PIRSA:14020143

# Are non-Fermi-liquids stable to pairing?

### APA

Metlitski, M. (2014). Are non-Fermi-liquids stable to pairing?. Perimeter Institute. https://pirsa.org/14020143

### MLA

Metlitski, Max. Are non-Fermi-liquids stable to pairing?. Perimeter Institute, Feb. 13, 2014, https://pirsa.org/14020143

### BibTex

@misc{ pirsa_PIRSA:14020143, doi = {10.48660/14020143}, url = {https://pirsa.org/14020143}, author = {Metlitski, Max}, keywords = {}, language = {en}, title = {Are non-Fermi-liquids stable to pairing?}, publisher = {Perimeter Institute}, year = {2014}, month = {feb}, note = {PIRSA:14020143 see, \url{https://pirsa.org}} }

Max Metlitski Massachusetts Institute of Technology (MIT) - Department of Physics

**Collection**

**Talk Type**Conference

## Abstract

States of matter with a sharp Fermi-surface but no well-defined Landauquasiparticles are expected to arise in a number of physical systems.

Examples include i) quantum critical points associated with the onset

of order in metals, ii) the spinon Fermi-surface (U(1) spin-liquid)

state of a Mott insulator and iii) the Halperin-Lee-Read composite

fermion charge liquid state of a half-filled Landau level. In this

talk, I will use renormalization group techniques to investigate

possible instabilities of such non-Fermi-liquids to pairing. I will

show that for a large class of phase transitions in metals, the

attractive interaction mediated by order parameter fluctuations always

leads to a superconducting instability, which preempts the

non-Fermi-liquid effects. On the other hand, the spinon Fermi-surface

and the Halperin-Lee-Read states are stable against pairing for a

sufficiently weak attractive short-range interaction. However, once

the strength of attraction exceeds a critical value, pairing sets in.

I will describe the ensuing quantum phase transition between i) the

U(1) and the Z_2 spin-liquid states, and ii) the Halperin-Lee-Read and

Moore-Read states.