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Relativistic massless Dirac fermions can be probed with high-energy physics experiments, but appear also as low-energy quasi-particle excitations in electronic band structures. In condensed matter systems, their massless nature can be…

Strongly Correlated Electrons · Physics 2018-08-15 M. Horio , C. E. Matt , K. Kramer , D. Sutter , A. M. Cook , Y. Sassa , K. Hauser , M. Månsson , N. C. Plumb , M. Shi , O. J. Lipscombe , S. M. Hayden , T. Neupert , J. Chang

We propose two novel two-dimensional topological Dirac materials, planar PtN4C2 and Pt2N8C6, which exhibit graphene-like electronic structures with linearly dispersive Dirac-cone states exactly at the Fermi level. Moreover, the Dirac cone…

Materials Science · Physics 2022-07-20 Jingping Dong , Chuhan Wang , Xinlei Zhao , Miao Gao , Xun-Wang Yan , Fengjie Ma , Zhong-Yi Lu

Condensed matter realization of a single Dirac cone of fermions in two dimensions is a long-standing issue. Here we report the discovery of a single gapless Dirac cone of half-quantized Hall conductance in a magnetically-doped topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Jin-Yu Zou , Rui Chen , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

We investigate magnetoresistivity and the Hall effect in a 6.3 nm gapless HgTe quantum well - a two-dimensional hybrid band system featuring coexisting linear (Dirac-like) and parabolic hole energy bands at low energies. Using a classical…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 G. M. Gusev , A. D. Levin , V. A. Chitta , Z. D. Kvon , N. N. Mikhailov

We present a controlled mechanical exfoliation technique for bulk 3D topological insulators that yields atomically clean ultrathin flakes, enabling quantum well states (QWS) of Dirac electrons to be clearly resolved. Achieving reliable…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Shreyashi Sinha , Shantanu Pathak , Saswata Bhattacharya , Sujit Manna

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath

Our experimental studies of electron transport in wide (14 nm) HgTe quantum wells confirm persistence of a two-dimensional topological insulator state reported previously for narrower wells, where it was justified theoretically. Comparison…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 E. B. Olshanetsky , Z. D. Kvon , G. M. Gusev , A. D. Levin , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

We study the interplay between Dirac and Schr\"odinger fermions in the polarization properties of a two-dimensional electron gas (2DEG). Specifically, we analyze the low-energy sector of narrow-gap semiconductors described by a two-band…

Mesoscale and Nanoscale Physics · Physics 2014-02-28 Stefan Juergens , Paolo Michetti , Björn Trauzettel

A Dirac fermion in a topological Dirac semimetal is a quadruple-degenerate quasi-particle state with a relativistic linear dispersion. Breaking either time-reversal or inversion symmetry turns this system into a Weyl semimetal that hosts…

Materials Science · Physics 2017-07-07 Han-Jin Noh , Jinwon Jeong , En-Jin Cho , Kyoo Kim , B. I. Min , Byeong-Gyu Park

Quantum wells (QWs) based on mercury telluride (HgTe) thin films provide a large scale of unusual physical properties starting from an insulator via a two-dimensional Dirac semimetal to a three-dimensional topological insulator. These…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Jan Gospodaric , Alexey Shuvaev , Nikolai N. Mikhailov , Ze D. Kvon , Elena G. Novik , Andrei Pimenov

The robustness of quantum edge transport in InAs/GaSb quantum wells in the presence of magnetic fields raises an issue on the fate of topological phases of matter under time-reversal symmetry breaking. A peculiar band structure evolution in…

Mesoscale and Nanoscale Physics · Physics 2018-01-23 Chang-An Li , Song-Bo Zhang , Shun-Qing Shen

We investigate Dirac fermions in the antifferomagnetic metallic state of iron-based superconduc- tors. Deriving an effective Hamiltonian for Dirac fermions, we reveal that there exist two Dirac cones carrying the same chirality, contrary to…

Superconductivity · Physics 2010-07-19 Takao Morinari , Eiji Kaneshita , Takami Tohyama

It is highly desirable to modify and improve the Dirac electron system of graphene for novel electronic properties and promising applications. For this purpose, we study 2D heterostructures consisting of graphene and monolayer TMDs by means…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Bo-Wen Yu , Bang-Gui Liu

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

We show that burying of the Dirac point in semiconductor-based quantum-spin-Hall systems can generate unexpected robustness of edge states to magnetic fields. A detailed ${\bf k\cdot p}$ band-structure analysis reveals that InAs/GaSb and…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Rafal Skolasinski , Dmitry I. Pikulin , Jason Alicea , Michael Wimmer

Topological nodal line semimetals, a novel quantum state of materials, possess topologically nontrivial valence and conduction bands that touch at a line near the Fermi level. The exotic band structure can lead to various novel properties,…

The magnetotransport properties of massless Dirac fermions in a gapless HgTe quantum well are investigated. In samples with narrow channels, a large negative magnetoresistance with a Lorentzian profile is observed, which is interpreted as a…

Mesoscale and Nanoscale Physics · Physics 2021-08-02 D. A. Khudaiberdiev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov

Topological band dispersions other than the standard Dirac or Weyl fermions have garnered the increasing interest in materials science. Among them, the cubic Dirac fermions were recently proposed in the family of quasi-one-dimensional…

Materials Science · Physics 2020-09-17 Ziwan Song , Bin Li , Chunqiang Xu , Sixuan Wu , Bin Qian , Tong Chen , Pabitra K. Biswas , Xiaofeng Xu , Jian Sun

Among the most interesting predictions in two-dimensional materials with a Dirac cone is the existence of the zeroth Landau level (LL), equally filled by electrons and holes with opposite chirality. The gapless edge states with helical spin…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 G. M. Gusev , D. A. Kozlov , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

Currently, there is a flurry of research interest on materials with an unconventional electronic structure, and we have already seen significant progress in their understanding and engineering towards real-life applications. The interest…