA) where a fixed quantization direction is assumed for a volumefilling sphere s...

متن کامل

Topological Features in 2D Symmetric Higher-Order Tensor Fields

The topological structure of scalar, vector, and second-order tensor fields provides an important mathematical basis for data analysis and visualization. In this paper, we extend this framework towards higher-order tensors. First, we establish formal uniqueness properties for a geometrically constrained tensor decomposition. This allows us to define and visualize topological structures in symme...

متن کامل

Fractionalization, topological order, and cuprate superconductivity

This paper is concerned with the idea that the electron is fractionalized in the cuprate high-Tc materials. We show how the notion of topological order may be used to develop a precise theoretical characterization of a fractionalized phase in spatial dimension higher than 1. Apart from the fractional particles into which the electron breaks apart, there are nontrivial gapped topological excitat...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Superconductivity and Novel Magnetism

سال: 2021

ISSN: ['1557-1947', '1557-1939']

DOI: https://doi.org/10.1007/s10948-021-06029-z