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A wide range of materials, like d-wave superconductors, graphene, and topological insulators, share a fundamental similarity: their low-energy fermionic excitations behave as massless Dirac particles rather than fermions obeying the usual…

材料科学 · 物理学 2014-08-27 T. O. Wehling , A. M. Black-Schaffer , A. V. Balatsky

The analogues of elementary particles have been extensively searched for in condensed matter systems because of both scientific interests and technological applications. Recently massless Dirac fermions were found to emerge as low energy…

材料科学 · 物理学 2017-05-08 Peizhe Tang , Quan Zhou , Gang Xu , Shou-Cheng Zhang

In a vicinity of the Fermi surface, graphene layers with bandgaps allow for closely simulating the vacuum of quantum electrodynamics and, thus, its yet unverified strong-field phenomenology with accessible field strengths. This striking…

介观与纳米尺度物理 · 物理学 2019-02-06 Ibrahim Akal , Reinhold Egger , Carsten Müller , Selym Villalba-Chávez

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…

量子气体 · 物理学 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Dirac semi-metals show a linear electronic dispersion in three dimension described by two copies of the Weyl equation, a theoretical description of massless relativistic fermions. At the surface of a crystal, the breakdown of fermion…

介观与纳米尺度物理 · 物理学 2016-08-25 Philip J. W. Moll , Nityan L. Nair , Tony Helm , Andrew C. Potter , Itamar Kimchi , Ashvin Vishwanath , James G. Analytis

Two-dimensional Dirac semimetal with tilted Dirac cone has recently attracted increasing interest. Tilt of Dirac cone can be realized in a number of materials, including deformed graphene, surface state of topological crystalline insulator,…

强关联电子 · 物理学 2018-11-21 Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

Dirac materials are characterized by energy-momentum relations that resemble those of relativistic massless particles. Commonly denominated Dirac cones, these dispersion relations are considered to be their essential feature. These…

介观与纳米尺度物理 · 物理学 2017-09-05 A. Diaz-Fernandez , L. Chico , J. W. Gonzalez , F. Dominguez-Adame

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…

介观与纳米尺度物理 · 物理学 2014-03-25 Oskar Vafek , Ashvin Vishwanath

Condensed matter systems provide a rich setting to realize Dirac and Majorana fermionic excitations and the possibility to manipulate them in materials for potential applications. Recently, it has been proposed that Weyl fermions, which are…

Low-energy fermionic excitations in two-dimensional materials deviate from the conventional Schr\"odinger description and are instead governed by Dirac equations. Such Dirac fermions give rise to a variety of unconventional quantum…

介观与纳米尺度物理 · 物理学 2026-05-14 Xiang Liua , Zheng Taoa , Wenchen Luoa , Tapash Chakraborty

We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime, focusing on a (1+1)-dimensional case in which the evolution of the scale factor is set by the equations of…

量子气体 · 物理学 2023-06-22 Carlos Fulgado-Claudio , Jose M. Sánchez Velázquez , Alejandro Bermudez

Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-trivial Berry phase play the pivotal role in the remarkable…

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

强关联电子 · 物理学 2026-05-21 Yuxuan Guo , Yuto Ashida

The recent experimental discovery of ${\rm Cd_3 As_2}$ and ${\rm Na_3 Bi}$ Dirac semimetals enables the study of the properties of chiral quasi-particles in three spatial dimensions. As demonstrated by photoemission, Dirac semimetals are…

介观与纳米尺度物理 · 物理学 2015-12-09 Dmitri E. Kharzeev , Robert D. Pisarski , Ho-Ung Yee

Semi-Dirac fermions are massless in one direction and massive in the perpendicular directions. Such quasiparticles have been proposed in various contexts in condensed matter. Using first principles calculations, we identify a pair of…

材料科学 · 物理学 2025-11-13 Alaska Subedi , Kamran Behnia

We study the emergence of Dirac fermionic field in the low energy description of non-relativistic dynamical models on graphs admitting continuum limit. The Dirac fermionic field appears as the effective field describing the excitations…

高能物理 - 理论 · 物理学 2015-06-03 Corneliu Sochichiu

Searching for new states of matter and unusual quasiparticles in emerging materials and especially low-dimensional systems is one of the major trends in contemporary condensed matter physics. Dirac materials, which host quasiparticles which…

介观与纳米尺度物理 · 物理学 2017-10-13 C. A. Downing , M. E. Portnoi

Discrete fermionic and bosonic models for hyperbolic lattices have attracted significant attention across a range of fields since the experimental realization of hyperbolic lattices in metamaterial platforms, sparking the development of…

介观与纳米尺度物理 · 物理学 2025-07-14 Ana Djordjević , Marija Dimitrijević Ćirić , Vladimir Juričić

Topological phases arise from the elegant mathematical structures imposed by the interplay between symmetry and topology1-5. From gapped topological insulators to gapless semimetals, topological materials in both quantum and classical…

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

介观与纳米尺度物理 · 物理学 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh
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