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We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

We report quantum interference effects in the electrical conductance of chemical vapor deposited graphene nanoconstrictions fabricated using feedback controlled electroburning. The observed multimode Fabry-Perot interferences can be…

We study equilibrium crystal shapes of a topological insulator (TI), a topological crystalline insulator (TCI) protected by mirror symmetry, and a second-order topological insulator (SOTI) protected by inversion symmetry. By adding magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Yutaro Tanaka , Shuichi Murakami

Higher-order topological insulators (HOTIs) represent a novel class of topological materials, characterised by the emergence of topological boundary modes at dimensions two or more lower than those of bulk materials. Recent experimental…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Yong-Bin Choi , Jinho Park , Woochan Jung , Sein Park , Mazhar N. Ali , Gil-Ho Lee

The existence of fractionally quantized topological corner states serves as a key indicator for two-dimensional second-order topological insulators (SOTIs), yet has not been experimentally observed in realistic materials. Here, based on…

Materials Science · Physics 2023-09-08 Fangyang Zhan , Zheng Qin , Dong-Hui Xu , Xiaoyuan Zhou , Da-Shuai Ma , Rui Wang

We investigate Fabry-Perot interference in an ultraclean carbon nanotube resonator. The conductance shows a clear superstructure superimposed onto conventional Fabry-Perot oscillations. A sliding average over the fast oscillations reveals a…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 A. Dirnaichner , M. del Valle , K. J. G. Götz , F. J. Schupp , N. Paradiso , M. Grifoni , Ch. Strunk , A. K. Hüttel

The surface of a higher order topological insulator (HOTI) comprises a two-dimensional topological insulator (TI) with broken inversion symmetry, whose mass is determined by the microscopic details of the surface such as surface potentials…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Raquel Queiroz , Ady Stern

Higher-order topological insulators (HOTI) are a novel topological phase beyond the framework of the conventional bulk-boundary correspondence. In these peculiar systems, the topologically nontrivial boundary modes are characterized by a…

I consider higher-order topological insulator (HOTI) created in chi(2) nonlinear medium and based on two-dimensional generalization of the Su-Schrieffer-Heeger waveguide array, where transition between trivial and topological phases is…

Optics · Physics 2025-03-03 Yaroslav V. Kartashov

We investigate the finite size effects of a three-dimensional second-order topological insulator with fourfold rotational symmetry and time-reversal symmetry. Starting from the effective Hamiltonian of the three-dimensional second-order…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Penglei Wang , Yong-Lian Zou , Juntao Song

The interplay between quantum interference, electron-electron interaction (EEI), and disorder is one of the central themes of condensed matter physics. Such interplay can cause high-order magnetoconductance (MC) corrections in…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Gang Shi , Fan Gao , Zhilin Li , Rencong Zhang , Igor Gornyi , Dmitri Gutman , Yongqing Li

We propose a universal practical approach to realize magnetic second-order topological insulator (SOTI) materials, based on properly breaking the time reversal symmetry in conventional (first-order) topological insulators. The approach…

Materials Science · Physics 2020-08-05 Cong Chen , Zhida Song , Jian-Zhou Zhao , Ziyu Chen , Zhi-Ming Yu , Xian-Lei Sheng , Shengyuan A. Yang

The current in response to a bias in certain two-dimensional electron gas (2DEG), can have a nonzero transverse component under a finite magnetic field applied in the plane where electrons are confined. This phenomenon known as planar Hall…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Abhiram Soori

Topological insulators (TIs) have attracted immense interest because they host helical surface states. Protected by time-reversal symmetry, they are robust to non-magnetic disorder. When superconductivity is induced in these helical states,…

Mesoscale and Nanoscale Physics · Physics 2014-11-06 A. D. K. Finck , C. Kurter , Y. S. Hor , D. J. Van Harlingen

We propose a realization of a quantum Hall effect (QHE) in a second-order topological insulator (SOTI) in three dimensions (3D), which is mediated by hinge states on a torus surface. It results from the nontrivial interplay of the material…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 Zhe Hou , Clara S. Weber , Dante M. Kennes , Daniel Loss , Herbert Schoeller , Jelena Klinovaja , Mikhail Pletyukhov

Second-order topological insulators (SOTI) exhibit protected gapless boundary states at their hinges or corners. In this paper, we propose a generic means to construct SOTIs in static and Floquet systems by coupling one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-02-14 Raditya Weda Bomantara , Longwen Zhou , Jiaxin Pan , Jiangbin Gong

We study the surface states and chiral hinge states of a 3D second-order topological insulator in the presence of an external magnetic gauge field. Surfaces pierced by flux host Landau levels, while surfaces parallel to the applied field…

Strongly Correlated Electrons · Physics 2021-09-03 B. A. Levitan , L. Goutte , T. Pereg-Barnea

We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preserving the protecting $\mathsf{C}_{2n}\mathcal T$ symmetry upon the…

Strongly Correlated Electrons · Physics 2020-02-20 Apoorv Tiwari , Ming-Hao Li , B. A. Bernevig , Titus Neupert , S. A. Parameswaran

We study positions of chiral hinge states in higher-order topological insulators (HOTIs) with inversion symmetry. First, we exhaust all possible configurations of the hinge states in the HOTIs in all type-I magnetic space groups with…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Yutaro Tanaka , Ryo Takahashi , Tiantian Zhang , Shuichi Murakami

Two-dimensional (2D) magnetic second-order topological insulators (SOTIs) exhibit distinct topological phases characterized by spin-polarized zero-dimensional (0D) corner states, which have garnered significant interest. However, 2D…

Materials Science · Physics 2025-02-24 Meijun Wang , Yong-An Zhong , Lei Jin , Ying Liu , Xuefang Dai , Guodong Liu , Xiaoming Zhang