American Institute of Mathematical Sciences

Advanced
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

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. Google Scholar

[2]

M. I. Alomar and D. Sánchez, Thermoelectric effects in graphene with local spin-orbit interaction, Phys. Rev. B, 89 (2014), 115422. Google Scholar

[3]

C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett., 95 (2005), 226802. Google Scholar

[4]

D. Dragoman and M. Dragoman, Giant thermoelectric effect in graphene, Appl. Phys. Lett., 91 (2007), 2203116. Google Scholar

[5]

Y. M. Zuev, W. Chang, and P. Kim, Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene, Phys. Rev. Lett., 102 (2009), 096807. Google Scholar

[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. Google Scholar

[7]

H. Sevincli and G. Cuniberti, Enhanced thermoelectric figure of merit in edge-disordered zigzag graphene nanoribbons, Phys. Rev. B, 81 (2010), 113401 . Google Scholar

[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. Google Scholar

[9]

M. Freitag, T. Low, and P. Avouris, Increased Responsivity of Suspended Graphene Photodetectors, Nano Lett., 13 (2013), 1644. Google Scholar

[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. Google Scholar

[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. Google Scholar

[12]

M. Cultier and N.F. Mott, Observation of Anderson Localization in an Electron Gas, Phys. Rev., 181 (1969), 181. Google Scholar

[13]

L. Chico, A. Latgé, and L. Brey, Symmetries of quantum transport with Rashba spinorbit: graphene spintronics, Phys. Chem. Chem. Phys., 17 (2015), 16469. Google Scholar

[14]

B. Z. Rameshti and A. G. Moghaddam, Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene, Phys. Rev. B, 91, (2015), 155407. Google Scholar

[15]

Z. P. Niu and S. Dong, Valley and spin thermoelectric transport in ferromagnetic silicene junctions, Appl. Phys. Lett., 104 (2014), 202401. Google Scholar

[16]

M. I. Alomar, L. Serra, and D. Sánchez, Seebeck effects in two-dimensional spin transistors, Phys. Rev. B, 91 (2015), 075418. Google Scholar

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. Google Scholar

[2]

M. I. Alomar and D. Sánchez, Thermoelectric effects in graphene with local spin-orbit interaction, Phys. Rev. B, 89 (2014), 115422. Google Scholar

[3]

C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett., 95 (2005), 226802. Google Scholar

[4]

D. Dragoman and M. Dragoman, Giant thermoelectric effect in graphene, Appl. Phys. Lett., 91 (2007), 2203116. Google Scholar

[5]

Y. M. Zuev, W. Chang, and P. Kim, Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene, Phys. Rev. Lett., 102 (2009), 096807. Google Scholar

[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. Google Scholar

[7]

H. Sevincli and G. Cuniberti, Enhanced thermoelectric figure of merit in edge-disordered zigzag graphene nanoribbons, Phys. Rev. B, 81 (2010), 113401 . Google Scholar

[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. Google Scholar

[9]

M. Freitag, T. Low, and P. Avouris, Increased Responsivity of Suspended Graphene Photodetectors, Nano Lett., 13 (2013), 1644. Google Scholar

[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. Google Scholar

[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. Google Scholar

[12]

M. Cultier and N.F. Mott, Observation of Anderson Localization in an Electron Gas, Phys. Rev., 181 (1969), 181. Google Scholar

[13]

L. Chico, A. Latgé, and L. Brey, Symmetries of quantum transport with Rashba spinorbit: graphene spintronics, Phys. Chem. Chem. Phys., 17 (2015), 16469. Google Scholar

[14]

B. Z. Rameshti and A. G. Moghaddam, Spin-dependent Seebeck effect and spin caloritronics in magnetic graphene, Phys. Rev. B, 91, (2015), 155407. Google Scholar

[15]

Z. P. Niu and S. Dong, Valley and spin thermoelectric transport in ferromagnetic silicene junctions, Appl. Phys. Lett., 104 (2014), 202401. Google Scholar

[16]

M. I. Alomar, L. Serra, and D. Sánchez, Seebeck effects in two-dimensional spin transistors, Phys. Rev. B, 91 (2015), 075418. Google Scholar

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