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We systematically study gapless topological phases of (semi-)metals and nodal superconductors described by Bloch and Bogoliubov-de Gennes Hamiltonians. Using K-theory, a classification of topologically stable Fermi surfaces in (semi-)metals…

Superconductivity · Physics 2013-06-05 Shunji Matsuura , Po-Yao Chang , Andreas P. Schnyder , Shinsei Ryu

Topological magnons emerge as topologically protected spin wave states at the edges of magnets. Here, we theoretically explore how these surface states can be harnessed to amplify the spin Seebeck effect (SSE) in antiferromagnets (AFMs)…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Feodor Svetlanov Konomaev , Kjetil M. D. Hals

The interplay between strong electron correlation and band topology is at the forefront of condensed matter research. As a direct consequence of correlation, magnetism enriches topological phases and also has promising functional…

Recent discovery of correlated electronic phases in twisted heterostructures raised a surge of interests in studying models and materials with flat bands where the electronic excitations are nearly dispersionless in momentum space. As such,…

Strongly Correlated Electrons · Physics 2024-03-15 Leyla Majidi , Abolhassan Vaezi , Mehdi Kargarian

Bulk-boundary correspondence is a concept for topological insulators and superconductors that determines the existence of topological boundary states within the tenfold classification table. Contrary to this belief, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2023-11-16 Sang-Hoon Han , Myungjun Kang , Moon Jip Park , Sangmo Cheon

Topological states of fermionic matter can be induced by means of a suitably engineered dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the main resource for many-body dynamics, providing a targeted…

Quantum Physics · Physics 2015-06-15 C. -E. Bardyn , M. A. Baranov , C. V. Kraus , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

We study the unique physical properties of topological nodal-loop semimetals protected by the coexistence of time-reversal and inversion symmetries with negligible spin-orbit coupling. We argue that strong correlation effects occur at the…

Strongly Correlated Electrons · Physics 2017-03-01 Jianpeng Liu , Leon Balents

Topological band theory has been studied for free fermions for decades, and one of the most profound physical results is the bulk-boundary correspondence. Recently a focus in topological physics is extending topological classification to…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Liang Mao , Hui Zhai , Fan Yang

We study gauging operations (or group extensions) in (smeared) boundary conformal field theories (BCFTs) and bulk conformal field theories, and their applications to various phenomena in topologically ordered systems. We apply the resultant…

High Energy Physics - Theory · Physics 2025-08-22 Yoshiki Fukusumi

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

Strongly Correlated Electrons · Physics 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

The effect of boundaries and how these can be used to influence the bulk behaviour in geometrically frustrated systems are both long-standing puzzles, often relegated to secondary role. Here we use numerical simulations and "proof of…

Soft Condensed Matter · Physics 2021-05-12 Carolina Rodríguez-Gallo , Antonio Ortiz-Ambriz , Pietro Tierno

Topological edge states arise at the interface of two topologically-distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Jannatul Ferdous , Cem Yuce , Andrea Alù , Hamidreza Ramezani

Various unusual behaviors of artificial materials are governed by their topological properties, among which the edge state at the boundary of a photonic or phononic lattice has been captivated as a popular notion. However, this remarkable…

Applied Physics · Physics 2025-09-11 Minghong Qi , Dong Wang , Pei-Chao Cao , Xue-Feng Zhu , Cheng-Wei Qiu , Hongsheng Chen , Ying Li

In recent decades, considerable research has been devoted to partial differential equations (PDEs) with dynamic boundary conditions. However, the physical interpretation of the parameters involved often remains unclear, which in turn limits…

Mathematical Physics · Physics 2025-10-29 Xiaobo Jing , Qi Wang

A material's electronic topology, which is generally described via its Bloch states and the associated bandstructure, will be enriched by the presence of interactions. In metallic settings, the interactions are usually treated through the…

Strongly Correlated Electrons · Physics 2026-04-20 D. M. Kirschbaum , L. Chen , D. A. Zocco , H. Hu , F. Mazza , J. Larrea Jiménez , A. M. Strydom , D. Adroja , X. Yan , A. Prokofiev , Q. Si , S. Paschen

The interplay of nontrivial topology and superconductivity in condensed matter physics gives rise to exotic phenomena. However, materials are extremely rare where it is possible to explore the full details of the superconducting pairing.…

The spin-momentum locking of surface states in topological quantum materials can produce a resistance that scales linearly with magnetic and electric fields. Such a bilinear magneto-electric resistance (BMER) effect offers a completely new…

Altermagnetism (AM) and its associated spin-transport phenomena are typically linked to spin-split electronic band structures in bulk materials. However, the crystal surface has a reduced symmetry with respect to the bulk, which can induce…

Strongly Correlated Electrons · Physics 2026-02-12 Valentin Leeb , Peru d'Ornellas , Fernando de Juan , Adolfo G. Grushin

The edges of a two-dimensional topological phase of matter serve as a platform underlying its low-energy dynamics. The topology of the bulk phase dictates the structure of the gapless modes. Proximitizing boundary modes to another boundary,…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Jinhong Park , Yuval Gefen

A quasi-1D superconductor with odd number of Fermi surfaces is expected to exhibit a nondegenerate Majorana bound state at the Fermi level at its boundary with an insulator (where the latter could be an actual insulator material or vacuum,…

Superconductivity · Physics 2021-10-27 Maxim Kharitonov , Ewelina M. Hankiewicz , Björn Trauzettel , F. Sebastian Bergeret
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