Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-01-05
Phys. Rev. Lett. 107, 017201 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 3 figures. Minor corrections and extra references in later versions
Scientific paper
10.1103/PhysRevLett.107.017201
Many quantum mechanical problems (such as dissipative phase fluctuations in metallic and superconducting nanocircuits, or impurity scattering in Luttinger liquids) involve a continuum of bosonic modes with a marginal spectral density diverging as the inverse of energy. We construct a Numerical Renormalization Group in this singular case, with a manageable violation of scale separation at high energy, capturing reliably the low energy physics. The method is demonstrated by a non-perturbative solution over several energy decades for the dynamical conductance of a Luttinger liquid with a single static defect.
Florens Serge
Freyn Axel
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