We study the Hall effect in a system of weakly coupled Luttinger Liquid chains, using a Memory function approach to compute the Hall constant in the presence of umklapp scattering along the chains. In this approximation, the Hall constant decomposes into two terms: a high-frequency term and a Memory function term. For the case of zero umklapp scattering, where the Memory function vanishes, the Hall constant is simply the band value, in agreement with former results in a similar model with no dissipation along the chains. With umklapp scattering along the chains, we find a power-law temperature dependance of the Hall constant. We discuss the applications to quasi 1D organic conductors at high temperatures.
Similar content being viewed by others
References
Jérome D. (2004). Chem. Rev. 104:5565
Schwartz A., Dressel M., Grüner G., Vescoli V., Degiorgi L., Giamarchi T. (1998). Phys. Rev. B 58:1261
Giamarchi T. (2004). Chem. Rev. 104:5037
Yakovenko V.M., Zheleznyak A.T. (2001). Synth. Met. 120:1083
A. Lopatin, A. Georges, and T. Giamarchi, Phys. Rev. B 63, 075109 (2001).
Moser J., Cooper J.R., Jérome D., Alavi B., Brown S., Bechgaard K. (2000). Phys. Rev. Lett. 84:2674
Mihaly G., Kezsmarsky I., Zamborsky F., Forro L. (2000). Phys. Rev. Lett. 84:2670
Giamarchi T. (2004). Quantum Physics in One Dimension. Oxford University Press, Oxford
Fick E., Sauermann G. (1990). The Quantum Statistics of Dynamic Processes. Springer, Berlin
Lange E. (1997). Phys. Rev. B 6:3907
G. León and T. Giamarchi, 2005, in preparation.
Giamarchi T. (1991). Phys Rev B 44:2905