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Topological Mott insulator (TMI) with spontaneous time-reversal symmetry breaking and nonzero Chern number has been discovered in a real-space effective model for twisted bilayer graphene (TBG) at 3/4 filling in the strong coupling limit.…

Strongly Correlated Electrons · Physics 2022-05-26 Xiyue Lin , Bin-Bin Chen , Wei Li , Zi Yang Meng , Tao Shi

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu

The orbital degrees of freedom play a pivotal role in understanding fundamental phenomena in solid-state materials as well as exotic quantum states of matter including orbital superfluidity and topological semimetals. Despite tremendous…

Quantum geometry of electronic wavefunctions results in fascinating topological phenomena. A prominent example is the intrinsic anomalous Hall effect (AHE) in which a Hall voltage arises in the absence of an applied magnetic field. The AHE…

A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by that experiment, the chirality of the single topological edge…

Higher-order topological insulators (HOTIs) are unique materials hosting topologically protected states, whose dimensionality is at least by a factor of 2 lower than that of the bulk. Topological states in such insulators may be strongly…

One of the hallmarks of bulk topology is the existence of robust boundary localized states. For instance, a conventional $d$ dimensional topological system hosts $d{-}1$ dimensional surface modes, which are protected by non-spatial…

Mesoscale and Nanoscale Physics · Physics 2021-05-11 Ruchira V Bhat , Soumya Bera

Synchronized rotation of unit cells in a periodic structure provides a novel design perspective for manipulation of band topology. We then design a two-dimensional version of higher-order topological insulators (HOTI), by such rotation in a…

Optics · Physics 2022-05-05 R. Zhou , H. Lin , Y. Wu , Z. Li , Z. Yu , Y. Liu , Dong-Hui Xu

Based on first-principles calculations and symmetry analysis, we predict atomically thin ($1-N$ layers) 2H group-VIB TMDs $MX_2$ ($M$ = Mo, W; $X$ = S, Se, Te) are large-gap higher-order topological crystalline insulators protected by $C_3$…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Shifeng Qian , Gui-bin Liu , Cheng-Cheng Liu , Yugui Yao

The higher order topological insulator (HOTI) has enticed enormous research interests owing to its novelty in supporting gapless states along the hinges of the crystal. Despite several theoretical predictions, enough experimental…

The discovery of topological phases has recently led to a paradigm shift in condensed matter physics, and facilitated breakthroughs in engineered photonics and acoustic metamaterials. Topological insulators (TIs) enable the generation of…

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

Photonic topological materials with a broken time reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of…

Applied Physics · Physics 2021-10-11 Filipa R. Prudêncio , Mário G. Silveirinha

We propose that three-dimensional layered octagonal quasicrystals can host magnetic-field-tunable M\"{o}bius insulators and various higher-order topological insulators (HOTIs), enabled by the interplay of quasicrystalline symmetry and…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Yuxiao Chen , Zhiming Xu , Citian Wang , Huaqing Huang

We have studied the one-dimensional $p$-wave periodic Anderson model at finite temperature with the help of the numerically exact determinant quantum Monte Carlo simulation. It is found that the topological Haldane phase established for…

Strongly Correlated Electrons · Physics 2018-10-25 Yin Zhong , Yu Liu , Qin Wang , Ke Liu , Hai-Feng Song , Hong-Gang Luo

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

Two new recently proposed classes of topological phases, namely fractons and higher order topological insulators (HOTIs), share at least superficial similarities. The wide variety of proposals for these phases calls for a universal field…

Strongly Correlated Electrons · Physics 2021-06-23 Yizhi You , F. J. Burnell , Taylor L. Hughes

We consider a one-dimensional Bose-Hubbard model (BHM) with on-site double-well potentials and study the effect of nearest-neighbor repulsion and cavity-mediated long-range interactions by calculating the ground-state phase diagrams with…

Quantum Gases · Physics 2023-10-05 Johannes Sicks , Heiko Rieger

Topologically nontrivial Haldane phase is theoretically proposed to be realized in the 1/3-magnetization ($M$) plateau of spin-1/2 trimer systems. However, the spin excitation gap, typical characteristic of Haldane phase, is not yet…

Strongly Correlated Electrons · Physics 2024-07-08 Y. Y. Han , B. C. Yu , Z. Du , L. S. Ling , L. Zhang , W. Tong , C. Y. Xi , J. L. Zhang , T. Shang , Li Pi , Long Ma

In condensed matter physics many features can be understood in terms of their topological properties. Here we report evidence of a topological quantum transition driven by the charge-phonon coupling in the spinless Haldane model on a…

Strongly Correlated Electrons · Physics 2019-07-31 L. M. Cangemi , A. S. Mishchenko , N. Nagaosa , V. Cataudella , G. De Filippis