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Topological matter in 3D is characterized by the presence of a topological BF term in its long-distance effective action. We show that, in 3D, there is another marginal term that must be added to the action in order to fully determine the…

Strongly Correlated Electrons · Physics 2015-05-27 M. Cristina Diamantini , Pasquale Sodano , Carlo A. Trugenberger

We propose MnBi$_{2n}$Te$_{3n+1}$ as a magnetically tunable platform for realizing various symmetry-protected higher-order topology. Its canted antiferromagnetic phase can host exotic topological surface states with a M\"obius twist that…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Rui-Xing Zhang , Fengcheng Wu , S. Das Sarma

We demonstrate theoretically that a strong high-frequency circularly polarized electromagnetic field can turn a two-dimensional periodic array of interconnected quantum rings into a topological insulator. The elaborated approach is…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 V. K. Kozin , I. V. Iorsh , O. V. Kibis , I. A. Shelykh

The electronic structure at the interface between a topological band insulator and a Mott insulator is studied within layer dynamical mean field theory. To represent the bulk phases of these systems, we use the generalized…

Strongly Correlated Electrons · Physics 2015-06-22 H. Ishida , A. Liebsch

Topological insulators are new states of quantum matter with metallic edge/surface states. In this paper, we pointed out that there exists a new type of particle-hole symmetry-protected topological insulator - topological hierarchy…

Strongly Correlated Electrons · Physics 2015-09-23 Jing He , Chun-Li Zang , Ying Liang , Su-Peng Kou

Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported…

Mesoscale and Nanoscale Physics · Physics 2021-06-01 Bo Lv , Rui Chen , Rujiang Li , Chunying Guan , Bin Zhou , Guohua Dong , Chao Zhao , YiCheng Li , Ying Wang , Huibin Tao , Jinhui Shi , Dong-Hui Xu

The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films,…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Qi Yao , Yuchen Ji , Peng Chen , Qing-Lin He , Xufeng Kou

Magnetic topological insulators such as Cr-doped (Bi,Sb)2Te3 provide a platform for the realization of versatile time-reversal symmetry-breaking physics. By constructing heterostructures with N\'eel order in an antiferromagnetic CrSb and…

Inducing magnetic orders in a topological insulator (TI) to break its time reversal symmetry has been predicted to reveal many exotic topological quantum phenomena. The manipulation of magnetic orders in a TI layer can play a key role in…

In this review, We discussed the theoretical foundation and experimental discovery of different topological electronic states of material in condensed matter. At first, we briefly reviewed the conventional electronic states, which have been…

Materials Science · Physics 2020-11-30 Arnab Kumar Pariari

We report on a topological insulating state in a heavy-fermion system away from half-filling, which is hidden within a ferromagnetic metallic phase. In this phase, the cooperation of the RKKY interaction and the Kondo effect, together with…

Strongly Correlated Electrons · Physics 2013-04-16 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

Higher order topological insulators are a new class of topological insulators in dimensions $\rm d>1$. These higher-order topological insulators possess $\rm (d - 1)$-dimensional boundaries that, unlike those of conventional topological…

Mesoscale and Nanoscale Physics · Physics 2021-07-05 Arijit Saha , Arun M. Jayannavar

It is argued that a superconducting instability appears in the electronic states on the surface of a topological insulator due purely to electromagnetic interactions. The discussion of this instability is based on the analysis of the…

Superconductivity · Physics 2011-03-29 Alberto Cortijo

Time-reversal invariant three-dimensional topological insulators can be defined fundamentally by a topological field theory with a quantized axion angle theta of zero or pi. It was recently shown that fractional quantized values of theta…

Strongly Correlated Electrons · Physics 2012-12-24 Joseph Maciejko , Xiao-Liang Qi , Andreas Karch , Shou-Cheng Zhang

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

We investigate the competition between the spin-orbit interaction of itinerant electrons and their Kondo coupling with local moments densely distributed on the honeycomb lattice. We find that the model at half-filling displays a quantum…

Strongly Correlated Electrons · Physics 2013-08-09 Xiao-Yong Feng , Jianhui Dai , Chung-Hou Chung , Qimiao Si

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

Antiferromagnetic (AF) topological materials offer a fertile ground to explore a variety of quantum phenomena such as axion magnetoelectric dynamics and chiral Majorana fermions. To realize such intriguing states, it is essential to…

In many materials, ordered phases and their order parameters are easily characterized by standard experimental methods. "Hidden order" refers to a phase transition in which an ordered state emerges without such an easily detectable order…

We study the influence of the antiferromagnetic order on the surface states of topological insulators. We derive an effective Hamiltonian for these states, taking into account the spatial structure of the antiferromagnetic order. We obtain…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 R. S. Akzyanov , A. L. Rakhmanov