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}
}
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… 

Figures from this paper

Beyond Particles: Unparticles in Strongly Correlated Electron Matter

I am concerned in these lectures with the breakdown of the particle concept in strongly correlated electron matter. I first show that the standard procedure for counting particles, namely Luttinger's

Scale invariance as the cause of the superconducting dome in the cuprates

Recent photoemission spectroscopy measurements (T. J. Reber et al., arXiv:1509.01611) of cuprate superconductors have inferred that the self-energy exhibits critical scaling over an extended doping

Unparticles and anomalous dimensions in the cuprates

A bstractMotivated by the overwhelming evidence some type of quantum criticality underlies the power-law for the optical conductivity and T−linear resistivity in the cuprates, we demonstrate here how

Scalar pseudo-Nambu-Goldstone boson in nuclei and dense nuclear matter

The notion that the scalar listed as $f_0 (500)$ in the particle data booklet is a pseudo-Nambu-Goldstone (NG) boson of spontaneously broken scale symmetry, explicitly broken by a small departure

Unparticle mediated superconductivity

In this work we introduce the possibility of unparticle mediated superconductivity. We discuss a theoretical scenario where it can emerge and show that a superconducting state is allowed by deriving

Colloquium : Fractional electromagnetism in quantum matter and high-energy physics

We present here a theory of fractional electro-magnetism which is capable of describing phenomenon as disparate as the non-locality of the Pippard kernel in superconductivity and anomalous dimensions

Landau Quasiparticles in Weak Power-Law Liquids

The failure of Landau-Fermi liquid theory is often considered a telltale sign of universal, scale-invariant behavior in the emergent field theory of interacting fermions. Nevertheless, there exist

POWER-LAW LIQUID IN HIGH-TEMPERATURE SUPERCONDUCTORS BY ZHIDONG LEONG DISSERTATION

Inspired by recent photoemission measurements, we demonstrate that the normal state of cuprate superconductors can be described by a power-law liquid, a state of matter with a power-law self-energy

Skyrmions and Fractional Quantum Hall Droplets Unified by Hidden Symmetries in Dense Matter

A chain of connections in compressed baryonic matter, up-to-date missing in nuclear effective field theory, between emergent symmetries of QCD, mesons-gluons dualities, vector meson dominance and

Non-Fermi-liquid superconductivity: Eliashberg approach versus the renormalization group

We address the problem of superconductivity for non-Fermi liquids using two commonly adopted, yet apparently distinct methods: 1) the renormalization group (RG) and 2) Eliashberg theory. The extent

References

SHOWING 1-10 OF 89 REFERENCES

Exact integration of the high energy scale in doped Mott insulators

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

Quantum phase transitions

Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as

Absence of Luttinger's theorem due to zeros in the single-particle Green function.

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

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

The AdS/CFT/Unparticle Correspondence

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

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

Unparticle physics.

TLDR
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

TLDR
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
...