Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions

TL;DR

This paper provides a non-perturbative solution for the antiferromagnetic quantum critical metal in two dimensions, predicting exact critical exponents that describe universal low-temperature behavior.

Contribution

It introduces a novel non-perturbative method to solve the strongly coupled low-energy theory of 2D antiferromagnetic quantum critical metals, enabling precise exponent calculation.

Findings

Exact critical exponents for the quantum critical point.

Reliable low-energy solution for strongly coupled theory.

Universal scaling laws for physical observables.

Abstract

Unconventional metallic states which do not support well defined single-particle excitations can arise near quantum phase transitions as strong quantum fluctuations of incipient order parameters prevent electrons from forming coherent quasiparticles. Although antiferromagnetic phase transitions occur commonly in correlated metals, understanding the nature of the strange metal realized at the critical point in layered systems has been hampered by a lack of reliable theoretical methods that take into account strong quantum fluctuations. We present a non-perturbative solution to the low-energy theory for the antiferromagnetic quantum critical metal in two spatial dimensions. Being a strongly coupled theory, it can still be solved reliably in the low-energy limit as quantum fluctuations are organized by a new control parameter that emerges dynamically. We predict the exact critical exponents that govern the universal scaling of physical observables at low temperatures.