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Volumn 78, Issue 3, 2008, Pages

Multiscale fluctuations near a Kondo breakdown quantum critical point

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EID: 47349112164     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.035109     Document Type: Article
Times cited : (52)

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    • Results for d=2 are discussed in Ref..
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    • In gauge theories of strongly interacting systems, the standard large N expansion is known to break down due to the presence of infrared singularities. As shown in Ref., the leading singularities can be controlled in an Eliashberg approach. Since our conclusions remain unchanged, in this paper, we ignore these technical complications.
    • In gauge theories of strongly interacting systems, the standard large N expansion is known to break down due to the presence of infrared singularities. As shown in Ref., the leading singularities can be controlled in an Eliashberg approach. Since our conclusions remain unchanged, in this paper, we ignore these technical complications.
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    • This marginal Fermi-liquid result is well known in related contexts; see, for instance, Refs..
    • This marginal Fermi-liquid result is well known in related contexts; see, for instance, Refs..
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    • As we showed in Sec. 4, Gaussian fluctuations about the mean-field solution generate a dispersion for the σ field. As a consequence of gauge invariance, this also implies a coupling between the σ and the gauge fields which leads to a back-flow current. From the point of view of an effective-field theory, where the σ fields are dressed, the constraint Jf,i =0 is generalized to Jf,i + Jσ,i =0 and leads to an additional contribution to the conductivity via the Ioffe-Larkin composition rules (Ref.). This contribution, though, is of order α and therefore does not change our findings, since α 1 (Ref.).
    • As we showed in Sec. 4, Gaussian fluctuations about the mean-field solution generate a dispersion for the σ field. As a consequence of gauge invariance, this also implies a coupling between the σ and the gauge fields which leads to a back-flow current. From the point of view of an effective-field theory, where the σ fields are dressed, the constraint Jf,i =0 is generalized to Jf,i + Jσ,i =0 and leads to an additional contribution to the conductivity via the Ioffe-Larkin composition rules (Ref.). This contribution, though, is of order α and therefore does not change our findings, since α1 (Ref.).
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    • Note that the z=2 modes make subleading contributions to all quantities but the crossover lines. They also make no contribution to the conduction-electron self-energy and transport due to kinematic constraints.
    • Note that the z=2 modes make subleading contributions to all quantities but the crossover lines. They also make no contribution to the conduction-electron self-energy and transport due to kinematic constraints.
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    • For spherical Fermi surfaces, as many ordering wave vectors as allowed by lattice symmetry will condense, each with a modulus of q0.
    • For spherical Fermi surfaces, as many ordering wave vectors as allowed by lattice symmetry will condense, each with a modulus of q0.


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