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We analyze junctions between noninteracting fermionic topological phases. A closed-form condition for the existence of localized modes at the interface is derived using the transfer matrix approach. These analytical conditions as well as…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Vatsal Dwivedi

Electronic states confined to zero angle grain boundaries in single layer graphene are analyzed using topological band theoretic arguments. We identify a hidden chiral symmetry which supports symmetry protected zero modes in projected bulk…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 Madeleine Phillips , E. J. Mele

The dispersion relations of magnons in ferromagnetic pyrochlores with Dzyaloshinskii-Moriya interaction is shown to possess Weyl points, i.\,e., pairs of topological nontrivial crossings of two magnon branches with opposite topological…

Computational Physics · Physics 2016-10-12 Alexander Mook , Jürgen Henk , Ingrid Mertig

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Heng Gao , Jörn W. F. Venderbos , Youngkuk Kim , Andrew M. Rappe

Recent experimental breakthrough in magnetic Weyl semimetals have inspired exploration on the novel effects of various magnetic structures in these materials. Here we focus on a domain wall structure which connects two uniform domains with…

Superconductivity · Physics 2021-06-07 Zhao Huang , Christopher Lane , Dmitry Yarotski , A. J. Taylor , Jian-Xin Zhu

We propose that the topological semimetal features can co-exist with ferromagnetic ground state in vanadium-phosphorous-oxide $\beta$-V$_2$OPO$_4$ compound from first-principles calculations. In this magnetic system with inversion symmetry,…

Materials Science · Physics 2017-11-08 Y. J. Jin , R. Wang , J. Z. Zhao , Z. J. Chen , Y. J. Zhao , H. Xu

Spin fluctuations in two-dimensional (2D) ferromagnets in the presence of crystalline lattice dislocations are investigated. We show the existence of topologically protected non-propagative modes that localize at dislocations. These in-gap…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Carlos Saji , Nicolas Vidal-Silva , Alvaro S. Nunez , Roberto E. Troncoso

We investigate the topological electronic properties of the $K_4$ crystal by constructing a tight-binding model. The bulk band structure hosts Weyl nodes with higher and conventional chiralities ($\chi = \pm 2$ and $\chi = \pm 1$) located…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Shoya Yoshida , Katsuhiro Takahashi , Katsunori Wakabayashi

Lasing behavior of optically active planar topological Weyl semimetal (TWS) is investigated in view of the Kerr and Faraday rotations. Robust topological character of TWS is revealed by the presence of Weyl nodes and relevant surface…

Optics · Physics 2020-02-26 Güneş Oktay , Mustafa Sarisaman , Murat Tas

Topological wave phenomena in continuous media are fundamentally challenged by unbounded spectra and the absence of a compact Brillouin zone, which obstruct conventional bulk--interface formulations. We develop a unified phase-space…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Xianhao Rao , Adil Yolbarsop , Hong Li , Wandong Liu

Despite of a rapidly expanding inventory of possible crystalline Weyl semimetals, all of them are constrained by the Nielsen-Ninomiya no-go theorem, namely, that left- and right-handed Weyl points appear in pairs. With time-reversal (T)…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Zhi-Ming Yu , Weikang Wu , Y. X. Zhao , Shengyuan A. Yang

Topological materials can host edge and corner states that are protected from disorder and material imperfections. In particular, the topological edge states of mechanical structures present unmatched opportunities for achieving robust…

Materials Science · Physics 2023-04-12 Marcelo Guzman , Xiaofei Guo , Corentin Coulais , David Carpentier , Denis Bartolo

Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

Recently, the tunable Weyl-semimetal bands and the associate topological phase transition have been successfully simulated in superconducting quantum circuits [X. Tan, \textit{et al.} Phys. Rev. Lett. {\bf 122}, 010501 (2019)]. Since the…

Quantum Physics · Physics 2022-10-28 Mingzhu Weng , Weijun Cheng , Zhihai Wang , Haodi Liu

One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather…

Optics · Physics 2020-12-15 Stefano Longhi

Magnetic topological semimetals are increasingly fueling interests in exotic electronic-thermal physics including thermoelectrics and spintronics. To control the transports of topological carriers in such materials becomes a central issue.…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Shen Zhang , Jinying Yang , Meng Lyu , Junyan Liu , Binbin Wang , Hongxiang Wei , Claudia Felser , Wenqing Zhang , Enke Liu , Baogen Shen

The existence and topological classification of lower-dimensional Fermi surfaces is often tied to the crystal symmetries of the underlying lattice systems. Artificially engineered lattices, such as heterostructures and other superlattices,…

Mesoscale and Nanoscale Physics · Physics 2017-12-08 Jan Behrends , Jun-Won Rhim , Shang Liu , Adolfo G. Grushin , Jens H. Bardarson

We discuss the stability of the topological invariant of the strongly interacting Weyl semi-metal at finite temperature. We find that if the interactions and temperature of the system are controlled by the holography, the topology is stable…

High Energy Physics - Theory · Physics 2020-04-22 Geunho Song , Junchen Rong , Sang-Jin Sin

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

We find that the vortex bound states in superconducting topological semimetals are gapless owing to topological massless excitations in their normal states. We demonstrate this universal result in a variety of semimetals including Dirac and…

Superconductivity · Physics 2023-03-28 Yi Zhang , Shengshan Qin , Kun Jiang , Jiangping Hu