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We present a scheme to realize the chiral topological excitonic insulator in semiconductor heterostructures which can be experimentally fabricated with a coupled quantum well adjacent to twoferromagnetic insulating films. The different…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Ningning Hao , Ping Zhang , Jian Li , Zhigang Wang , Wei Zhang , Yupeng Wang

We proposed a group-theory method to calculate topological invariant in bi-isotropic photonic crystals invariant under crystallographic point group symmetries. Spin Chern number has been evaluated by the eigenvalues of rotation operators at…

Optics · Physics 2016-02-11 Xiao-Dong Chen , Zi-Lan Deng , Wen-Jie Chen , Jia-Rong Wang , Jian-Wen Dong

Magic-angle twisted bilayer graphene (MA-TBG) exhibits intriguing quantum phase transitions triggered by enhanced electron-electron interactions when its flat-bands are partially filled. However, the phases themselves and their connection…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Shuang Wu , Zhenyuan Zhang , K. Watanabe , T. Taniguchi , Eva Y. Andrei

Quantum anomalous Hall (QAH) insulators exhibit chiral edge channels characterized by vanishing longitudinal conductance and quantized Hall conductance of Ce2/h, wherein the Chern number C is an integer equal to the number of the parallel…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Peng Deng , Yulei Han , Peng Zhang , Su Kong Chong , Zhenhua Qiao , Kang L. Wang

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe

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

Topological band theory establishes a standardized framework for classifying different types of topological matters. Recent investigations have shown that hyperbolic lattices in non-Euclidean space can also be characterized by hyperbolic…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Weixuan Zhang , Fengxiao Di , Xingen Zheng , Houjun Sun , Xiangdong Zhang

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass…

Strongly Correlated Electrons · Physics 2016-08-18 Stephan Rachel

Here we study the instabilities of a quadratic band crossing system to Chern insulating states and uncorrelated disorder. We determined the phase diagram in the plane of topological mass versus disorder strength, characterizing the system…

Disordered Systems and Neural Networks · Physics 2025-02-19 Nicolau Sobrosa , Miguel Gonçalves , Eduardo V. Castro

In investigating the topological electronic structures of monolayer $\alpha$-phase group V elements, we uncover a new topological phase, which is invisible in the symmetry-based topological quantum chemistry (TQC) as well as symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Baokai Wang , Xiaoting Zhou , Yen-Chuan Lin , Hsin Lin , Arun Bansil

Recent discoveries of zero-field fractional Chern insulators in moir\'e materials have attracted intensive research interests. However, most current theoretical and experimental attempts focus on systems with low Chern number bands, in…

Strongly Correlated Electrons · Physics 2024-08-07 Chonghao Wang , Xiaoyang Shen , Ruiping Guo , Chong Wang , Wenhui Duan , Yong Xu

The unique properties of spin-polarized surface or edge states in topological insulators (TIs) make these quantum coherent systems interesting from the point of view of both fundamental physics and their implementation in low power…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Juan Pedro Cascales , Isidoro Martınez , Ferhat Katmis , Cui-Zu Chang , Ruben Guerrero , Jagadeesh S. Moodera , Farkhad G. Aliev

Two-dimensional magnetic insulators can be promising hosts for topological magnons. In this study, we show that ABC-stacked honeycomb lattice multilayers with alternating Dzyaloshinskii-Moriya interaction (DMI) reveal a rich topological…

Mesoscale and Nanoscale Physics · Physics 2021-08-19 Stephen Hofer , Trinanjan Datta , Sumanta Tewari , Dipanjan Mazumdar

We introduce novel higher-order topological phases of matter in chiral-symmetric systems (class AIII of the tenfold classification), most of which would be misidentified as trivial by current theories. These phases are protected by…

Strongly Correlated Electrons · Physics 2022-04-07 Wladimir A. Benalcazar , Alexander Cerjan

Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall…

Topological band insulators are classified using momentum-space topological invariants, such as Chern or winding numbers, when they feature translational symmetry. The lack of translation symmetry in disordered, quasicrystalline, or…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Lucien Jezequel , Jens H. Bardarson , Adolfo G. Grushin

The plateau-to-plateau transition in quantum Hall effect under high magnetic fields is a celebrated quantum phase transition between two topological states through either sweeping the magnetic field or tuning the carrier density. The recent…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Yi-Fan Zhao , Ruoxi Zhang , Ling-Jie Zhou , Ruobing Mei , Zi-Jie Yan , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

We investigate a model of Dirac fermions with Haldane type mass impurities which open a global topological gap even in the dilute limit. Surprisingly, we find that the chirality of this mass term, i.e., the sign of the Chern number, can be…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Avedis Neehus , Frank Pollmann , Johannes Knolle

Chirally stacked $N$-layer graphene is a semimetal with $\pm p^N$ band-touching at two nonequivalent corners in its Brillioun zone. We predict that an off-resonant circularly polarized light (CPL) drives chirally stacked $N$-layer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Si Li , Cheng-Cheng Liu , Yugui Yao

A Chern insulator (quantum anomalous Hall insulator) phase is demonstrated to exist in a typical semi-Dirac system, the TiO2/VO2 heterostructure. By combining first-principles calculations with Wannier-based tight-binding model, we…

Materials Science · Physics 2015-11-04 Huaqing Huang , Zhirong Liu , Hongbin Zhang , Wenhui Duan , David Vanderbilt
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