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We propose a simple scheme for the realization of a topological quasienergy band structure with ultracold atoms in a periodically driven optical square lattice. It is based on a circular lattice shaking in the presence of a superlattice…

Quantum Gases · Physics 2016-08-10 Mantas Račiūnas , Giedrius Žlabys , André Eckardt , Egidijus Anisimovas

Compared with twisted bilayer graphene, twisted double bilayer graphene (TDBG) provides another important platform to realize the moir\'e flat bands. In this paper, we first calculate the valley Chern number phase diagram of TDBG in the…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Yi-Xiang Wang , Fuxiang Li , Zi-Yue Zhang

Ordered states of matter are typically categorized by their broken symmetries. With the ordering of spins in a ferromagnet or the freezing of a liquid into a solid, the loss of symmetry distinguishes the ordered state from the disordered…

Strongly Correlated Electrons · Physics 2017-10-17 R. Valdés Aguilar , A. V. Stier , W. Liu , L. S. Bilbro , D. K. George , N. Bansal , L. Wu , J. Cerne , A. G. Markelz , S. Oh , N. P. Armitage

The optical modes of photonic structures are the so-called TE and TM modes which bring intrinsic spin-orbit coupling and chirality to these systems. This, combined with the unique flexibility of design of the photonic potential, and the…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 D. Solnyshkov , G. Malpuech

We consider magic-angle twisted bilayer graphene (TBG) at filling $\nu=+3$, where experiments have observed a robust quantized anomalous Hall effect. This has been attributed to the formation of a valley- and spin-polarized Chern insulating…

Strongly Correlated Electrons · Physics 2021-09-27 Yves H. Kwan , Glenn Wagner , Nilotpal Chakraborty , Steven H. Simon , S. A. Parameswaran

Studies on two-dimensional electron systems in a strong magnetic field first revealed the quantum Hall (QH) effect, a topological state of matter featuring a finite Chern number (C) and chiral edge states. Haldane later theorized that Chern…

We derive the macroscopic charge and current densities of a Chern insulator initially occupying its electronic ground state as it responds to a finite-frequency electric field; we use a previously developed formalism based on microscopic…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Jason G. Kattan , Alistair H. Duff , J. E. Sipe

We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is…

Quantum Gases · Physics 2019-02-25 Feng Mei , Jia-Bin You , Dan-Wei Zhang , X. C. Yang , R. Fazio , Shi-Liang Zhu , L. C. Kwek

It is well known that a nontrivial Chern number results in quantized Hall conductance. What is less known is that, generically, the Hall response can be dramatically different from its quantized value in materials with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Fang Qin , Rui Chen , Ching Hua Lee

When time-reversal symmetry is weakly broken and interactions are neglected, the surface of a $Z_{2}$ topological insulator supports a half-quantized Hall conductivity $\sigma_{S} = e^{2}/(2h)$. A surface Hall conductivity in an insulator…

Strongly Correlated Electrons · Physics 2015-12-16 Karin Everschor-Sitte , Matthias Sitte , Allan H. MacDonald

In this paper, we study the magnetic orders of two dimensional correlated topological insulators including the correlated Chern insulator and the correlated Z2 topological insulator at finite temperature. For the 2D correlated Chern…

Strongly Correlated Electrons · Physics 2013-09-24 Ying-Xue Zhu , Jing He , Chun-Li Zang , Ying Liang , Su-Peng Kou

We present an ab initio relativistic k.p theory of the effect of magnetic exchange field on the band structure in the gap region of bulk crystals and thin films of three-dimensional layered topological insulators. For the field…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 I. A. Nechaev , E. E. Krasovskii

Graphene-based moire superlattices provide a versatile platform for exploring novel correlated and topological electronic states, driven by enhanced Coulomb interactions within flat bands. The intrinsic tunability of graphene s multiple…

Strongly Correlated Electrons · Physics 2024-12-16 Jian Zheng , Size Wu , Kai Liu , Bosai Lyu , Shuhan Liu , Yating Sha , Zhengxian Li , Kenji Watanabe , Takashi Taniguchi , Jinfeng Jia , Zhiwen Shi , Guorui Chen

Topological states of matter are particularly robust, since they exploit global features insensitive to local perturbations. In this work, we describe how to create a Chern insulator of phonons in the solid state. The proposed…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 V. Peano , C. Brendel , M. Schmidt , F. Marquardt

We used micromagnetic simulations to investigate the spatial distributions of the effective magnetic fields induced by spin chirality in crossed nanowires with three characteristic magnetic structures: a radiated-shape, an antivortex, and a…

Mesoscale and Nanoscale Physics · Physics 2017-04-03 Kenji Tanabe , Keisuke Yamada

We investigate topological band structures of a kagome system coupled to a circularly polarized cavity mode, using a model based on a muffin-tin potential and quantum light-matter interaction. We show that Chern insulating phases emerge in…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Hikaru Goto , Ryo Okugawa , Takami Tohyama

Ground state topologies in quantum materials have unveiled many unique topological phases with novel Hall responses. Recently, the orbital Hall effect in insulators has suggested the existence of orbital Chern insulators (OCIs) in which the…

Materials Science · Physics 2026-01-01 Yueh-Ting Yao , Chia-Hung Chu , Arun Bansil , Hsin Lin , Tay-Rong Chang

Recent advances in chiral cavities that can couple coherently to two-dimensional materials have opened a powerful route to reshape electronic topology without an external drive. Here we establish the bulk-boundary correspondence for…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Volker Karle , Oriana K. Diessel , Vasil Rokaj , Ceren B. Dağ

Topological insulators are candidates to open up a novel route in spin based electronics. Different to traditional ferromagnetic materials, where the carrier spin-polarization and magnetization are based on the exchange interaction, the…

We present the current-induced switching of the internal magnetization direction in a magnetic topological insulator/topological insulator heterostructure in the quantum anomalous Hall regime. The switching process is based on the bias…

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