2014
DOI: 10.1140/epjb/e2014-40894-9
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Anisotropic Dirac cones in monoatomic hexagonal lattices: a DFT study

Abstract: In the last few years, the fascinating properties of graphene have been thoroughly investigated. The existence of Dirac cones is the most important characteristic of the electronic band-structure of graphene. In this theoretical paper, hexagonal monolayers of silicon (h-Si) and germanium (h-Ge) are examined using density functional theory, within the generalized gradient approximation. Our numerical results indicate that both h-Si and h-Ge are chemically stable. The lattice parameters, electronic dispersion re… Show more

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Cited by 9 publications
(11 citation statements)
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“…Nevertheless, silicene exhibits excellent electronic properties [7][8][9][10][11][12][13][14][15] similar to those of graphene [16][17][18][19][20]. Its band structure exhibits a linear dispersion and shows characteristic massless Dirac fermions with the Fermi velocity of 10 5 -10 6 ms −1 [7,12,15]. Due to strong spin-orbit coupling, the quantum spin Hall effect may be observed in silicene in an experimentally accessible temperature regime [13].…”
Section: Introductionmentioning
confidence: 99%
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“…Nevertheless, silicene exhibits excellent electronic properties [7][8][9][10][11][12][13][14][15] similar to those of graphene [16][17][18][19][20]. Its band structure exhibits a linear dispersion and shows characteristic massless Dirac fermions with the Fermi velocity of 10 5 -10 6 ms −1 [7,12,15]. Due to strong spin-orbit coupling, the quantum spin Hall effect may be observed in silicene in an experimentally accessible temperature regime [13].…”
Section: Introductionmentioning
confidence: 99%
“…In contrast to flat graphene, silicene possesses a low-buckled structure with a buckled height of about 0.44 Å [7][8]. Nevertheless, silicene exhibits excellent electronic properties [7][8][9][10][11][12][13][14][15] similar to those of graphene [16][17][18][19][20]. Its band structure exhibits a linear dispersion and shows characteristic massless Dirac fermions with the Fermi velocity of 10 5 -10 6 ms -1 [7,12,15].…”
Section: Introductionmentioning
confidence: 99%
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“…[3,4] In spite of the low buckled geometry, silicene possesses outstanding electronic properties similar to those of graphene. [1][2][3][4][5][6][7][8][9][10][11] Most importantly, silicene is a zero-gap semiconductor with linear dispersion around Fermi level, forming the famous "Dirac cone" at the symmetric point K in the reciprocal space. The charge carriers in silicene behave like massless Dirac fermions in a small energy range around the Fermi level, with a Fermi velocity of 10 5 m/s-10 6 m/s, [3,8,11] comparable to that of graphene.…”
Section: Introductionmentioning
confidence: 99%
“…K K′ , described in Hartree-Fock and RPA [14], as well as when using the ab initio simulations [15] is the experimental fact [14].…”
Section: Introductionmentioning
confidence: 99%