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Electron systems that possess light-like dispersion relations or the conical Dirac spectrum, such as graphene and bismuth, have recently been shown to harbor unusual collective states in high magnetic fields. Such states are possible…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 D. Hsieh , Y. Xia , D. Qian , L. Wray , J. H. Dil , F. Meier , L. Patthey , J. Osterwalder , A. V. Fedorov , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk

We observe energy-dependent angle-resolved diffraction patterns in protons from strong-field dissociation of the molecular hydrogen ion H$_2^+$. The interference is a characteristic of dissociation around a laser-induced conical…

Atomic and Molecular Clusters · Physics 2016-04-11 Adi Natan , Matthew R Ware , Vaibhav S. Prabhudesai , Uri Lev , Barry D. Bruner , Oded Heber , Philip H Bucksbaum

The properties of Dirac electrons in a magnetic superlattice (SL) on graphene consisting of very high and thin (delta-function) barriers are investigated. We obtain the energy spectrum analytically and study the transmission through a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Ramezani Masir , P. Vasilopoulos , F. M. Peeters

Dirac particles, massless relativistic entities, obey linear energy dispersions and hold important implication in particle physics. Recent discovery of Dirac fermions in condensed matter systems including graphene and topological insulators…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Na Young Kim , Kenichiro Kusudo , Andreas Loeffler , Sven Hoefling , Alfred Forchel , Yoshihisa Yamamoto

The spin-orbit interaction of light is a crucial concept for understanding the electromagnetic properties of a material and realizing the spin-controlled manipulation of optical fields. Achieving these goals requires a complete description…

Optics · Physics 2022-11-08 Longlong Feng , Qianfan Wu

A new class of multi-scale structures, referred to as `parabolic metamaterials' is introduced and studied in this paper. For an elastic two-dimensional triangular lattice, we identify dynamic regimes, which corresponds to so-called `Dirac…

Materials Science · Physics 2016-09-21 D. J. Colquitt , N. V. Movchan , A. B. Movchan

The Dirac equation is a paradigmatic model that describes a range of intriguing properties of relativistic spin-1/2 particles, from the existence of antiparticles to Klein tunneling. However, the Dirac-like equations have found application…

The exciting discovery of bi-dimensional systems in condensed matter physics has triggered the search of their photonic analogues. In this letter, we describe a general scheme to reproduce some of the systems ruled by a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Simon Yves , Thomas Berthelot , Mathias Fink , Geoffroy Lerosey , Fabrice Lemoult

Spin-1/2 particles such as the electron are described by the Dirac equation, which allows for two spin eigenvalues (up or down) and two types of energy eigenvalues (positive or negative, corresponding to the electron and the positron). A…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Matthew Mecklenburg , B. C. Regan

In electronic topological Dirac semimetals the conduction and valence bands touch at discrete points in the Brillouin zone and form Dirac cones. They are robust against spin-orbit interaction (SOI) and protected by crystal symmetries. They…

Strongly Correlated Electrons · Physics 2017-09-27 S. A. Owerre

The discovery of the Dirac electron dispersion in graphene led to the question of the Dirac cone stability with respect to interactions. Coulomb interactions between electrons were shown to induce a logarithmic renormalization of the Dirac…

One of the most striking predictions of quantum electrodynamics is that vacuum fluctuations of the electromagnetic field can lead to spontaneous emission of atoms as well as photon-mediated interactions among them. Since these processes…

Quantum Physics · Physics 2021-11-17 J. Redondo-Yuste , M. Blanco de Paz , P. A. Huidobro , A. González-Tudela

We show that the timed Dicke states of a collection of three-level atoms can form a tight-binding lattice in momentum space. This lattice, coined the superradiance lattice (SL), can be constructed based on electromagnetically induced…

Atomic Physics · Physics 2015-01-29 Da-Wei Wang , Ren-Bao Liu , Shi-Yao Zhu , Marlan O. Scully

We examine the low energy effective theory of phase oscillations in a two-dimensional granular superconducting sheet where the grains are arranged in honeycomb lattice structure. Using the example of graphene we present the evidence for the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Saikat Banerjee , J. Fransson , A. M. Black-Schaffer , H. Ågren , A. V. Balatsky

Wave propagation in time-varying media has attracted significant attention for its innovative potential to control wave-matter interactions and to develop versatile active materials. While most research has focused on electromagnetic waves,…

Disordered Systems and Neural Networks · Physics 2025-01-22 Seulong Kim , Kihong Kim

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

We explore the optical properties of periodic layered media containing left-handed metamaterials. This study is based on several analogies between the propagation of light in metamaterials and charge transport in graphene. We derive the…

Optics · Physics 2013-08-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

In this work, we treat the rotation of the optical axis as a new degree of freedom and theoretically propose a tilted linear-crossing metamaterials (TLCMM). Specifically, the conical dispersions of the NLCMM and TLCMM have the same shapes…

Optics · Physics 2020-08-10 Zhiwei Guo , Haitao Jiang , Hong Chen

The interaction of a molecule with the quantized electromagnetic field of a nano-cavity gives rise to light-induced conical intersections between polaritonic potential energy surfaces. We demonstrate for a realistic model of a polyatomic…

Chemical Physics · Physics 2022-06-13 Csaba Fábri , Gábor J. Halász , Ágnes Vibók