The Massless Dirac Equation in the Refrigerator

被引:4
|
作者
Cervero, Jose M. [1 ]
Diez, Enrique [1 ]
机构
[1] Univ Salamanca, Dept Fis Fundamental, Lab Bajas Temp, E-37008 Salamanca, Spain
关键词
Dirac equation; Klein paradox and QHE; Experimental graphene; KLEIN PARADOX; GRAPHENE; CARBON;
D O I
10.1007/s10773-010-0635-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss the physics of graphene, which has recently generated great excitement in both the experimental and the theoretical realms. From the theoretical side, the main novelty is that 2D-graphene obeys massless Dirac instead of massive Schrodinger equations. The Dirac equation has mainly been used for the description of the high-energy relativistic physics of electrons and photons. However, here we shall be dealing with electron transport at much lower energy and hence temperature. We also discuss the so-called Klein paradox that can actually be seen, doing away with its paradoxical status forever. The Quantum Hall Effect in graphene also exhibits surprising features related to the Dirac sea.
引用
收藏
页码:2134 / 2143
页数:10
相关论文
共 50 条
  • [21] Closed-form representations of iterated Darboux transformations for the massless Dirac equation
    Schulze-Halberg, Axel
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2021, 36 (8-9):
  • [22] Erratum to: Massless Dirac equation from Fibonacci discrete-time quantum walk
    Giuseppe Di Molfetta
    Lauchlan Honter
    Ben B. Luo
    Tatsuaki Wada
    Yutaka Shikano
    Quantum Studies: Mathematics and Foundations, 2015, 2 (3) : 253 - 254
  • [23] The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates
    Erdogan, M. Burak
    Goldberg, Michael
    Green, William R.
    JOURNAL OF SPECTRAL THEORY, 2021, 11 (03) : 935 - 979
  • [24] Local smoothing estimates for the massless Dirac-Coulomb equation in 2 and 3 dimensions
    Cacciafesta, Federico
    Sere, Eric
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (08) : 2339 - 2358
  • [25] Collective Modes of the Massless Dirac Plasma
    Das Sarma, S.
    Hwang, E. H.
    PHYSICAL REVIEW LETTERS, 2009, 102 (20)
  • [26] Quantum transport of massless dirac fermions
    Nomura, Kentaro
    MacDonald, A. H.
    PHYSICAL REVIEW LETTERS, 2007, 98 (07)
  • [27] Massless Dirac fermions in semimetal HgCdTe
    Marchewka, M.
    Grendysa, J.
    Zak, D.
    Tomaka, G.
    Sliz, P.
    Sheregii, E. M.
    SOLID STATE COMMUNICATIONS, 2017, 250 : 104 - 107
  • [28] Massless Dirac fermions in an electromagnetic field
    Jellal, Ahmed
    El Mouhafid, Abderrahim
    Daoud, Mohammed
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2012,
  • [29] Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
    Schulze-Halberg, Axel
    Ishkhanyan, Artur M.
    ANNALS OF PHYSICS, 2020, 421
  • [30] Darboux transformations for the massless Dirac equation with matrix potential: Construction of zero-energy states
    Axel Schulze-Halberg
    Mahmoud Ojel
    The European Physical Journal Plus, 134