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Dirac semimetals lack a simple bulk-boundary correspondence. Recently, Dirac materials with four-fold rotation symmetry have been shown to exhibit a higher order bulk-hinge correspondence: they display "higher order Fermi arcs," which are…

Strongly Correlated Electrons · Physics 2022-01-25 Yuan Fang , Jennifer Cano

Topological phases can not only be protected by internal symmetries (e.g., time-reversal symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry. Recently a complete topological classification of reflection…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Ching-Kai Chiu , Andreas P. Schnyder

Density functional theory (DFT) approaches have been ubiquitously used to predict topological order and non-trivial band crossings in real materials, like Dirac, Weyl semimetals and so on. However, use of less accurate exchange-correlation…

Materials Science · Physics 2020-09-15 Chanchal K. Barman , Chiranjit Mondal , Biswarup Pathak , Aftab Alam

The analogues of elementary particles have been extensively searched for in condensed matter systems because of both scientific interests and technological applications. Recently massless Dirac fermions were found to emerge as low energy…

Materials Science · Physics 2017-05-08 Peizhe Tang , Quan Zhou , Gang Xu , Shou-Cheng Zhang

We demonstrate that the physical reason for the nontrivial topological properties of Dirac semimetals $A_3 Bi$ (A=Na,K,Rb) is connected with a discrete symmetry of the low-energy effective Hamiltonian. By making use of this discrete…

Strongly Correlated Electrons · Physics 2015-03-11 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Condensed matter systems provide a rich setting to realize Dirac and Majorana fermionic excitations and the possibility to manipulate them in materials for potential applications. Recently, it has been proposed that Weyl fermions, which are…

A three-dimensional (3D) Dirac semimetal is the 3D analog of graphene whose bulk band shows a linear dispersion relation in the 3D momentum space. Since each Dirac point with four-fold degeneracy carries a zero Chern number, a Dirac…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bohm-Jung Yang , Naoto Nagaosa

Materials with tunable charge and lattice degrees of freedom provide excellent platforms for investigating multiple phases that can be controlled via external stimuli. We show how the charge-ordered ferroelectric oxide Ag$_2$BiO$_3$, which…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Bahadur Singh , Barun Ghosh , Chenliang Su , Hsin Lin , Amit Agarwal , Arun Bansil

We study with first-principles methods the interplay between bulk and surface Dirac fermions in three dimensional Dirac semimetals. By combining density functional theory with the coherent potential approximation, we reveal a topological…

Mesoscale and Nanoscale Physics · Physics 2014-12-18 Awadhesh Narayan , Domenico Di Sante , Silvia Picozzi , Stefano Sanvito

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…

We report the realization of novel symmetry-protected Dirac fermions in a surface-doped two-dimensional (2D) semiconductor, black phosphorus. The widely tunable band gap of black phosphorus by the surface Stark effect is employed to achieve…

We analyze the topological properties of the possible superconducting states emerging from a Cd$_3$As$_2$-like, $\mathcal{C}_4$-symmetric Dirac semimetal, with two four-fold degenerate Dirac points separated in the $k_z$ direction. Unlike…

Superconductivity · Physics 2022-12-21 Zhenfei Wu , Yuxuan Wang

The discovery of topological semimetal phase in three-dimensional (3D) systems is a new breakthrough in topological material research. Dirac nodal-line semimetal is one of the three topological semimetal phases discovered so far; it is…

Materials Science · Physics 2016-07-06 Jin Hu , Zhijie Tang , Jinyu Liu , Xue Liu , Yanglin Zhu , David Graf , Yanmeng Shi , Shi Che , Chun Ning Lau , Jiang Wei , Zhiqiang Mao

Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pairs of bands. Here we study electronic…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Maksym Serbyn , Dmitry A. Abanin

Three-dimensional Dirac semimetals, a three-dimensional analogue of graphene, are unusual quantum materials with massless Dirac fermions, which can be further converted to Weyl fermions by breaking time reversal or inversion symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 Li-Xian Wang , Cai-Zhen Li , Da-Peng Yu , Zhi-Min Liao

Higher-fold chiral fermions that go beyond two-fold Weyl fermions have recently been reported in crystalline systems. Here, we focus on such excitations in several binary, ternary and quaternary alloys/compounds with CoGe, BiSbPt and KMgBO3…

Materials Science · Physics 2020-11-30 Chanchal K. Barman , Chiranjit Mondal , Sumiran Pujari , Biswarup Pathak , Aftab Alam

Double Dirac fermions have recently been identified as possible quasiparticles hosted by three-dimensional crystals with particular non-symmorphic point group symmetries. Applying a combined approach of ab-initio methods and dynamical mean…

Strongly Correlated Electrons · Physics 2017-09-20 Domenico Di Sante , Andreas Hausoel , Paolo Barone , Jan M. Tomczak , Giorgio Sangiovanni , Ronny Thomale

Topological Dirac semimetals with accidental band touching between conduction and valence bands protected by time reversal and inversion symmetry are at the frontier of modern condensed matter research. Theoretically one can get Weyl and/or…

We present a new type of three-dimensional essential Dirac semimetal with magnetic ordering. The Dirac points are protected by the magnetic space groups and cannot be gapped without lowering such symmetries, where the combined antiunitary…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Jing Wang

Triple point fermions are elusive electronic excitations that generalize Dirac and Weyl modes beyond the conventional high energy paradigm. Yet, finding real materials naturally hosting these excitations at the Fermi energy has remained…

Mesoscale and Nanoscale Physics · Physics 2019-06-18 Aline Ramires , J. L. Lado