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The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato

We use the determinant Quantum Monte Carlo method (DQMC) to study the interaction-driven semimetal to antiferromagnetic insulator transition in a $\pi$-flux Hamiltonian with modulated hoppings, a model which has two species of Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 H. -M. Guo , Lei Wang , R. T. Scalettar

Substituting magnetic ions with nonmagnetic ions is a new way to study dilution. Using determinant quantum Monte Carlo calculations, we investigate an interacting Dirac fermion model with the on-site Coulomb repulsion being randomly zero on…

Strongly Correlated Electrons · Physics 2022-12-06 Lingyu Tian , Jingyao Meng , Tianxing Ma

We study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original…

Strongly Correlated Electrons · Physics 2018-01-03 Hart Goldman , Michael Mulligan , S. Raghu , Gonzalo Torroba , M. Zimet

In BaNiS2 a Dirac nodal-line band structure exists within a two-dimensional Ni square lattice system, in which significant electronic correlation effects are anticipated. Using scanning tunneling microscopy, we discover signs of…

Strongly Correlated Electrons · Physics 2022-12-28 C. J. Butler , Y. Kohsaka , Y. Yamakawa , M. S. Bahramy , S. Onari , H. Kontani , T. Hanaguri , S. Shamoto

We develop an exact map of all states and operators from 2D lattices of spins-$1/2$ into lattices of fermions and bosons with mutual semionic statistical interaction that goes beyond previous dualities of $\mathbb{Z}_2$ lattice gauge…

Strongly Correlated Electrons · Physics 2022-10-12 Chuan Chen , Peng Rao , Inti Sodemann

Strong electron correlations lie at the origin of transformative phenomena such as colossal magneto-resistance and high-temperature superconductivity. Already near room temperature, doped copper oxide materials display remarkable features…

We use determinant quantum Monte Carlo (DQMC) simulations to study the role of electron-electron interactions on three-dimensional (3D) Dirac fermions based on the $\pi$-flux model on a cubic lattice. We show that the Hubbard interaction…

Strongly Correlated Electrons · Physics 2020-11-04 Yiqun Huang , Huaiming Guo , Joseph Maciejko , Richard T. Scalettar , Shiping Feng

We consider the relation between spin and the Berry-phase contribution to the anomalous velocity of massive and massless Dirac particles. We extend the Berry connection that depends only on the spatial components of the particle momentum to…

High Energy Physics - Theory · Physics 2015-01-14 Michael Stone , Vatsal Dwivedi , Tianci Zhou

The interband optical absorption of linearly polarised light by two-dimensional (2D) semimetals hosting tilted and anisotropic Dirac cones in the bandstructure is analysed theoretically. Super-critically tilted (type-II) Dirac cones are…

Mesoscale and Nanoscale Physics · Physics 2022-06-09 A. Wild , E. Mariani , M. E. Portnoi

Manipulating valley-dependent Berry phase effects provides remarkable opportunities for both fundamental research and practical applications. Here, by referring to effective model analysis, we propose a general scheme for realizing…

Mesoscale and Nanoscale Physics · Physics 2021-10-06 Xiaodong Zhou , Run-Wu Zhang , Zeying Zhang , Wanxiang Feng , Yuriy Mokrousov , Yugui Yao

We study the Fermi level structure of 2+1-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the background…

High Energy Physics - Theory · Physics 2013-05-29 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and…

Quantum Gases · Physics 2015-05-13 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

The effect of 50\% Cu doping at the Au site in the topological Dirac semimetal CaAuAs is investigated through electronic band structure calculations, electrical resistivity, and magnetotransport measurements. Electronic structure…

Strongly Correlated Electrons · Physics 2022-08-15 Sudip Malick , Arup Ghosh , Chanchal K. Barman , Aftab Alam , Z. Hossain , Prabhat Mandal , J. Nayak

A new mechanism of the Verway transition in magnetite (Fe3O4), which has been argued to be a charge ordering transition so far, is proposed. Based on the mean field calculations for the three band model of spinless fermions appropriate for…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Masao Ogata , Hidetoshi Fukuyama

I investigate the two-dimensional Dirac fermion analogue of artificial atoms (Fock-Darwin states, FD) in a circular n-p junction on a topological insulator surface. The FD states in this non-parabolic potential exhibit a unique…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Ye-ping Jiang

Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter physics, describing low-energy excitations in graphene, in certain classes of superconductors, and on surfaces of 3D topological insulators. At zero…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Björn Sbierski , Elizabeth J. Dresselhaus , Joel E. Moore , Ilya A. Gruzberg

We consider 2D Dirac fermions in the presence of three types of disorder: random scalar potential, random gauge potential and random mass with long-range correlations decaying as a power law. Using various methods such as the…

Mesoscale and Nanoscale Physics · Physics 2012-03-29 Andrei A. Fedorenko , David Carpentier , Edmond Orignac

We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

Experimentally feasible methods to determine the Berry phase, a fundamental quantity characterizing a quantum material, are often needed in applications. We develop an approach to detecting the Berry phase by using a class of…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Cheng-Zhen Wang , Ying-Cheng Lai