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Hall effect in quasi one-dimensional organic conductors. Gladys León (Geneva) Thierry Giamarchi (Geneva) September 2005. Organic Conductors. Bechgaard salts Quasi-1D ¼ filled Dimerization. t a > t b > t c 3000 K, 300 K, 20 K. Chem. Rev. 104, 2004. Hall measurements. (TMTSF) 2 PF 6.
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Hall effect in quasi one-dimensional organic conductors Gladys León (Geneva) Thierry Giamarchi (Geneva) September 2005
Organic Conductors • Bechgaard salts • Quasi-1D • ¼ filled • Dimerization ta > tb > tc 3000 K, 300 K, 20 K Chem. Rev. 104, 2004.
Hall measurements (TMTSF)2PF6 G. Mihály et al., Phys. Rev. Lett, 12 (2000) J. Moser et al., Phys. Rev. Lett, 12 (2000)
z y x H Perfect conductors Previous results • Lopatin et al. ,Phys. Rev. B 63, 075109 (2001) . Weakly coupled Luttinger liquids.
E 1 3 2 4 k g3 Model • We consider the chains as commensurate systems (half filled) • Weakly coupled Luttinger liquids with umklapp scattering
1 Memory function approach • We study the Hall effect using a Memory function approach E. Lange, PRB 55, 3907 (1997)
No interactions Repulsive interactions For small g3 or Large Temp: Results • Hall constant
Consequences • Need for Hall effects measurement in ½ filled compounds • ½ filled (TTM-TTP)I3 ? • Calculation of the Hall constant for ¼ filled.
Hall effect in ¼ filled compounds ? G. Mihály et al., Phys. Rev. Lett, 12 (2000) J. Moser et al., Phys. Rev. Lett, 12 (2000)
Conclusions • We study the Hall effect in weakly coupled Luttinger liquids using a Memory function approach • We obtained a power law dependence on T for RH in the ½ filled case • The next step should be the ¼ filled case to compare with experiments. • More measurement on the Hall effect in quasi 1D systems are needed.
