Numerical renormalization group at marginal spectral density: application to tunneling in Luttinger liquids.
Physical review letters(2011)
摘要
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 nonperturbative solution over several energy decades for the dynamical conductance of a Luttinger liquid with a single static defect.
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关键词
spectral density,composite fermion,quantum mechanics,kondo effect,quantum wire,heavy fermion,luttinger liquid
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