Un-Fermi liquids: Unparticles in strongly correlated electron matter

@article{Phillips2013UnFermiLU,
title={Un-Fermi liquids: Unparticles in strongly correlated electron matter},
author={Philip W. Phillips and Brandon W. Langley and Jimmy A. Hutasoit},
journal={Physical Review B},
year={2013},
volume={88},
pages={115129}
}
• Published 30 April 2013
• Physics
• Physical Review B
Since any non-trivial infrared dynamics in strongly correlated electron matter must be controlled by a critical fixed point, we argue that the form of the single-particle propagator can be deduced simply by imposing scale invariance. As a consequence, the unparticle picture proposed by Georgi\cite{georgi} is the natural candidate to describe such dynamics. Unparticle stuff is scale-invariant matter with no particular mass. Scale invariance dictates that the propagator has an algebraic form…
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References

SHOWING 1-10 OF 47 REFERENCES
Exact integration of the high energy scale in doped Mott insulators
• Physics
• 2008
We expand on our earlier work [R. G. Leigh , Phys. Rev. Lett. 99, 46404 (2007)] in which we constructed the exact low energy theory of a doped Mott insulator by explicitly integrating (rather than
Absence of Luttinger's theorem due to zeros in the single-particle Green function.
• Mathematics
Physical review letters
• 2013
We show exactly with an SU(N) interacting model that even if the ambiguity associated with the placement of the chemical potential, μ, for a T=0 gapped system is removed by using the unique value
Theory of the Luttinger surface in doped Mott insulators
• Physics
• 2007
We prove that the Mott insulating state is characterized by a divergence of the electron self-energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is
• Physics
• 2009
We examine the correspondence between the anti-de Sitter (AdS) description of conformal field theories (CFTs) and the unparticle description of CFTs. We show how unparticle actions are equivalent to
Towards the standard model for Fermi arcs from a Wilsonian reduction of the Hubbard model
• Physics
• 2012
Two remarkable features emerge from the exact Wilsonian procedure for integrating out the high-energy scale in the Hubbard model. At low energies, the number of excitations that couple minimally to
Deconstruction of unparticles
We discuss properties of hypothetical scale invariant (unparticle) matter by viewing it as a tower of massive particles. We show how peculiar properties of unparticles emerge in the limit when the
Unparticle physics.
It is found that in the appropriate low-energy limit, unparticle stuff with scale dimension dU looks like a nonintegral number dU of invisible particles, so dramatic evidence for a nontrivial scale invariant sector could show up experimentally in missing energy distributions.
Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions
The definition of topological invariants $\tilde{\cal N}_4, \tilde{\cal N}_5$ suggested in \cite{VZ2012} is extended to the case, when there are zeros and poles of the Green function in momentum
Quantum critical behaviour in a high-Tc superconductor
• Physics
Nature
• 2003
It is demonstrated that the experimentally measured phase angle agrees precisely with the exponent of the optical conductivity, which points towards a quantum phase transition of an unconventional kind in the high-Tc superconductors.
Colloquium: Identifying the propagating charge modes in doped Mott insulators
High-temperature superconductivity in the copper-oxide ceramics remains an unsolved problem because we do not know what the propagating degrees of freedom are in the normal state. As a result, we do