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This is the first of a series of papers considering symmetry properties of quantum systems over 2D graphs or manifolds, with continuous spins, in the spirit of the Mermin--Wagner theorem. In the model considered here (quantum rotators) the…

Probability · Mathematics 2013-04-04 Mark Kelbert , Yurii Suhov

The emergence of hidden spin polarization in centrosymmetric nonmagnetic crystals due to local symmetry breaking has created new opportunities for potential spintronic applications and for enhancing our understanding of mechanisms to…

Materials Science · Physics 2025-10-31 Ameneh Deljouifar , Anita Yadav , Nataša Stojić , H. Rahimpour Soleimani , Nadia Binggeli

Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

Spin textures in k-space arising from spin-orbit coupling in non-centrosymmetric crystals find numerous applications in spintronics. We present a mechanism that leads to appearance of k-space spin texture due to spontaneous symmetry…

Strongly Correlated Electrons · Physics 2016-06-24 J. Kunes , D. Geffroy

Two dimensional moir\'e systems have recently emerged as a platform in which the interplay between topology and strong correlations of electrons play out in non-trivial ways. Among these systems, twisted double bilayer graphene (TDBG) is of…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 Debasmita Giri , Dibya Kanti Mukherjee , H. A. Fertig , Arijit Kundu

For two-dimensional Heisenberg antiferromagnet we present an analysis of topological coreless excitations having a stripe form. These textures are characterized by singularities at boundaries. A detailed classification of the stripe…

Statistical Mechanics · Physics 2009-11-10 E. V. Sinitsyn , I. G. Bostrem , A. S. Ovchinnikov

Magnetic skyrmions are textures behaving as quasiparticles which are topologically different from other states. Their discovery in systems with broken inversion symmetry sparked the search for materials containing such magnetic phase at…

The surface of a topological insulator hosts a very special form of a quasi-two dimensional metallic system when it is embedded in a topologically trivial medium like the vacuum. The electronic properties of this unusual 2D metal are…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. M. Vazifeh , M. Franz

A topologically ordered material is characterized by a rare quantum organization of electrons that evades the conventional spontaneously broken symmetry based classification of condensed matter. Exotic spin transport phenomena such as the…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 D. Hsieh , Y. Xia , L. Wray , D. Qian , A. Pal , J. H. Dil , F. Meier , J. Osterwalder , G. Bihlmayer , C. L. Kane , Y. S. Hor , R. J. Cava , M. Z. Hasan

Strong spin fluctuations are expected near the thermodynamic critical point of a continuous magnetic phase transition. Such critical spin fluctuations are highly correlated and in principle can occur at any time- and length-scales; they…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Chenhao Jin , Zui Tao , Kaifei Kang , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

In the early 2000s, low dimensional systems were predicted to have topologically nontrivial polar structures, such as vortices or skyrmions, depending on mechanical or electrical boundary conditions. A few variants of these structures have…

We theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared with TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Chen Fang , Yige Chen , Hae-Young Kee , Liang Fu

Structured light beams with engineered topological properties offer a powerful means to control spin angular momentum (SAM) and optical chirality, key quantities shaped by spin-orbit interaction (SOI) in light. Such effects are typically…

This work is an analytic theoretical study of a 2D semiconductor with a Fermi surface that is split by the Zeeman coupling of electron spins to an external magnetic field in the presence of electron-electron interactions. For the first…

Strongly Correlated Electrons · Physics 2024-03-07 Joel Hutchinson , Dmitry Miserev , Jelena Klinovaja , Daniel Loss

Quantum phases of matter such as superconducting, ferromagnetic and Wigner crystal states are often driven by the two-dimensionality (2D) of correlated systems. Meanwhile, spin-orbit coupling (SOC) is a fundamental element leading to…

Strongly Correlated Electrons · Physics 2024-03-06 Donghan Kim , Byungmin Sohn , Yeonjae Lee , Jeongkeun Song , Mi Kyung Kim , Minjae Kim , Tae Won Noh , Changyoung Kim

Higher-order topological phases give rise to new bulk and boundary physics, as well as new classes of topological phase transitions. While the realization of higher-order topological phases has been confirmed in many platforms by detecting…

The challenge of controlling magnetism using electric fields raises fundamental questions and addresses technological needs such as low-dissipation magnetic memory. The recently reported two-dimensional (2D) magnets provide a new system for…

Different topological phases of quantum systems has become areas of increased focus in recent decades. In particular, the question of how to realize and manipulate systems with non-trivial first Chern number is pursued both experimentally…

Quantum Physics · Physics 2022-11-23 A. Alnor , T. Bækkegaard , N. T. Zinner

Multi-functional manipulation of magnetic topological textures such as skyrmions and bimerons in energy-efficient ways is of great importance for spintronic applications, but still being a big challenge. Here, by first-principles…

Materials Science · Physics 2023-11-01 Zhong Shen , Shuai Dong , Xiaoyan Yao

Designing two-dimensional (2D) materials with magnetic and topological properties has continuously attracted intense interest in fundamental science and potential applications. Here, on the basis of first-principles calculations, we predict…

Materials Science · Physics 2020-09-08 Chang Liu , Botao Fu , Huabing Yin , Guangbiao Zhang , Chao Dong
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