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Topological insulators are found in materials that have elements with strong spin orbit interaction. However, electron Coulomb repulsion also potentially generates the topological insulators as well as Chern insulators by the mechanism of…

Strongly Correlated Electrons · Physics 2014-07-01 Masatoshi Imada , Youhei Yamaji , Moyuru Kurita

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Motohiko Ezawa

"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

Objective: To increase the impedance signal amplitude produced during neural activity using a novel approach of implementing a parallel resistor inductor capacitor (RLC) circuit across the current source used in electrical impedance…

Neurons and Cognition · Quantitative Biology 2019-12-06 James Hope , Zaid Aqrawe , Marshall Lim , Frederique Vanholsbeeck , Andrew McDaid

A theory for nontrivial topology of band structure in metallic helimagnets is developed. Two theorems on electron dispersion in helimagnets are proved. They reveal a Kramers-like degeneracy in helical magnetic field. The generalized Bloch…

Other Condensed Matter · Physics 2024-12-24 Yu. B. Kudasov

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

Topological band theory provides a conceptual framework to predict or even engineer robust metallic states at the boundaries of topologically distinct phases. The bulk-boundary correspondence requires that a topological electronic phase…

Electronic band structure for electrons bound on periodic minimal surfaces is differential-geometrically formulated and numerically calculated. We focus on minimal surfaces because they are not only mathematically elegant (with the surface…

Materials Science · Physics 2009-11-07 H. Aoki , M. Koshino , D. Takeda , H. Morise

The Euler number is a new topological number recently debuted in the topological physics. Unlike the Chern number defined for a band, it is defined for interbands. We propose a simple model realizing the topological Euler insulator for the…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Motohiko Ezawa

Recent discoveries of topological phases realized in electronic states in solids have revealed an important role of topology, which ubiquitously appears in various materials in nature. Many well-known materials have turned out to be…

Materials Science · Physics 2018-09-14 Motoaki Hirayama , Satoru Matsuishi , Hideo Hosono , Shuichi Murakami

The dynamics of many nanoscale biological and synthetic systems such as enzymes and molecular motors are activated by thermal noise, and driven out-of-equilibrium by local energy dissipation. Because the energies dissipated in these systems…

Statistical Mechanics · Physics 2025-05-27 Michalis Chatzittofi , Ramin Golestanian , Jaime Agudo-Canalejo

Topological superconductors (TSCs) are correlated quantum states with simultaneous off-diagonal long-range order and nontrivial topological invariants. They produce gapless or zero energy boundary excitations, including Majorana zero modes…

Superconductivity · Physics 2021-03-05 Yi Zhang , Kun Jiang , Fuchun Zhang , Jian Wang , Ziqiang Wang

Topology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 L. Peyruchat , R. H. Rodriguez , J. -L. Smirr , R. Leone , Ç. Ö. Girit

Topological integrated circuits are integrated-circuit realizations of topological systems. Here we show an experimental demonstration by taking the case of the Kitaev topological superconductor model. An integrated-circuit implementation…

Mesoscale and Nanoscale Physics · Physics 2023-10-04 Tetsuya Iizuka , Haochen Yuan , Yoshio Mita , Akio Higo , Shun Yasunaga , Motohiko Ezawa

Although topological band theory has been used to discover and classify a wide array of novel topological phases in insulating and semi-metal systems, it is not well-suited to identifying topological phenomena in metallic or gapless…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Alexander Cerjan , Terry A. Loring

We investigate a square-lattice architecture of superconducting transmon qubits with inter-qubit interactions mediated by inductive couplers. Therein, the inductive couling between the qubit and couplers is suggested to be designed into the…

Quantum Physics · Physics 2025-06-24 Yan-Jun Zhao , Yu-Qi Wang , Yang Xue , Xun-Wei Xu , Yan-Yang Zhang , Wu-Ming Liu , Yu-xi Liu

We show that topological superconductivity may emerge upon doping of transition metal dichalcogenide heterobilayers above an integer-filling magnetic state of the topmost valence moir\'e band. The effective attraction between charge…

Superconductivity · Physics 2024-01-18 Valentin Crépel , Daniele Guerci , Jennifer Cano , J. H. Pixley , Andrew Millis

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

Strongly Correlated Electrons · Physics 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

Elementary band representations are the fundamental building blocks of atomic limit band structures. They have the defining property that at partial filling they cannot be both gapped and trivial. Here, we give two examples -- one each in a…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Jennifer Cano , Barry Bradlyn , Zhijun Wang , L. Elcoro , M. G. Vergniory , C. Felser , M. I. Aroyo , B. Andrei Bernevig

Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 C. L. Kane , T. C. Lubensky
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