Hall effect in strongly correlated low dimensional systems

Abstract

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 $K_{\rho }$. At high enough temperature or frequency the Hall coefficient approaches the band value.

7 pages, 3 figures

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• Hall effect on the triangular lattice
• Stoichiometry, structure, and transport in the quasi-one-dimensional metal, Li(0.9)Mo(6)O(17)
• Hall response in interacting bosonic and fermionic ladders
• Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Hall response of locally correlated two-dimensional electrons at low density
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