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2013

Non-Fermi liquid behavior of large N_B quantum critical metals

Fitzpatrick, A. Liam, Kachru, Shamit, Kaplan, Jared et al.

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The problem of continuous quantum phase transitions in metals involves critical bosons coupled to a Fermi surface.

We solve the theory in the limit of a large number, N_B, of bosonic flavors, where the bosons transform in the adjoint representation, while the fermions are in the fundamental representation of a global SU(N_B) flavor symmetry group.
The leading large N_B solution corresponds to a non-Fermi liquid coupled to Wilson-Fisher bosons.
In a certain energy range, the fermion velocity vanishes - resulting in the destruction of the Fermi surface.

Non-Fermi liquid behavior of large N_B quantum critical metals · Around

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Note that the anomalous dimension is larger by a factor of 2 at large N B N_{B} than at N B = 1 N_{B}=1 . This is because the vertex correction is non-planar and does not contribute at large N B N_{B}

Cited in the paper.

A. L. Fitzpatrick, S. Kachru, J. Kaplan, S. Kivelson, and S. Raghu, Manuscript in preparation

Cited in the paper.

The function F F can and often does also have dependence on positive powers of k F E i \frac{k_{F}}{E_{i}} , which also causes breakdown of perturbation theory for sufficiently small E i / k F E_{i}/k_{F} . However, such terms have a characteristic scale \mathaccentV b a r 016 E \mathaccentV{bar}016{E} below which they are large but far above which they are small and can be neglected. This is in contrast to l o g ⁡ ( E i / k F ) \mathop{log}\nolimits(E_{i}/k_{F}) terms, which vary equally over every change in scale

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2013

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