Chin. Phys. Lett.  2012, Vol. 29 Issue (1): 010304    DOI: 10.1088/0256-307X/29/1/010304
GENERAL |
Chiral Fermion Conductivity in Graphene-Like Samples Subjected to Orthogonal Fields
Ciprian Dariescu, Marina-Aura Dariescu**
Faculty of Physics, Alexandru Ioan Cuza University of Iaşi, Bd. Carol I No. 11, 700506 Iaşi, Romania
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Ciprian Dariescu, Marina-Aura Dariescu 2012 Chin. Phys. Lett. 29 010304
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Abstract Starting with the U(1)−gauge covariant four-dimensional Dirac equation, we derive the analytic solutions describing the chiral massless fermions evolving in static orthogonal magnetic and electric fields. Working in cylindric coordinates, we compute the electric current density essential component and the off-diagonal conductivities. By summing up the conductivities of the two distinct species of electrons connected to the orientation of spin, the well-known 4n-quantization law is restored.
Keywords: 03.65.-w      11.10.-z      11.15.-q     
Received: 16 September 2011      Published: 07 February 2012
PACS:  03.65.-w (Quantum mechanics)  
  11.10.-z (Field theory)  
  11.15.-q (Gauge field theories)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/1/010304       OR      https://cpl.iphy.ac.cn/Y2012/V29/I1/010304
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Ciprian Dariescu
Marina-Aura Dariescu
[1] Wellington da Cruz 2003 Chaos, Solitons and Fractals 17 975
Georgiev L S 2004 Phys. Rev. B 69 085305
Castro Neto A H et al 2009 Rev. Mod. Phys. 81 109
[2] Novoselov K S et al 2006 Nature Phys. 2 177
[3] Gusynin V P and Sharapov S G 2006 Phys. Rev. B 73 245411
[4] Beneventano C G and Santangelo E M 2008 J. Phys. A 41 164035
[5] Creutz M 2008 J. High Eerngy Phys. 0804 017
Mecklenburg M, Woo J and Regan B C 2010 Phys. Rev. B 81 245401
[6] Dariescu M A, Dariescu C and Murariu G 2006 Chaos, Solitons and Fractals 28 1
Dariescu M A and Dariescu C 2007 J. Phys.: Condens Matter 19 256203
[7] Novoselov K S et al 2005 Nature 438 197
[8] Jackiw R and Pi S Y Arxiv:0808.1562[cond-mat]
[9] Zhang Y et al 2005 Nature 438 201
[10] Romanovsky I, Yannouleas C and Landman U 2009 Phys. Rev. B 79 075311
[11] Jain J K 2007 Composite Fermions (Cambridge: Cambridge Univ Press)
Yannouleas C and Landman U 2007 Rep. Prog. Phys. 70 2067
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