Thermopower of a graphene monolayer with inhomogeneous spin-orbit interaction

M. I.  Alomar; David  Sánchez

doi:10.3934/proc.2015.0001

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2015, 2015(special): 1-9. doi: 10.3934/proc.2015.0001

Thermopower of a graphene monolayer with inhomogeneous spin-orbit interaction

M. I. Alomar ^1, and David Sánchez ^1,

1.	Institut de Física Interdisciplinària i Sistemes Complexos IFISC (UIB-CSIC), E-07122 Palma de Mallorca, Spain, Spain

Received September 2014 Revised July 2015 Published November 2015

Abstract
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Under a Creative Commons license

We consider a single layer of graphene with a Rashba spin-orbit coupling localized in the central region. Generally, a spin-orbit interaction induces a spin splitting and modifies the band structure of graphene, opening a gap between the two sublattices. We investigate the transport properties within the scattering approach and calculate the linear electric and thermoelectric conductances. We observe a weak dependence of the electric conductance with both the length of the spin-orbit region and the Rashba strength. Strikingly, the thermoelectric conductance is much more sensitive to variations of these two parameters. Our results are relevant in view of recent developments that emphasize thermoelectric effects in graphene.

Keywords: thermoelectric conductance., thermopower, Rashba spin-orbit coupling, scattering approach, Graphene.

Mathematics Subject Classification: Primary: 82D80, 82D37; Secondary: 81U1.

Citation: M. I. Alomar, David Sánchez. Thermopower of a graphene monolayer with inhomogeneous spin-orbit interaction. Conference Publications, 2015, 2015 (special) : 1-9. doi: 10.3934/proc.2015.0001

References:

[1]	A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys., 81 (2009), 109.
[2]	M. I. Alomar and D. Sánchez, Thermoelectric effects in graphene with local spin-orbit interaction, Phys. Rev. B, 89 (2014), 115422.
[3]	C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett., 95 (2005), 226802.
[4]	D. Dragoman and M. Dragoman, Giant thermoelectric effect in graphene, Appl. Phys. Lett., 91 (2007), 2203116.
[5]	Y. M. Zuev, W. Chang, and P. Kim, Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene, Phys. Rev. Lett., 102 (2009), 096807.
[6]	P. Wei, W. Bao, Y. Pu, C.N. Lau, and J. Shi, Anomalous Thermoelectric Transport of Dirac Particles in Graphene, Phys. Rev. Lett., 102 (2009), 166808.
[7]	H. Sevincli and G. Cuniberti, Enhanced thermoelectric figure of merit in edge-disordered zigzag graphene nanoribbons, Phys. Rev. B, 81 (2010), 113401 .
[8]	N. M. Gabor, J. C.W. Song, Q. Ma, N. L. Nair, T. Taychatanapat, K. Watanabe, T. Taniguchi, L. S. Levitov, and P. Jarillo-Herrero, Hot Carrier Assisted Intrinsic Photoresponse in Graphene, Science, 334 (2011), 648.
[9]	M. Freitag, T. Low, and P. Avouris, Increased Responsivity of Suspended Graphene Photodetectors, Nano Lett., 13 (2013), 1644.
[10]	A. Varykhalov, J. Sanchez-Barriga, A. M. Shikin, C. Biswas, E. Vescovo, A. Rybkin, D. Marchenko, and O. Rader, Electronic and Magnetic Properties of Quasifreestanding Graphene on Ni, Phys. Rev. Lett., 101 (2008), 157601.
[11]	Yu. S. Dedkov, M. Fonin, U. Rüdiger, and C. Laubschat, Rashba Effect in the Graphene/Ni(111) System, Phys. Rev. Lett., 100 (2008), 107602.
[12]	M. Cultier and N.F. Mott, Observation of Anderson Localization in an Electron Gas, Phys. Rev., 181 (1969), 181.
[13]	L. Chico, A. Latgé, and L. Brey, Symmetries of quantum transport with Rashba spinorbit: graphene spintronics, Phys. Chem. Chem. Phys., 17 (2015), 16469.
[14]	B. Z. Rameshti and A. G. Moghaddam, Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene, Phys. Rev. B, 91, (2015), 155407.
[15]	Z. P. Niu and S. Dong, Valley and spin thermoelectric transport in ferromagnetic silicene junctions, Appl. Phys. Lett., 104 (2014), 202401.
[16]	M. I. Alomar, L. Serra, and D. Sánchez, Seebeck effects in two-dimensional spin transistors, Phys. Rev. B, 91 (2015), 075418.

show all references

References:

[1]	A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys., 81 (2009), 109.
[2]	M. I. Alomar and D. Sánchez, Thermoelectric effects in graphene with local spin-orbit interaction, Phys. Rev. B, 89 (2014), 115422.
[3]	C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett., 95 (2005), 226802.
[4]	D. Dragoman and M. Dragoman, Giant thermoelectric effect in graphene, Appl. Phys. Lett., 91 (2007), 2203116.
[5]	Y. M. Zuev, W. Chang, and P. Kim, Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene, Phys. Rev. Lett., 102 (2009), 096807.
[6]	P. Wei, W. Bao, Y. Pu, C.N. Lau, and J. Shi, Anomalous Thermoelectric Transport of Dirac Particles in Graphene, Phys. Rev. Lett., 102 (2009), 166808.
[7]	H. Sevincli and G. Cuniberti, Enhanced thermoelectric figure of merit in edge-disordered zigzag graphene nanoribbons, Phys. Rev. B, 81 (2010), 113401 .
[8]	N. M. Gabor, J. C.W. Song, Q. Ma, N. L. Nair, T. Taychatanapat, K. Watanabe, T. Taniguchi, L. S. Levitov, and P. Jarillo-Herrero, Hot Carrier Assisted Intrinsic Photoresponse in Graphene, Science, 334 (2011), 648.
[9]	M. Freitag, T. Low, and P. Avouris, Increased Responsivity of Suspended Graphene Photodetectors, Nano Lett., 13 (2013), 1644.
[10]	A. Varykhalov, J. Sanchez-Barriga, A. M. Shikin, C. Biswas, E. Vescovo, A. Rybkin, D. Marchenko, and O. Rader, Electronic and Magnetic Properties of Quasifreestanding Graphene on Ni, Phys. Rev. Lett., 101 (2008), 157601.
[11]	Yu. S. Dedkov, M. Fonin, U. Rüdiger, and C. Laubschat, Rashba Effect in the Graphene/Ni(111) System, Phys. Rev. Lett., 100 (2008), 107602.
[12]	M. Cultier and N.F. Mott, Observation of Anderson Localization in an Electron Gas, Phys. Rev., 181 (1969), 181.
[13]	L. Chico, A. Latgé, and L. Brey, Symmetries of quantum transport with Rashba spinorbit: graphene spintronics, Phys. Chem. Chem. Phys., 17 (2015), 16469.
[14]	B. Z. Rameshti and A. G. Moghaddam, Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene, Phys. Rev. B, 91, (2015), 155407.
[15]	Z. P. Niu and S. Dong, Valley and spin thermoelectric transport in ferromagnetic silicene junctions, Appl. Phys. Lett., 104 (2014), 202401.
[16]	M. I. Alomar, L. Serra, and D. Sánchez, Seebeck effects in two-dimensional spin transistors, Phys. Rev. B, 91 (2015), 075418.

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