# Ultraviolet/infrared mixing in non-Fermi liquids

@article{Mandal2015UltravioletinfraredMI, title={Ultraviolet/infrared mixing in non-Fermi liquids}, author={Ipsita Mandal and Sung-Sik Lee}, journal={Physical Review B}, year={2015}, volume={92}, pages={035141} }

We study low-energy effective field theories for non-Fermi liquids with Fermi surfaces of general dimensions and co-dimensions. When the dimension of Fermi surface is greater than one, low-energy particle-hole excitations remain strongly coupled with each other across the entire Fermi surface. In this case, even the observables that are local in the momentum space (such as the Green's functions) become dependent on the size of the Fermi surface in singular ways, resulting in a UV/IR mixing. By…

## 31 Citations

Ultraviolet-Infrared Mixing in Marginal Fermi Liquids.

- PhysicsPhysical review letters
- 2022

When Fermi surfaces (FSs) are subject to long-range interactions that are marginal in the renormalization-group sense, Landau Fermi liquids are destroyed, but only barely. With the interaction…

UV/IR mixing in non-Fermi liquids: higher-loop corrections in
different energy ranges

- Physics
- 2016

Abstract
We revisit the Ising-nematic quantum critical point with an m-dimensional Fermi surface
by applying a dimensional regularization scheme, introduced in [I. Mandal, S.S. Lee, Phys.
Rev. B 92,…

Non-Fermi liquid at the FFLO quantum critical point

- PhysicsPhysical Review B
- 2018

When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further…

Aspects of Renormalization in Finite Density Field Theory

- Physics
- 2015

We study the renormalization of the Fermi surface coupled to a massless boson near three spatial dimensions. For this, we set up a Wilsonian RG with independent decimation procedures for bosons and…

Zero Sound and Plasmon Modes for Non-Fermi Liquids

- PhysicsSSRN Electronic Journal
- 2022

We derive the quantum Boltzmann equation (QBE) by using generalized Landau-interaction parameters, obtained through the nonequilibrium Green’s function technique. This is a generalization of the…

A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

- Physics
- 2017

We study a model in 1+2 dimensions composed of a spherical Fermi surface of Nf flavors of fermions coupled to a massless scalar. We present a framework to non-perturbatively calculate general fermion…

Instabilities of quantum critical metals in the limit N f → 0

- Physics
- 2021

We study a model in 2+1 dimensions composed of a Fermi surface of N f flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The N f → 0 limit allows us to…

Noncommutativity between the low-energy limit and integer dimension limits in the
ε
expansion: A case study of the antiferromagnetic quantum critical metal

- PhysicsPhysical Review B
- 2018

In this work, the quantum field theory that describes non-Fermi liquids realized at antiferromagnetic quantum critical points in space dimensions between two and three has been solved…

Robust quantum transport at particle-hole symmetry

- PhysicsEPL (Europhysics Letters)
- 2021

We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the…

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