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Dirac materials, which feature Dirac cones in the reciprocal space, have been one of the hottest topics in condensed matter physics in the past decade. To date, 2D and 3D Dirac Fermions have been extensively studied, while their 1D…

Originating from relativistic quantum field theory, Dirac fermions have been recently applied to study various peculiar phenomena in condensed matter physics, including the novel quantum Hall effect in graphene, magnetic field driven…

Strongly Correlated Electrons · Physics 2008-04-10 S. Y. Zhou , G. -H. Gweon , J. Graf , A. V. Fedorov , C. D. Spataru , R. D. Diehl , Y. Kopelevich , D. -H. Lee , Steven G. Louie , A. Lanzara

The optical properties of an electron gas in a magnetic field at filling fractions \nu = {1\over 2m} (m=1,2,3...) are investigated using the composite fermion picture. The response of the system to the presence of valence-band holes is…

Condensed Matter · Physics 2009-10-28 Darren J. T. Leonard , Neil F. Johnson , V. Nikos Nicopoulos , F. J. Rodriguez

The understanding of density waves is a vital component of our insight into electronic quantum matters. Here, we propose an additional mosaic to the existing mechanisms such as Fermi-surface nesting, electron-phonon coupling, and exciton…

Strongly Correlated Electrons · Physics 2023-06-22 Tianlun Zhao , Yi Zhang

Properties of strongly correlated two-dimensional (2D) electron systems in solids are studied on the assumption that these systems undergo a phase transition, called fermion condensation, whose characteristic feature is flattening of the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Khodel , M. V. Zverev

In this paper, we investigate a five-dimensional Dirac fermion on a quantum graph that consists of a single vertex and $N$ loops. We find that the model possesses a rich structure of boundary conditions for wavefunctions on the quantum…

High Energy Physics - Theory · Physics 2020-01-08 Yukihiro Fujimoto , Tomonori Inoue , Makoto Sakamoto , Kazunori Takenaga , Inori Ueba

Inspired by the Dirac model model of graphene, we consider a $(2+1)$-dimensional fermionic system in which fermions are described by four-component spinors. These fermions are proposed to interact with an electromagnetic field originating…

High Energy Physics - Theory · Physics 2025-04-04 Sergey N. Solodukhin

Recently, type-II Dirac fermions characterized by strongly titled Dirac cones have been proposed. The new fermions exhibit unique physical properties different from the type-I Dirac fermions in graphene, and thus attract tremendous…

Materials Science · Physics 2016-12-28 Honghong Zhang , Yuee Xie , Chengyong Zhong , Zhongwei Zhang , Yuanping Chen

Ultracold quantum gases offer unique possibilities to study interacting many-body quantum systems. Probing and manipulating such systems with ever increasing degree of control requires novel experimental techniques. Scanning electron…

Quantum Gases · Physics 2015-09-14 Bodhaditya Santra , Herwig Ott

Dirac point in two-dimensional (2D) materials has been a fascinating subject of research. Recently, it has been theoretically predicted that Dirac point may also be stabilized in 2D magnetic systems. However, it remains a challenge to…

Materials Science · Physics 2020-01-22 Si Li , Ying Liu , Zhi-Ming Yu , Yalong Jiao , Shan Guan , Xian-Lei Sheng , Yugui Yao , Shengyuan A. Yang

Spin waves (magnons) in 2D materials have received increasing interest due to their unique states and potential for tunability. However, many interesting features of these systems, including Dirac points and topological states, occur at…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Bobby Kaman , Jinho Lim , Yingkai Liu , Axel Hoffmann

We consider a theory of a two-component Dirac fermion localized on a (2+1) dimensional brane coupled to a (3+1) dimensional bulk. Using the fermionic particle-vortex duality, we show that the theory has a strong-weak duality that maps the…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Wei-Han Hsiao , Dam Thanh Son

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

We calculate the long-wavelength static screening properties of both neutral and doped graphene in the framework of density-functional theory. We use a plane-wave approach with periodic images in the third dimension and truncate the Coulomb…

Materials Science · Physics 2015-05-20 Thibault Sohier , Matteo Calandra , Francesco Mauri

Hydrogen, a simple and magic element, has attracted increasing attention for its effective incorporation within solids and powerful manipulation of electronic states. Here, we show that hydrogenation tackles common problems in…

Mesoscale and Nanoscale Physics · Physics 2023-02-10 Botao Fu , Run-Wu Zhang , Xiaotong Fan , Si Li , Da-Shuai Ma , Cheng-Cheng Liu

In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+1 dimensional Hamiltonian of quantum electrodynamics which follows in…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

For atomic thin layer insulating materials we provide an exact analytic form of the two-dimensional screened potential. In contrast to three-dimensional systems where the macroscopic screening can be described by a static dielectric…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Pierluigi Cudazzo , Ilya V. Tokatly , Angel Rubio

A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Mikito Koshino , Hideo Aoki

We introduce the concept of a photonic Dirac monopole, appropriate for photonic crystals, metamaterials and 2D materials, by utilizing the Dirac-Maxwell correspondence. We start by exploring vacuum where the reciprocal momentum space of…

Optics · Physics 2018-12-12 Todd Van Mechelen , Zubin Jacob
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