2012
DOI: 10.1088/0953-8984/24/27/275302
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Intrinsic contribution to spin Hall and spin Nernst effects in a bilayer graphene

Abstract: We consider intrinsic contributions to the spin Hall and spin Nernst effects in a bilayer graphene. The relevant electronic spectrum is obtained from the tight binding Hamiltonian, which also includes the intrinsic spin-orbit interaction. The corresponding spin Hall and spin Nernst conductivities are compared with those obtained from effective Hamiltonians appropriate for states in the vicinity of the Fermi level of a neutral bilayer graphene. Both conductivities are determined within the linear response theor… Show more

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Cited by 16 publications
(9 citation statements)
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References 46 publications
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“…[92] Since the effect was not only observed in metals, but later in magnetic insulators and semiconductors, [5,93] it became finally clear that the phenomenon is caused by magnons. [94,95] The main focus of this article is related to the spin Nernst effect (SNE) [96,81,97,53,98,99,100,54,84,85], which is the thermal analog to the intensively studied spin Hall effect (SHE) [101,102,103]. The fingerprint of both phenomena is a transverse spin current or spin accumulation.…”
Section: Introductionmentioning
confidence: 99%
“…[92] Since the effect was not only observed in metals, but later in magnetic insulators and semiconductors, [5,93] it became finally clear that the phenomenon is caused by magnons. [94,95] The main focus of this article is related to the spin Nernst effect (SNE) [96,81,97,53,98,99,100,54,84,85], which is the thermal analog to the intensively studied spin Hall effect (SHE) [101,102,103]. The fingerprint of both phenomena is a transverse spin current or spin accumulation.…”
Section: Introductionmentioning
confidence: 99%
“…Perpendicular electric field effects have been studied, both in graphene bilayers [8,9] as well as in graphene-like buckled systems [10][11][12] but, to our best knowledge, not for the GLNRs with in-plane edge magnetic moments. Figure 2 shows that perpendicular staggered voltage V suppresses edge magnetic moments quite strongly.…”
Section: Resultsmentioning
confidence: 99%
“…The spin Nernst conductivity in the low-temperature regime, however, is not universal and is correlated with the spin Hall conductivity according to Eq. Interestingly, the spin Nernst conductivity tends to zero when jmj ) 2g (Dyrdał and Barnaś, 2012). For instance, the spin Hall and spin Nernst conductivities of graphene due to Rashba spin-orbit interactions are shown in Figure 18.7.…”
Section: Spin Nernst Effectmentioning
confidence: 99%
“…The spin Nernst effect was studied theoretically (Lie and Xie, 2010;Tauber et al, 2012;Rothe et al, 2012;Dyrdał and Barnaś, 2012;Lyapilin, 2013;Borge et al, 2013) mainly in the low-temperature regime. Its behavior depends on the nature of spin-orbit interaction taken into account and is correlated with the zero-temperature spin Hall effect.…”
Section: Spin Nernst Effectmentioning
confidence: 99%