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We study the quasiparticle properties of two-dimensional massless Dirac Fermions when the many-body states possess a finite momentum density in the clean limit. The lack of Galilean invariance endows the many-body states at finite momentum…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Inti Sodemann

We report on terahertz high-harmonic generation in a Dirac semimetal as a function of the driving-pulse ellipticity and on a theoretical study of the field-driven intraband kinetics of massless Dirac fermions.Very efficient control of…

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

We explore an unusual type of quantum matter that can be realized by qubits having different physical origin. Interactions in this matter are described by essentially different coupling operators for all qubits. We show that at least the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 V. Y. Chernyak , N. A. Sinitsyn , C. Sun

The Dirac equation is a cornerstone in the history of physics, merging successfully quantum mechanics with special relativity, providing a natural description of the electron spin and predicting the existence of anti-matter. Furthermore, it…

Quantum Physics · Physics 2010-01-08 R. Gerritsma , G. Kirchmair , F. Zähringer , E. Solano , R. Blatt , C. F. Roos

We theoretically establish that non-Hermitian perturbations induce a topological transformation of point-like Dirac monopoles into extended monopole distributions, characterized by distinct charge configurations emergent from three distinct…

Quantum Physics · Physics 2025-09-18 Haiyang Yu , Tao Jiang , Li-Chen Zhao

In QCD chiral symmetry is explicitly broken by quark masses, the effect of which can be described reliably by chiral perturbation theory. Effects of explicit chiral symmetry breaking by the lattice regularisation of the Dirac operator,…

High Energy Physics - Lattice · Physics 2011-01-27 Nigel Cundy , Tony Kennedy , Andreas Schäfer

We investigate the quantum motion of a neutral Dirac particle bouncing on a mirror in curved spacetime. We consider different geometries: Rindler, Kasner-Taub and Schwarzschild, and show how to solve the Dirac equation by using geometrical…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Boulanger , Fabien Buisseret , Philippe Spindel

Dirac cloud is in absence in general relativity since the superradiance mechanism fails to work for Dirac fields. For the first time we find a novel mechanism to support Dirac clouds, which is independent on superradiance mechanism. We…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Yang Huang , Hongsheng Zhang

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

Motivated by recent examples of three-dimensional lattice Hamiltonians with massless Dirac fermions in their (bulk) spectrum, I revisit the problem of fermion doubling on bipartite lattices. The number of components of the Dirac fermion in…

Mesoscale and Nanoscale Physics · Physics 2011-08-11 Igor F. Herbut

According to the atomic principle an elementary particle has no excited states and under any interaction, if it is not annihilated, its internal structure cannot be modified. The intrinsic properties are the mass $m$ and the absolute value…

Classical Physics · Physics 2026-03-04 Martin Rivas

Recent progress in optomechanical systems may soon allow the realization of optomechanical arrays, i.e. periodic arrangements of interacting optical and vibrational modes. We show that photons and phonons on a honeycomb lattice will produce…

Mesoscale and Nanoscale Physics · Physics 2015-08-06 M. Schmidt , V. Peano , F. Marquardt

Differential geomtrical methods for deriving the Dirac equation in Curved Spacetime are presented. Einstein's field equation is applied in a novel manner; in the most current standard reference, Birrell and Davies, 1994 [1], the suggestions…

Mathematical Physics · Physics 2007-05-23 Joseph Saaty

Massless Dirac fermions occur as low-energy modes in several quasi-two-dimensional condensed matter systems such as graphene, the surface of bulk topological insulators, and in layered organic semiconductors. When the rotational symmetry in…

Mesoscale and Nanoscale Physics · Physics 2015-07-27 Judit Sári , Mark O. Goerbig , Csaba Toke

The dynamics of wave packets in a relativistic Dirac oscillator is compared to that of the Jaynes-Cummings model. The strong spin-orbit coupling of the Dirac oscillator produces the entanglement of the spin with the orbital motion similar…

Quantum Physics · Physics 2008-11-26 P. Rozmej , R. Arvieu

Although originally predicted in relativistic quantum mechanics, Zitterbewegung can also appear in some classical systems, which leads to the important question of whether Zitterbewegung of Dirac particles is underlain by a more fundamental…

Quantum Physics · Physics 2023-10-12 Wen Ning , Ri-Hua Zheng , Yan Xia , Kai Xu , Hekang Li , Dongning Zheng , Heng Fan , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

When two or more energy bands become degenerate at a singular point in the momentum space, such singularity, or ``Dirac points", gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points…

Quantum Gases · Physics 2025-09-09 Yunda Li , Wei Han , Zengming Meng , Wenxin Yang , Cheng Chin , Jing Zhang

A parity invariant theory, consisting of two massive Dirac fields, defined in three dimensional space-time, with the confinement of a certain current is studied. It is found that the electromagnetic field, when coupled minimally to these…

High Energy Physics - Theory · Physics 2017-07-26 Vivek M. Vyas , Prasanta K. Panigrahi

Presented is a quantum lattice gas algorithm to efficiently model a system of Dirac particles interacting through an intermediary gauge field. The algorithm uses a fixed qubit array to represent both the spacetime and the particles…

Quantum Physics · Physics 2017-02-01 Jeffrey Yepez