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A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

The requirement for large bulk resistivity in topological insulators has led to the design of complex ternary and quaternary phases with balanced donor and acceptor levels. A common feature of the optimized phases is that they lie close to…

Both Nb$_3$Pd$_x$Se$_7$ and Ta$_4$Pd$_3$Te$_{16}$ crystallize in a monoclinic point group while exhibiting superconducting transition temperatures as high as $T_c\sim 3.5$ and $\sim 4.7 $ K, respectively. Disorder was claimed to lead to the…

Superconductivity · Physics 2016-09-21 Q. R. Zhang , D. Rhodes , B. Zeng , M. D. Johannes , L. Balicas

It has been proposed that adding disorder to a topologically trivial mercury telluride/cadmium telluride (HgTe/CdTe) quantum well can induce a transition to a topologically nontrivial state. The resulting state was termed topological…

Mesoscale and Nanoscale Physics · Physics 2016-04-07 Christoph P. Orth , Tibor Sekera , Christoph Bruder , Thomas L. Schmidt

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

One of the most fascinating properties of topological phases of matter is their robustness to disorder and imperfections. Although several experimental techniques have been developed to probe the geometric properties of engineered…

The imposition of crystalline symmetries is known to lead to a rich variety of insulating and superconducting topological phases. These include higher-order topological phases and obstructed atomic limits with and without filling anomalies.…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Adam Yanis Chaou , Mateo Moreno-Gonzalez , Alexander Altland , Piet W. Brouwer

In this paper we study the phase diagram of a disordered, spin-orbit coupled superconductor with $s$-wave or $d+id$-wave pairing symmetry in symmetry class $D$. We analyze the topological phase transitions by applying three different…

Strongly Correlated Electrons · Physics 2016-03-22 Jan Borchmann , Aaron Farrell , T. Pereg-Barnea

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

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

Topological insulators are characterized by spin-momentum-locked massless surface states which are robust under various perturbations. Manipulating such surface states is a topic of vigorous research, as a possible route for the realization…

In recent years, higher-order topological phases have attracted great interest in various fields of physics. These phases have protected boundary states at lower-dimensional boundaries than the conventional first-order topological phases…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Yan-Bin Yang , Jiong-Hao Wang , Kai Li , Yong Xu

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We report the evolution of superconducting properties with disorder, in 3-dimensional homogeneously disordered epitaxial NbN thin films. The effective disorder in NbN is controlled from moderately clean limit down to Anderson…

The phase transition from a topological insulator to a trivial band insulator is studied by angle-resoled photoemission spectroscopy on Bi$_{2-x}$In$_{x}$Se$_{3}$ single crystals. We first report the complete evolution of the bulk band…

HgTe is a versatile topological material and has enabled the realization of a variety of topological states, including two- and three-dimensional (3D) topological insulators and topological semimetals. Nevertheless, a quantitative…

It has recently been shown that the electronic states in bulk gapless HgCdTe offer another realization of pseudo-relativistic three-dimensional particles in a condensed matter system. These single valley relativistic states, referred to as…

Controlling materials to create and tune topological phases of matter could potentially be used to explore new phases of topological quantum matter and to create novel devices where the carriers are topologically protected. It has been…

Abstract: Using ab initio calculations supported by experimental transport measurements, we present the first credible candidate for the realization of a disorder-induced Topological Anderson Insulator in a real material system. High energy…

Materials Science · Physics 2021-06-29 Binayak Mukherjee , Eleonora Isotta , Narges Ataollahi , Paolo Scardi