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Critical fermi surfaces and non-fermi liquid metals

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 Added by T. Senthil
 Publication date 2008
  fields Physics
and research's language is English
 Authors T. Senthil




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At certain quantum critical points in metals an entire Fermi surface may disappear. A crucial question is the nature of the electronic excitations at the critical point. Here we provide arguments showing that at such quantum critical points the Fermi surface remains sharply defined even though the Landau quasiparticle is absent. The presence of such a critical Fermi surface has a number of consequences for the universal phenomena near the quantum critical point which are discussed. In particular the structure of scaling of the universal critical singularities can be significantly modified from more familiar criticality. Scaling hypotheses appropriate to a critical fermi surface are proposed. Implications for experiments on heavy fermion critical points are discussed. Various phenomena in the normal state of the cuprates are also examined from this perspective. We suggest that a phase transition that involves a dramatic reconstruction of the Fermi surface might underlie a number of strange observations in the metallic states above the superconducting dome.



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We study the emergence of non-Fermi liquid on heterostructure interfaces where there exists an infinite number of critical boson modes in two spatial dimensions for the magnetic fluctuations. At the interface, the interfacial Dzyaloshinskii-Moriya interaction naturally emerges in the magnetic interactions due to the absence of the inversion symmetry. The interfacial Dzyaloshinskii-Moriya interaction gives rise to a degenerate contour for the low-energy bosonic modes in the momentum space, which simultaneously becomes critical approaching the magnetic phase transition. The presence of the critical boson contour leads to a divergence in the dynamical magnetic susceptibility. The itinerant electrons are scattered by the critical boson contour and develop non-Fermi liquid behaviors. With a self-consistent renormalization calculation, we uncover a prominent non-Fermi liquid behavior in the resistivity with a characteristic temperature scaling power. These results set another possibility for the boson-fermion coupled problems and the fermion criticality.
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