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We have constructed a general theory describing the topological quantum phase transitions in 3D systems with broken inversion symmetry. While the consideration of the system's codimension generally predicts the appearance of a stable…

Strongly Correlated Electrons · Physics 2015-06-05 Bohm-Jung Yang , Mohammad Saeed Bahramy , Ryotaro Arita , Hiroki Isobe , Eun-Gook Moon , Naoto Nagaosa

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

The realization of the Hofstadter model in a strongly anisotropic ladder geometry has now become possible in one-dimensional optical lattices with a synthetic dimension. In this work, we show how the Hofstadter Hamiltonian in such ladder…

Quantum Gases · Physics 2018-02-07 S. Barbarino , M. Dalmonte , R. Fazio , G. E. Santoro

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager

Topological insulators are characterized by a nontrivial band topology driven by the spin-orbit coupling. To fully explore the fundamental science and application of topological insulators, material realization is indispensable. Here we…

Materials Science · Physics 2011-12-30 Di Xiao , Wenguang Zhu , Ying Ran , Naoto Nagaosa , Satoshi Okamoto

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Ryo Okugawa , Shin Hayashi , Takeshi Nakanishi

The classification of materials into insulators and conductors has been shaken up by the discovery of topological insulators that conduct robustly at the edge but not in the bulk. In mechanics, designating a material as insulating or…

Soft Condensed Matter · Physics 2016-11-15 Anne S. Meeussen , Jayson Paulose , Vincenzo Vitelli

The engineering of synthetic materials characterised by more than one class of topological invariants is one of the current challenges of solid-state based and synthetic materials. Using a synthetic photonic lattice implemented in a…

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

Topological phases of matter give rise to exotic physics that can be leveraged for next generation quantum computation and spintronic devices. Thus, the search for topological phases and the quantum states that they exhibit have become the…

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology. One of the hallmarks…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Ching-Kai Chiu , Jeffrey C. Y. Teo , Andreas P. Schnyder , Shinsei Ryu

It is commonly assumed that topological phase transitions in topological superconductors are accompanied by a closing of the topological gap or a change of the symmetry of the system. We demonstrate that an unconventional topological phase…

Superconductivity · Physics 2021-06-16 Maciej M. Maśka , Nicholas Sedlmayr , Aksel Kobiałka , Tadeusz Domański

We present an example for the phase transition between a topological non-trivial solid phase and a trivial solid phase in the quantum dimer model(QDM) on triangular lattice. Such a transition is beyond the Landau's paradigm of phase…

Strongly Correlated Electrons · Physics 2018-07-10 Jianhua Yang , Tao Li

Topological magnetic textures are particle-like spin configurations stabilized by competing interactions. Their formation is commonly attributed to fluctuation-driven, first-order nucleation processes requiring activation over a topological…

Since topological insulators were theoretically predicted and experimentally observed in semiconductors with strong spin-orbit coupling, more and more attention has been drawn to topological materials which host exotic surface states. These…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Yige Chen , Yuan-Ming Lu , Hae-Young Kee

We review recent experimental progresses on layered topological materials, mainly focusing on transitional metal dichalcogenides with various lattice types including 1T, Td and 1T' structural phases. Their electronic quantum states are…

Mesoscale and Nanoscale Physics · Physics 2019-03-25 Junchao Ma , Ke Deng , Lu Zheng , Sanfeng Wu , Zheng Liu , Shuyun Zhou , Dong Sun

Topological semimetals have energy bands near the Fermi energy sticking together at isolated points/lines/planes in the momentum space, which are often accompanied by stable surface states and intriguing bulk topological responses. Although…

Materials Science · Physics 2017-03-01 Bohm-Jung Yang , Troels Arnfred Bojesen , Takahiro Morimoto , Akira Furusaki

We suggest a method for engineering a quantum walk, with cold atoms as walkers, which presents topologically non-trivial properties. We derive the phase diagram, and show that we are able to produce a boundary between topologically distinct…

The pursuit for "ferroelectric metal" which combines seemingly incompatible spontaneous electric polarization and metallicity, has been assiduously ongoing but remains elusive. Unlike traditional ferroelectrics with a wide band gap,…

Materials Science · Physics 2025-11-25 Liu Yang , Lei Li , Zhi-Ming Yu , Menghao Wu , Yugui Yao
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