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Making use of index theorem and spin Chern Simons theory, we construct an effective topological field theory of strongly correlated topological insulators coupling to a nonabelian gauge field $ SU(N) $ with an interaction constant $ g $ in…

Strongly Correlated Electrons · Physics 2011-06-01 K. -S. Park , H. Han

The topological structure of the wavefunctions of particles in periodic potentials is characterized by the Berry curvature $\Omega_{kn}$ whose integral on the Brillouin zone is a topological invariant known as the Chern number. The…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Despite sharing a common lattice structure, monolayer M$_2$X$_2$ compounds realize quantum anomalous Hall phases with distinct Chern numbers, a striking phenomenon that has not been fully exploared. Combining first-principles calculations…

Materials Science · Physics 2025-09-09 Zujian Dai , Xudong Zhu , Lixin He

We propose a vortex Chern insulator, motivated by recent experimental demonstrations on programmable arrangements of cavity polariton vortices by [Alyatkin et al., ArXiv:2207.01850 (2022)] and [Wang et al., National Sci. Rev. 10, Nwac096…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Stella L. Harrison , Anton Nalitov , Pavlos G. Lagoudakis , Helgi Sigurðsson

Chern insulator is a building block of many topological quantum matters, ranging from quantum spin Hall insulators to fractional Chern insulators. Here, we discuss a new type of insulator, which consists of two half filled ordinary Chern…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Li-Jun Lang , Shao-Liang Zhang , Qi Zhou

We consider twisted bilayer graphene on a transition metal dichalcogenide substrate, where proximity-induced spin-orbit coupling significantly alters the eight flat bands which occur near the magic angle. The resulting band structure…

Strongly Correlated Electrons · Physics 2020-12-24 Tianle Wang , Nick Bultinck , Michael P. Zaletel

A powerful result of topological band theory is that nontrivial phases manifest obstructions to constructing localized Wannier functions. In Chern insulators, it is impossible to construct Wannier functions that respect translational…

Mesoscale and Nanoscale Physics · Physics 2022-08-11 Todd Van Mechelen , Robert-Jan Slager , Sathwik Bharadwaj , Zubin Jacob

Time-periodic perturbations can be used to engineer topological properties of matter by altering the Floquet band structure. This is demonstrated for a spin Hall insulator in the presence of monochromatic circularly polarized light. The…

Mesoscale and Nanoscale Physics · Physics 2012-02-02 Balázs Dóra , Jérôme Cayssol , Ferenc Simon , Roderich Moessner

We theoretically derive the sum rule for the negative first moment of the absorptive optical conductivity with excitonic effects and establish its connection to the quantum weight $K$ and Chern number $C$ of the ground state. Applying this…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Wen-Xuan Qiu , Fengcheng Wu

The kinetic magnetoelectric effect is an orbital analogue of the Edelstein effect and offers an additional degree of freedom to control magnetisation via the charge current. Here we theoretically propose a gigantic kinetic magnetoelectric…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Ken Osumi , Tiantian Zhang , Shuichi Murakami

In the real space formalism of orbital magnetization (OM) for a Chern insulator without an external electric field, it is correct to average the local OM either over the bulk region or over the whole sample. However for a layered Chern…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 Si-Si Wang , Yi-Ming Dai , Hui-Hui Wang , Hao-Can Chen , Biao Zhang , Yan-Yang Zhang

A variety of distinct anisotropic exchange interactions commonly exist in one magnetic material due to complex crystal, magnetic and orbital symmetries. Here we investigate the effects of multiple anisotropic exchange interactions on…

Strongly Correlated Electrons · Physics 2025-12-29 Jin-Yu Ni , Xia-Ming Zheng , Peng-Tao Wei , Da-Yong Liu , Liang-Jian Zou

We find an optical Raman lattice without spin-orbit coupling showing chiral topological orders for cold atoms. Two incident plane-wave lasers are applied to generate simultaneously a double-well square lattice and periodic Raman couplings,…

Strongly Correlated Electrons · Physics 2016-03-08 Xiong-Jun Liu , Zheng-Xin Liu , K. T. Law , W. Vincent Liu , T. K. Ng

Superconductivity has been observed in twisted MoTe2 within the anomalous Hall metal parent state. Key signatures-including a fully spin/valley polarized normal state, anomalous Hall resistivity hysteresis, superconducting phase adjacent to…

Superconductivity · Physics 2026-01-07 Cheng Xu , Nianlong Zou , Nikolai Peshcherenko , Ammar Jahin , Tingxin Li , Shi-Zeng Lin , Yang Zhang

A brief introduction to topological phases is provided, considering several two-band Hamiltonians in one- and two-dimensions. Relevant concepts of the topological insulator theory, such as: Berry phase, Chern number, and the quantum…

Strongly Correlated Electrons · Physics 2017-01-31 Leandro O. Nascimento

Chiral magnetism is a fascinating quantum phenomena that has been found in low-dimensional magnetic materials. It is not only interesting for understanding the concept of chirality, but also important for potential applications in…

Quantum Gases · Physics 2018-07-12 Bo Liu , Peng Zhang , Hong Gao , Fuli Li

Chiral magnetism, wherein there is a preferred sense of rotation of the magnetization, has become a key aspect for future spintronic applications. It determines the chiral nature of magnetic textures, such as skyrmions, domain walls or spin…

ABCB-stacked tetralayer graphene, with intrinsic spontaneous polarization, offers a unique platform to explore electron correlation effects, whose interplay with spin-orbit coupling may engender topological phases. Here, employing a…

Mesoscale and Nanoscale Physics · Physics 2026-01-07 Yulu Ren , Yang Shen , Chengyang Xu , Wanfei Shan , Weidong Luo

Electrical control of magnetism has been a major techonogical pursuit of the spintronics community, owing to its far-reaching implications for data storage and transmission. Here, we propose and analyze a new mechanism for electrical…

Strongly Correlated Electrons · Physics 2024-03-20 Taige Wang , Marc Vila , Michael P. Zaletel , Shubhayu Chatterjee

We develop a theory of the correlated magnetically ordered insulating state at the edge of a two-dimensional topological insulator. We demonstrate that the gapped spin-polarized state, induced by the application of the magnetic field $B$,…

Strongly Correlated Electrons · Physics 2015-03-13 Maxim Kharitonov
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