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Establishing the fundamental relation between the homotopy invariants and the band topology of Hamiltonians has played a critical role in the recent development of topological phase research. In this work, we establish the homotopy…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Hyeongmuk Lim , Sunje Kim , Bohm-Jung Yang

The search for large band gap systems with dissipationless edge states is essential to developing materials that function under a wide range of temperatures. Two-dimensional (2D) topological insulators (TIs) have recently attracted…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Lauryn Wu , Kunming Gu , Qiliang Li

Topological insulators (TIs) are an important family of quantum materials that exhibit a Dirac point (DP) in the surface band structure but have a finite band gap in bulk. A large degree of spin-orbit interaction and low bandgap is a…

Materials Science · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

The topological invariants of band insulators are usually assumed to depend only on the connectivity between orbitals and not on their intra-cell position (orbital embedding), which is a separate piece of information in the tight-binding…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 J. -N. Fuchs , F. Piéchon

Boundary obstructed topological insulators are an unusual class of higher-order topological insulators with topological characteristics determined by the so-called Wannier bands. Boundary obstructed phases can harbor hinge/corner modes, but…

Disordered Systems and Neural Networks · Physics 2020-10-07 Jahan Claes , Taylor L. Hughes

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

We propose two mechanisms to realize the second order topological insulator (SOTI) state in spinless hexagonal lattices, viz., chemical modification and anti-Kekul\'e/Kekul\'e distortion of hexagonal lattice. Correspondingly, we construct…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Shifeng Qian , Cheng-Cheng Liu , Yugui Yao

It is quite intriguing to investigate the transition from a topological insulator (TI) phase to topological crystalline insulator (TCI) phase in a material as the latter has an advantage over the former in controlled device applications.…

Materials Science · Physics 2025-05-20 Ramesh Kumar , Mukhtiyar Singh

Topological defects, such as domain walls and vortices, have long fascinated physicists. A novel twist is added in quantum systems like the B-phase of superfluid helium He$_3$, where vortices are associated with low energy excitations in…

Mesoscale and Nanoscale Physics · Physics 2009-04-02 Ying Ran , Yi Zhang , Ashvin Vishwanath

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

We have experimentally realized novel space-time inversion (P-T) invariant Z2-type topological semimetal-bands, via an analogy between the momentum space and a controllable parameter space in superconducting quantum circuits. By measuring…

Quantum Physics · Physics 2017-11-03 Xinsheng Tan , Yuxin Zhao , Qiang Liu , Guangming Xue , Haifeng Yu , Zidan Wang , Yang Yu

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

The topological protected electronic states on the surface of a topological insulator can progressively change their Fermi cross-section from circular to a snowflake shape as the chemical potential is increased above the Dirac point because…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Zhou Li , J. P. Carbotte

It is desirable to realize topological phases in artificial structures by engineering electronic band structures. In this paper, we investigate $(PbTe)_m(SnTe)_{2n-m}$ superlattices along [001] direction and find a robust weak topological…

Materials Science · Physics 2014-02-25 Gang Yang , Junwei Liu , Liang Fu , Wenhui Duan , Chaoxing Liu

We have extended our new materials class search for the experimental realization of Z2 topological insulators from binary [Bi2Se3-class, Xia et.al., Nature Phys. 5, 398 (2009)] and the ternary [Half-Heusler class, Lin et.al.,…

Mesoscale and Nanoscale Physics · Physics 2010-04-08 H. Lin , L. A. Wray , Y. Xia , S. -Y. Xu , S. Jia , R. J. Cava , A. Bansil , M. Z. Hasan

We present our angle resolved photoelectron spectroscopy (ARPES) and density functional theory results on quaternary topological insulator (TI) BiSbTe1.25Se1.75 (BSTS) confirming the non-trivial topology of the surface state bands (SSBs) in…

Materials Science · Physics 2023-10-31 H. Lohani , P. Mishra , A. Banerjee , K. Majhi , R. Ganesan , U. Manju , D. Topwal , P. S. Anil Kumar , B. R. Sekhar

Although strong electronic correlations are known to be responsible for some highly unusual behaviors of solids such as, metal--insulator transitions, magnetism and even high--temperature superconductivity, their interplay with recently…

Strongly Correlated Electrons · Physics 2019-12-19 Vsevolod Ivanov , Xiangang Wan , Sergey Y. Savrasov

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

We study the effect of the Fermi surface anisotropy on the odd-frequency spin-triplet pairing component of the induced pair potential. We consider a superconductor/ ferromagnetic insulator (S/FI) hybrid structure formed on the 3D…

Superconductivity · Physics 2017-08-02 A. S. Vasenko , A. A. Golubov , V. M. Silkin , E. V. Chulkov

Topological phases, especially topological crystalline insulators (TCIs), have been intensively explored observed experimentally in three-dimensional (3D) materials. However, the two-dimensional (2D) films are explored much less than 3D…

Materials Science · Physics 2017-11-22 Yi-zhen Jia , Wei-xiao Ji , Chang-wen Zhang , Ping Li , Shu-feng Zhang , Pei-ji Wang , Sheng-shi Li , Shi-shen Yan
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