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Topological metamaterials unlock confined and robust elastic wave control in mechanical structures. Recent breakthroughs have precipitated the development of 3D topological mechanical metamaterials, which extend beyond the conventional 1D…

Applied Physics · Physics 2023-10-30 Patrick Dorin , Mustafa Khan , K. W. Wang

Topological phases have prevailed across diverse disciplines, spanning electronics, photonics, and acoustics. Hitherto, the understanding of these phases has centred on energy (frequency) bandstructures, showcasing topological boundary…

Topological phononics extends the foundational concepts of topological condensed matter physics to the realm of lattice vibrations and classical mechanical waves, unlocking robust, defect-immune states and phenomena beyond the reach of…

Prediction and discovery of new materials with desired properties are at the forefront of quantum science and technology research. A major bottleneck in this field is the computational resources and time complexity related to finding new…

Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically…

Quantum Gases · Physics 2012-11-22 N. R. Cooper , R. Moessner

We represent here the full description of all asymptotic regimes of conductivity behavior in the so-called "Geometric Strong Magnetic Field limit" in the 3D single crystal normal metals with topologically complicated Fermi surfaces. In…

Statistical Mechanics · Physics 2015-06-24 A. Ya. Maltsev , S. P. Novikov

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

Topological insulators are described by topological invariants that can be computed by integrals over momentum space, but also as traces over local, real-space topological markers. These markers are useful to detect topological insulating…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 Selma Franca , Adolfo G. Grushin

Topological phases of matter$\unicode{x2013}$comprising both insulators and semimetals$\unicode{x2013}$offer great potential for quantum applications, but identifying new candidates remains challenging due to expensive first-principles…

Materials Science · Physics 2026-04-08 Xinyu Xu , Arif Ullah , Ming Yang

We explore the gapless topological phases of a $p$-wave superconductor, probing its rich topologically ordered phases and underlying quantum phenomena. The topological order of the system is characterized by studying its entanglement…

Other Condensed Matter · Physics 2025-09-30 S. Srinidhi , Shashi C. L. Srivastava , Jayendra N. Bandyopadhyay

We proposed a framework for the topological classification of non-Hermitian systems. Different from previous $K$-theoretical approaches, our approach is a homotopy classification, which enables us to see more topological invariants.…

Mesoscale and Nanoscale Physics · Physics 2022-06-09 Zhi Li , Roger S. K. Mong

Topological insulators are characterized by insulating bulk and conducting surface, the latter is a necessity consequence of the nontrivial topology of the wavefunctions forming the valence band. This chapter gives a historical overview of…

Mesoscale and Nanoscale Physics · Physics 2023-07-27 Yoichi Ando

Topological photonic crystals, which offer topologically protected and back-scattering-immune transport channels, have recently gained significant attention for both scientific and practical reasons. Although most current studies focus on…

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk.…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Bitan Roy , Vladimir Juricic

Elastic wave manipulation is important in a wide variety of scales in applications including information processing in tiny elastic devices and noise control in big solid structures. The recent emergence of topological materials opens a new…

Materials Science · Physics 2022-10-05 Ying Wu , Jiuyang Lu , Xueqin Huang , Yating Yang , Li Luo , Linyun Yang , Feng Li , Weiyin Deng , Zhengyou Liu

We develop a non-perturbative theory to study large-scale quantum dynamics of Dirac particles in disordered scalar potentials (the so-called "topological metal"). For general disorder strength and carrier doping, we find that at large…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 Chushun Tian

Topological features embedded in ancient braiding and knotting arts endow significant impacts on our daily life and even cutting-edge science. Recently, fast growing efforts are invested to the braiding topology of complex Bloch bands in…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Qicheng Zhang , Yitong Li , Huanfa Sun , Xun Liu , Luekai Zhao , Xiling Feng , Xiying Fan , Chunyin Qiu

Although topological materials have recently seen tremendous development, their applications have remained elusive. Simultaneously, there exists considerable interest in pushing the limits of topological materials, including the exploration…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Sophia R. Sklan , Baowen Li

Tunneling conductance spectra of normal metal/insulator/superconductor (N/I/S) junctions are calculated to determine the potential of tunneling spectroscopy in investigations of topological superconductivity. Peculiar feature of topological…

Superconductivity · Physics 2016-03-08 Satoshi Kashiwaya , Hiromi. Kashiwaya , Kohta. Saitoh , Yasunori. Mawatari , Yukio. Tanaka

"Topological Quantum Chemistry (TQC) links the chemical and symmetry structure of a given material with its topological properties. This field tabulates the data of the 10398 real-space atomic limits of materials, and solves the…

Materials Science · Physics 2019-11-15 M. G. Vergniory , L. Elcoro , C. Felser , N. Regnault , B. A. Bernevig , Z. Wang