Abstract
The thermoelectric power of a Luttinger liquid with a potential barrier is calculated. The long-range nature of electron–electron interaction is taken into account. It is shown that the increased interaction range changes the temperature dependence of the thermoelectric power qualitatively. At low temperatures, the Seebeck coefficient of a Luttinger liquid is considerably smaller than that of a one-dimensional Fermi gas. As the temperature increases, the thermoelectric power increases rapidly and can exceed that of a Fermi gas. The results obtained are in qualitative agreement with experimental data for quasi-one-dimensional 5-nm-thick InSb wires.
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REFERENCES
J. Voit, Rep. Prog. Phys. 58, 977 (1995).
T. Giamarchi, Quantum Physics in One Dimension (Oxford Univ. Press, Oxford, 2003).
C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. 76, 3192 (1996).
Y. V. Ivanov, J. Phys.: Condens. Matter 22, 245602 (2010).
I. V. Krive, E. N. Bogachek, A. G. Scherbakov, and U. Landman, Phys. Rev. B 63, 113101 (2001).
I. V. Krive, I. A. Romanovsky, E. N. Bogachek, A. G. Scherbakov, and U. Landman, Low Temp. Phys. 27, 821 (2001).
I. A. Romanovsky, I. V. Krive, E. N. Bogachek, and U. Landman, Phys. Rev. B 65, 075115 (2002).
R. Egger and H. Grabert, Phys. Rev. B 58, 10761 (1998).
K.-H. Yang, Y. Chen, H.-Y. Wang, and Y.-J. Wu, J. Low Temp. Phys. 167, 26 (2012).
P. Roura-Bas, L. Arrachea, and E. Fradkin, Phys. Rev. B 97, 081104(R) (2018).
G. S. Grest, Phys. Rev. B 14, 5114 (1976).
A. Theumann, Phys. Rev. B 15, 4524 (1977).
J. Voit, J. Phys.: Condens. Matter 5, 8305 (1993).
M. Fabrizio and A. O. Gogolin, Phys. Rev. B 51, 17827 (1995).
A. E. Mattson, S. Eggert, and H. Johannesson, Phys. Rev. B 56, 15615 (1997).
J. Bardeen, Phys. Rev. Lett. 6, 57 (1961).
H. Lin, J. M. C. Rauba, K. S. Thygesen, K. W. Jacohsen, M. Y. Simmons, and W. A. Hofer, Front. Phys. China 5, 369 (2010).
V. Meden, W. Metzner, U. Schollwöck, O. Schneider, T. Stauber, and K. Schönhammer, Eur. Phys. J. B 16, 631 (2000).
K. Schönhammer, V. Meden, W. Metzner, U. Schollwöck, and O. Gunnarsson, Phys. Rev. B 61, 4393 (2000).
G. D. Mahan, Many-Particle Physics, 3rd ed. (Kluwer Academic, Plenum, New York, 2000).
M. V. Vedernikov, O. N. Uryupin, B. M. Goltsman, Y. V. Ivanov, and Y. A. Kumzerov, Mater. Res. Soc. Symp. Proc. 691, G8.34.1 (2001).
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Translated by M. Skorikov
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Ivanov, Y.V., Uryupin, O.N. Thermoelectric Power of a Luttinger Liquid. Semiconductors 53, 641–646 (2019). https://doi.org/10.1134/S1063782619050075
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DOI: https://doi.org/10.1134/S1063782619050075