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Topological phases of matter are commonly understood as emerging either from crystalline symmetry and intrinsic spin-orbit coupling or from disorder-driven electronic renormalization. In realistic materials, however, structural defects…

Materials Science · Physics 2026-03-19 Emmanuel V. C. Lopes , Felipe Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio

Topological defects determine the collective properties of anisotropic materials. How their configurations are controlled is not well understood however, especially in 3D. In living matter moreover, 2D defects have been linked to biological…

Soft Condensed Matter · Physics 2025-05-20 Pamela C. Guruciaga , Takafumi Ichikawa , Steffen Plunder , Takashi Hiiragi , Anna Erzberger

Implementing topological insulators as elementary units in quantum technologies requires a comprehensive understanding of the dephasing mechanisms governing the surface carriers in these materials, which impose a practical limit to the…

We present first-principles calculations to predict several three dimensional (3D) topological insulators in quaternary chalcogenide compounds which are made of I$_2$-II-IV-VI$_4$ compositions and in ternary compositions of I$_3$-V-VI$_4$…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Y. J. Wang , H. Lin , Tanmoy Das , M. Z. Hasan , A. Bansil

Topological phase transitions in condensed matters accompany emerging singularities of the electronic wave function, often manifested by gap-closing points in the momentum space. In conventional topological insulators in three dimensions…

Strongly Correlated Electrons · Physics 2014-10-02 Bohm-Jung Yang , Eun-Gook Moon , Hiroki Isobe , Naoto Nagaosa

Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator's surface can lead to exotic Majorana modes, the main…

Strongly Correlated Electrons · Physics 2021-05-20 J. Herbrych , M. Środa , G. Alvarez , M. Mierzejewski , E. Dagotto

With its boundary tracing out a link or knot in 3D, the Seifert surface is a 2D surface of core importance to topological classification. We propose the first-ever experimentally realistic setup where Seifert surfaces emerge as the boundary…

Mesoscale and Nanoscale Physics · Physics 2019-10-31 Linhu Li , Ching Hua Lee , Jiangbin Gong

When a d-dimensional quantum system is subjected to a periodic drive, it may be treated as a (d+1)-dimensional system, where the extra dimension is a synthetic one. In this work, we take these ideas to the next level by showing that…

Strongly Correlated Electrons · Physics 2018-03-12 Yuval Baum , Gil Refael

Topological insulators are bulk insulators with exotic surface states, protected under time-reversal symmetry, that hold promise in observing many exciting condensed-matter phenomena. In this report, we show that by having a topological…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 S. Mathimalar , S. Sasmal , P. Rajasekhar , A. Bhardwaj , S. Chaudhary , B. Satpati , K. V. Raman

For many materials, a precise knowledge of their dispersion spectra is insufficient to predict their ordered phases and physical responses. Instead, these materials are classified by the geometrical and topological properties of their…

Materials Science · Physics 2021-06-16 Qiong Ma , Adolfo G. Grushin , Kenneth S. Burch

Multi-terminal superconducting Josephson junctions based on the proximity effect offer the bright opportunity to tailor non trivial quantum states in nanoscale weak-links. These structures can realize exotic topologies in multidimensions…

Mesoscale and Nanoscale Physics · Physics 2016-12-09 E. Strambini , S. D'Ambrosio , F. Vischi , F. S. Bergeret , Yu. V. Nazarov , F. Giazotto

Second order topological insulator can be engineered from two-dimensional materials with strong spin-orbit coupling and in-plane Zeeman field. In proximity to superconductor, topological superconducting phase could be induced in the…

Superconductivity · Physics 2023-01-11 Ma Luo

Coupled layer constructions are a valuable tool for capturing the universal properties of certain interacting quantum phases of matter in terms of the simpler data that characterizes the underlying layers. In the study of fracton phases,…

Strongly Correlated Electrons · Physics 2026-05-06 Pranay Gorantla , Abhinav Prem , Nathanan Tantivasadakarn , Dominic J. Williamson

Coupling the surface state of a topological insulator (TI) to an s-wave superconductor is predicted to produce the long-sought Majorana quasiparticle excitations. However, superconductivity has not been measured in surface states when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sungjae Cho , Brian Dellabetta , Alina Yang , John Schneeloch , Zhijun Xu , Tonica Valla , Genda Gu , Matthew J. Gilbert , Nadya Mason

Topological insulators(1-8) are a novel form of matter which features metallic surface states with quasirelativistic dispersion similar to graphene(9). Unlike graphene, the locking of spin and momentum and the protection by time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 M. R. Scholz , J. Sánchez-Barriga , D. Marchenko , A. Varykhalov , A. Volykhov , L. V. Yashina , O. Rader

The topological superfluid 3He-B provides many examples of the interplay of symmetry and topology. Here we consider the effect of magnetic field on topological properties of 3He-B. Magnetic field violates the time reversal symmetry. As a…

Other Condensed Matter · Physics 2015-05-14 G. E. Volovik

Many emergent phases of matter stem from the intertwined dynamics of quasiparticles. Here we show that a topological superconducting phase emerges as the result of interactions between electrons and magnons in a quantum wire and a helical…

Superconductivity · Physics 2024-05-20 Florinda Viñas Boström , Emil Viñas Boström

After briefly recalling the quantum entanglement-based view of topological phases of matter in order to outline the general context, we give an overview of different approaches to the classification problem of topological insulators and…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andreas W. W. Ludwig

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

Crystalline $\rm Bi_2Se_3$ is one of the most explored three-dimensional topological insulator, with a $0.3\;\rm eV$ energy gap making it promising for applications. Its amorphous counterpart could bring to light new possibilities for large…

Materials Science · Physics 2021-12-14 Bruno Focassio , Gabriel R. Schleder , F. Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio
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