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We report on numerical study of the Dirac fermions in partially filled N=3 Landau level (LL) in graphene. At half-filling, the equal-time density-density correlation function displays sharp peaks at nonzero wavevectors $\pm {\bf q^{*}}$.…

Strongly Correlated Electrons · Physics 2008-03-31 Hao Wang , D. N. Sheng , L. Sheng , F. D. M. Haldane

Structurally-defined molecule-based lattices such as covalent organic or metal-organic networks on substrates, have emerged as highly tunable, modular platforms for two-dimensional band structure engineering. The ability to grow…

Semi-Dirac fermions are massless in one direction and massive in the perpendicular directions. Such quasiparticles have been proposed in various contexts in condensed matter. Using first principles calculations, we identify a pair of…

Materials Science · Physics 2025-11-13 Alaska Subedi , Kamran Behnia

It was recently demonstrated that the connectivities of bands emerging from zero frequency in dielectric photonic crystals are distinct from their electronic counterparts with the same space groups. We discover that, in an AB-layer-stacked…

Optics · Physics 2020-10-27 Zhongfei Xiong , Ruo-Yang Zhang , Rui Yu , C. T. Chan , Yuntian Chen

The pyrochlore lattice, a three-dimensional network of corner-sharing tetrahedra, is a promising material playground for correlated topological phases arising from the interplay between spin-orbit coupling (SOC) and electron-electron…

The surface of a three-dimensional topological insulator (TI) hosts two-dimensional massless Dirac fermions (DFs), the gapless and spin-helical nature of which yields many exotic phenomena, such as the immunity of topological surface states…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 Mu Chen , Yeping Jiang , Junping Peng , Huimin Zhang , Cui-Zu Chang , Xiao Feng , Zhenguo Fu , Fawei Zheng , Ping Zhang , Lili Wang , Ke He , Xu-Cun Ma , Qi-Kun Xue

Topological semimetals are characterized by their intriguing Fermi surfaces (FSs) such as Weyl and Dirac points, or nodal FS, and their associated surface states. Among them, topological crystalline semimetals, in the presence of strong…

Strongly Correlated Electrons · Physics 2018-05-09 Jacob S. Gordon , Hae-Young Kee

Since the discovery of graphene, layered materials have attracted extensive interests owing to their unique electronic and optical characteristics. Among them, Dirac semimetal, one of the most appealing categories, has been a long-sought…

Topological nodal-line semimetals (TNLSMs) are characterized by symmetry-protected band crossings extending along one-dimensional lines in momentum space. The nodal lines exhibit a variety of possible configurations, such as nodal ring,…

Twisted double- and mono-bilayer graphene are graphene-based moir\'e materials hosting strongly correlated fermions in a gate-tunable conduction band with a topologically non-trivial character. Using unbiased exact diagonalization…

Strongly Correlated Electrons · Physics 2023-03-22 Patrick H. Wilhelm , Thomas C. Lang , Mathias S. Scheurer , Andreas M. Läuchli

We introduce the notion of a band-inverted, topological semimetal in two-dimensional nonsymmorphic crystals. This notion is materialized in the monolayers of MTe$_2$ (M $=$ W, Mo) if spin-orbit coupling is neglected. We characterize the…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Lukas Muechler , Aris Alexandradinata , Titus Neupert , Roberto Car

We study a two-dimensional fermionic square lattice, which supports the existence of two-dimensional Weyl semimetal, quantum anomalous Hall effect, and $2\pi$-flux topological semimetal in different parameter ranges. We show that the band…

Strongly Correlated Electrons · Physics 2013-09-27 Jing-Min Hou

Nodal-point and Nodal-line structures in the dispersion of electron energy bands are characterized by their high degeneracy in certain corners or lines in the Brillouin zone (BZ). These nodal structures can also exist in the dispersion of…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 Jian Yang , Chen Fang , Zheng-Xin Liu

We predict the magnetic and electronic properties of a novel metal-organic framework. By combining density functional theory and density matrix renormalization group approaches, we find the diatomic Kagome crystal structure of the…

Strongly Correlated Electrons · Physics 2025-05-19 Christopher Lane , Yixuan Huang , Lin Hou , Jian-Xin Zhu

We elaborate that single-layer graphene with periodic vacancies can have a band structure containing nodal lines or nodal loops, opening the possibility of graphene-based electronic or spintronic devices with novel functionalities. The…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 Matheus S. M. de Sousa , Fujun Liu , Mariana Malard , Fanyao Qu , Wei Chen

A nodal surface semimetal (NSSM) features symmetry enforced band crossings along a surface within the three-dimensional (3D) Brillouin zone (BZ) and a presence of a nonsymmorphic symmetry there pushes such surfaces to stick to the BZ center…

Mesoscale and Nanoscale Physics · Physics 2024-12-23 Bhaskar Pandit , Satyaki Kar

Starting from the nearest-neighbor tight-binding model on {10,3} and {14,3} hyperbolic lattices that, for a uniform hopping amplitude, gives rise to emergent Dirac fermions on a curved space with a constant negative curvature, displaying a…

Strongly Correlated Electrons · Physics 2025-11-21 Christopher A. Leong , Bitan Roy

Dirac states hosted by Sb/Bi square nets are known to exist in the layered antiferromagnetic AMnX$_2$ (A = Ca/Sr/Ba/Eu/Yb, X=Sb/Bi) material family the space group to be P4/nmm or I4/mmm. In this paper, we present a comprehensive study of…

Based on first-principles calculation and analysis of crystal symmetries, we propose a kind of hourglass-like nodal net (HNN) semimetal in centrosymmetric Ag2BiO3 that is constructed by two hourglass-like nodal chains (HNCs) at mutually…

Materials Science · Physics 2018-09-12 Botao Fu , Dashuai Ma , Xiaotong Fan , Cheng-Cheng Liu , Yugui Yao

Nontrivial topology of Dirac (DSMs), Weyl (WSMs) and nodal line semimetals (NLSMs) are delineated by the novel band crossings near the Fermi level in the bulk and the appearance of exotic surface states. Among them, nodal line semimetals…

Materials Science · Physics 2018-09-18 Ranjan Kumar Barik , Ritesh Kumar , Abhishek K. Singh