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The response of Dirac fermions to a Coulomb potential is predicted to differ significantly from the behavior of non-relativistic electrons seen in traditional atomic and impurity systems. Surprisingly, many key theoretical predictions for…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Yang Wang , Victor W. Brar , Andrey V. Shytov , Qiong Wu , William Regan , Hsin-Zon Tsai , Alex Zettl , Leonid S. Levitov , Michael F. Crommie

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

Two-dimensional crystals, single sheets of layered materials, often show distinct properties desired for optoelectronic applications, such as larger and direct band gaps, valley- and spinorbit effects. Being atomically thin, the low amount…

Materials Science · Physics 2018-11-14 Roman Kempt , Agnieszka Kuc , Jae Hyo Han , Jinwoo Cheon , Thomas Heine

Three-dimensional (3D) topological Dirac semimetal is a new kind of material that has a linear energy dispersion in 3D momentum space and can be viewed as an analog of graphene. Extensive efforts have been devoted to the understanding of…

Materials Science · Physics 2015-03-03 Enze Zhang , Yanwen Liu , Weiyi Wang , Cheng Zhang , Peng Zhou , Zhi-Gang Chen , Jin Zou , Faxian Xiu

The three dimensional (3D) Dirac semimetal, which has been predicted theoretically, is a new electronic state of matter. It can be viewed as 3D generalization of graphene, with a unique electronic structure in which conduction and valence…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 Sergey Borisenko , Quinn Gibson , Danil Evtushinsky , Volodymyr Zabolotnyy , Bernd Buechner , Robert J. Cava

Atomic-scale control of light-matter interactions represent the ultimate frontier for many applications in photonics and quantum technology. Two-dimensional semiconductors, including transition metal dichalcogenides, are a promising…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 John M. Woods , Saroj B. Chand , Enrique Mejia , Takashi Taniguchi , Kenji Watanabe , Johannes Flick , Gabriele Grosso

This study is devoted to the profound implications of tilted Dirac cones on the quantum transport properties of two-dimensional (2D) Dirac materials. These materials, characterized by their linear conic energy dispersions in the vicinity of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Rasha Al-Marzoog , Ali Rezaei , Zahra Noorinejad , Mohsen Amini , Ebrahim Ghanbari-Adivi , S. A. Jafari

Classical electromagnetism is linear. However, fields can polarize the vacuum Dirac sea, causing quantum nonlinear electromagnetic phenomena, e.g., scattering and splitting of photons, that occur only in very strong fields found in neutron…

Other Condensed Matter · Physics 2022-02-15 Aydin C. Keser , Yuli Lyanda-Geller , Oleg P. Sushkov

We provide a broad review of fundamental electronic properties of two-dimensional graphene with the emphasis on density and temperature dependent carrier transport in doped or gated graphene structures. A salient feature of our review is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 S. Das Sarma , Shaffique Adam , E. H. Hwang , Enrico Rossi

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions. Moreover, the particular…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. A. H. Vozmediano , M. I. Katsnelson , F. Guinea

Many-body interactions in crystalline solids can be conveniently described in terms of quasiparticles with strongly renormalized masses as compared to those of non-interacting particles. Examples of extreme mass renormalization are on the…

An interaction-driven nonzero quantum Hall conductivity is shown to occur in time-reversal symmetric massive Dirac materials, in the absence of any external agent. The effect is produced through the dynamical breakdown of time-reversal…

Strongly Correlated Electrons · Physics 2017-02-07 Leandro O. Nascimento , E. C. Marino , Van Sérgio Alves , C. Morais Smith

Bismuth and its alloys provide a paradigm to realize three dimensional materials whose low-energy effective theory is given by Dirac equation in 3+1 dimensions. We study the quantum transport properties of three dimensional Dirac materials…

Mesoscale and Nanoscale Physics · Physics 2016-04-08 M. Salehi , S. A. Jafari

Electrons in low-temperature solids are governed by the non-relativistic Schr$\ddot{o}$dinger equation, since the electron velocities are much slower than the speed of light. Remarkably, the low-energy quasi-particles given by electrons in…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Jiabin Yu , Chao-Xing Liu

This review aims at a theoretical discussion of Dirac points in two-dimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Mark O. Goerbig , Gilles Montambaux

The interaction between two different materials can present novel phenomena that are quite different from the physical properties observed when each material stands alone. Strong electronic correlations, such as magnetism and…

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

The electromagnetic response of a two-dimensional metal embedded in a periodic array of a dielectric host can give rise to a plasmonic Dirac point that emulates Epsilon-Near-Zero (ENZ) behavior. This theoretical result is extremely…

Cavity quantum electrodynamics (QED) studies the interaction between light and matter at the single quantum level and has played a central role in quantum science and technology. Combining the idea of cavity QED with moir\'e materials, we…

Strongly Correlated Electrons · Physics 2024-06-14 Kanta Masuki , Yuto Ashida

It is well-known that the tight-binding Hamiltonian of graphene describes the low-energy excitations that appear to be massless chiral Dirac fermions. Thus, in the continuum limit one can analyze the crystal properties using the formalism…

Materials Science · Physics 2012-11-03 P. Kosinski , P. Maslanka , J. Slawinska , I. Zasada