Phys. Rev. B 75, 195123 (2007) [6 pages]Hall effect in strongly correlated low-dimensional systemsReceived 13 February 2007; published 22 May 2007 We investigate the Hall effect in a quasi-one-dimensional system made of weakly coupled Luttinger liquids at half filling. Using a memory function approach, we compute the Hall coefficient as a function of temperature and frequency in the presence of umklapp scattering. We find a power-law correction to the free-fermion value (band value), with an exponent depending on the Luttinger parameter Kρ. At sufficiently high temperature or frequency, the Hall coefficient approaches the band value. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.195123
DOI:
10.1103/PhysRevB.75.195123
PACS:
71.27.+a, 71.10.Pm, 71.20.Rv
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