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Topological physics and strong electron-electron correlations in quantum materials are typically studied independently. However, there have been rapid recent developments in quantum materials in which topological phase transitions emerge…

Motivated by the recent experimental observation of anomalous magneto-transport properties near the Mott quantum critical point (QCP) of pyrochlore iridates, we study the generic topological band structure near QCP in the presence of…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Taekoo Oh , Hiroaki Ishizuka , Bohm-Jung Yang

The quadratic band crossing points (QBCPs) at Fermi level in two-dimension have been proposed to be unstable under electron-electron interaction. The possible interaction driven states include quantum anomalous Hall (QAH) state and various…

Materials Science · Physics 2022-12-14 Xuecong Ji , Jiacheng Gao , Changming Yue , Zhijun Wang , Hua Wu , Xi Dai , Hongming Weng

3D Dirac semimetals are an emerging class of materials that possess topological electronic states with a Dirac dispersion in their bulk. In nodal-line Dirac semimetals, the conductance and valence bands connect along a closed path in…

Double-Weyl fermions, as novel topological states of matter, have been mostly discussed in nonmagnetic materials. Here, based on density-functional theory and symmetry analysis, we propose the realization of fully spin-polarized double-Weyl…

Materials Science · Physics 2020-11-30 Lei Jin , Xiaoming Zhang , Ying Liu , Xuefang Dai , Liying Wang , Guodong Liu

We show that topological states are often developed in two dimensional semimetals with quadratic band crossing points (BCPs) by electron-electron interactions. To illustrate this, we construct a concrete model with the BCP on an extended…

Strongly Correlated Electrons · Physics 2015-05-18 Wei-Feng Tsai , Chen Fang , Hong Yao , JiangPing Hu

We study the single-particle spectrum of three-dimensional Weyl semimetals taking into account electron-phonon interactions that are the result of straining the material. We find that a well-defined fermionic excitation appears in addition…

Mesoscale and Nanoscale Physics · Physics 2019-11-04 E. C. I. van der Wurff , A. Cortijo

We study for the first time the effects of strong short-range electron-electron interactions in generic Rarita--Schwinger--Weyl semimetals hosting spin-3/2 electrons with linear dispersion at a four-fold band crossing point. The emergence…

Strongly Correlated Electrons · Physics 2020-03-30 Igor Boettcher

In a topological semimetal with Dirac or Weyl points, the bulk edge correspondence principle predicts a gapless edge mode if the essential symmetry is still preserved at the surface. The detection of such topological surface state has been…

Type-II semi-Dirac fermions in two dimensions have been proposed to describe topologically nontrivial low-energy excitations in titanium/vanadium oxide heterostructures. These quasiparticles appear at the merger of three Dirac cones,…

Strongly Correlated Electrons · Physics 2026-05-19 Mohamed M. Elsayed , Taras I. Lakoba , Valeri N. Kotov

The crystal symmetry of a material dictates the type of topological band structures it may host, and therefore symmetry is the guiding principle to find topological materials. Here we introduce an alternative guiding principle, which we…

Topological phase transitions in condensed matters accompany emerging singularities of the electronic wave function, often manifested by gap-closing points in the momentum space. In conventional topological insulators in three dimensions…

Strongly Correlated Electrons · Physics 2014-10-02 Bohm-Jung Yang , Eun-Gook Moon , Hiroki Isobe , Naoto Nagaosa

Nodal-line metals and semimetals, as interesting topological states of matter, have been mostly studied in nonmagnetic materials. Here, based on first-principles calculations and symmetry analysis, we predict that fully spin-polarized Weyl…

Materials Science · Physics 2019-03-13 Cong Chen , Zhi-Ming Yu , Si Li , Ziyu Chen , Xian-Lei Sheng , Shengyuan A. Yang

Nodal-loop semimetals are materials in which the conduction and valence bands cross on a one-dimensional loop in the reciprocal space. For the nodal-loop character to manifest in physical properties, it is desired that the loop is close to…

Materials Science · Physics 2018-06-29 Si Li , Ying Liu , Botao Fu , Zhi-Ming Yu , Shengyuan A. Yang , Yugui Yao

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

A search for new topological quantum systems is challenging due to the requirement of non{trivial band connectivity that leads to protected surface states of electrons. A progress in this field was primarily due to a realization of band…

Materials Science · Physics 2018-06-13 Yongping Du , Er-jun Kan , Hu Xu , Sergey Y. Savrasov , Xiangang Wan

Topological semimetals with massless Dirac and Weyl fermions represent the forefront of quantum materials research. In two dimensions (2D), a peculiar class of fermions that are massless in one direction and massive in the perpendicular…

Weyl semimetals are gapless three-dimensional topological materials where two bands touch at even number of points in the Brillouin zone. In this work we study a zincblende lattice model realizing a time-reversal invariant Weyl semimetal.…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Teemu Ojanen

Topological Dirac semimetals are a class of semimetals that host symmetry-protected Dirac points near the Fermi level, which arise due to a band inversion of the conduction and valence bands. In this work, we study the less explored class…

Materials Science · Physics 2021-06-02 Heng Gao , Jeremy Strockoz , Mario Frakulla , Jörn W. F. Venderbos , Hongming Weng

The spin-orbit coupling field, an atomic magnetic field inside a Kramer's system, or discrete symmetries can create a topological torus in the Brillouin Zone and provide protected edge or surface states, which can contain relativistic…