# 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…

## 26 Citations

Beyond Particles: Unparticles in Strongly Correlated Electron Matter

- Physics
- 2015

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

- PhysicsPhysical Review B
- 2018

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

- Physics
- 2015

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…

Unparticle mediated superconductivity

- Physics
- 2014

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…

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

- Physics
- 2015

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…

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

- Physics, MathematicsReviews of Modern Physics
- 2019

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…

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

- 2018

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…

A unified form of low-energy nodal electronic interactions in hole-doped cuprate superconductors

- Physics, MedicineNature Communications
- 2019

The authors show that a doping-dependent power law ansatz for the electronic scattering phenomenologically captures ARPES, transport and optics observations and breaks the direct link to the pseudogapping of antinodal spectral weight observed at similar temperature scales and gives an alternative direction for searches of the microscopic mechanism.

Holographic Quantum Matter

- Physics
- 2018

We present a review of theories of states of quantum matter without quasiparticle excitations. Solvable examples of such states are provided through a holographic duality with gravitational theories…

Skyrmion / FQH-Droplet Dichotomy and Vector Mesons as Chern-Simons Fields in Dense Matter

- 2021

A chain of connections in compressed baryonic matter, up-to-date glaringly missing in nuclear effective field theory, between intrinsic or emergent symmetries of QCD, mesons-gluons dualities, vector…

## 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.

- Physics, MedicinePhysical 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…

The AdS/CFT/Unparticle Correspondence

- 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

- Physics
- 2007

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.

- Physics, MedicinePhysical review letters
- 2007

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

- Physics
- 2012

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, MedicineNature
- 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

- Physics
- 2010

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…