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

Sung-Sik Lee

Perimeter Institute

Although antiferromagnetic phase transitions are rather common in correlated metals, the nature of the strange metal realized at the quantum critical point in layered systems has not been well understood so far due to a lack of reliable theoretical methods that take into account strong quantum fluctuations. In this talk, I will discuss 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. If time permits, other examples of non-Fermi liquids understood in controlled manners will be briefly discussed as well.