Hall effect in strongly correlated low-dimensional systems | Zendy

Gladys León | Zendy; Christophe Berthod | Zendy; Thierry Giamarchi | Zendy

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Hall effect in strongly correlated low-dimensional systems

Author(s) -

Gladys León,

Christophe Berthod,

Thierry Giamarchi

Publication year - 2007

Publication title -

physical review b

Language(s) - English

Resource type - Journals

eISSN - 1538-4489

pISSN - 1098-0121

DOI - 10.1103/physrevb.75.195123

Subject(s) - hall effect , condensed matter physics , exponent , physics , scattering , function (biology) , quantum hall effect , luttinger liquid , power law , value (mathematics) , quantum mechanics , electrical resistivity and conductivity , mathematics , electron , statistics , philosophy , linguistics , evolutionary biology , biology

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

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