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The distinct over-tilting of band crossings in topological semimetal generates the type-I and typeII classification of Dirac/Weyl and nodal-line fermions, accompanied by the exotic electronic and magnetic transport properties. In this work,…

Materials Science · Physics 2023-01-10 Hongbo Wu , Da-Shuai Ma , Botao Fu

Motivated by exploring the effect of interactions on Chern insulators, and by recent experiments realizing topological bands for ultracold atoms in synthetic gauge fields, we study the honeycomb lattice Haldane-Hubbard model of spin-$1/2$…

Strongly Correlated Electrons · Physics 2016-03-08 V. S. Arun , R. Sohal , C. Hickey , A. Paramekanti

We present theoretical and experimental results probing the rich topological structure of arbitrarily disordered finite tight binding Hamiltonians with chiral symmetry. We extend the known classification by considering the topological…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Maxine M. McCarthy , D. M. Whittaker

Graphene is a two-dimensional Dirac semimetal showing interesting properties as a result of its dispersion relation with both quasiparticles and quasiholes or matter and anti-matter. We introduce a topological nodal ring semimetal in…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 Karyn Le Hur , Sariah Al Saati

The ground state of large Hubbard $U$ limit of a honeycomb lattice near half-filling is known to be a singlet $d+id$-wave superconductor. It is also known that this $d+id$ superconductor exhibits a chiral $p+ip$ pairing locally at the Dirac…

Superconductivity · Physics 2016-02-24 Shin-Ming Huang , Wei-Feng Tsai , Chung-Hou Chung , Chung-Yu Mou

Transition-metal dichalcogenides (TMDs) are renowned for their rich and varied properties. They range from metals and superconductors to strongly spin-orbit-coupled semiconductors and charge-density-wave systems, with their single-layer…

We introduce a new type of topological magnon matter: the magnonic pendant to electronic nodal-line semimetals. Magnon spectra of anisotropic pyrochlore ferromagnets feature twofold degeneracies of magnon bands along a closed loop in…

Computational Physics · Physics 2017-01-25 Alexander Mook , Jürgen Henk , Ingrid Mertig

In this tutorial, we pedagogically review recent developments in the field of non-interacting fermionic phases of matter, focussing on the low energy description of higher-order topological insulators in terms of the Dirac equation. Our aim…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Frank Schindler

Topological phases in magnetic materials offer novel tunability of topological properties via varying the underlying magnetism. We show that three dimensional Kitaev materials can provide a great opportunity for controlling…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Tomonari Mizoguchi , Yong Baek Kim

Owing to the natural compatibility with current semiconductor industry, silicon allotropes with diverse structural and electronic properties provide promising platforms for the next-generation Si-based devices. After screening 230…

Materials Science · Physics 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…

In chiral crystals crystalline symmetries can protect multifold fermions, pseudo-relativistic masless quasiparticles that have no high-energy counterparts. Their realization in transition metal monosilicides has exemplified their intriguing…

Mesoscale and Nanoscale Physics · Physics 2024-03-15 Selma Franca , Adolfo G. Grushin

In general, the stability of a band crossing point indicates the presence of a quantized topological number associated with it. In particular, the recent discovery of three-dimensional Dirac semimetals in Na$_{3}$Bi and Cd$_{3}$As$_{2}$…

Mesoscale and Nanoscale Physics · Physics 2015-10-27 Bohm-Jung Yang , Takahiro Morimoto , Akira Furusaki

In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this Rapid Communication, we introduce "nodal-link…

Strongly Correlated Electrons · Physics 2017-11-28 Zhongbo Yan , Ren Bi , Huitao Shen , Ling Lu , Shou-Cheng Zhang , Zhong Wang

Topological crystalline metals/semimetals (TCMs) have stimulated a great research interest, which broaden the classification of topological phases and provide a valuable platform to explore topological superconductivity. Here, we report the…

We study the sodium-iridates model on the honeycomb lattice with both BCS pairing potential and Hubbard interaction term. It is shown that this model can be exactly solved with appropriate choices of amplitude of pairing gaps, where the…

Strongly Correlated Electrons · Physics 2020-10-06 Shihao Bi , Yan He , Peng Li

Based on the first-principles study, we report a new set of topological semimetals (TiS, TiSe, TiTe, HfS, HfSe, HfTe and ZrS) which show the co-existence of a nodal-ring and triply-degenerate points. The two-fold degenerate one-dimensional…

Materials Science · Physics 2017-12-05 Mighfar Imam , Ranjan Kumar Barik , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice. We investigate the topological properties of a silicene superstructure generated by an external periodic potential. The superstructure is a quantum…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 Motohiko Ezawa

Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

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