Simulatable models of nodal superconductivity and Kondo breakdown

Abstract

The fermion sign problem often stymies exploration of strongly correlated quantum systems. Recently, new ideas have emerged on how to construct "designer Hamiltonians" which do not suffer from the sign problem, while still hosting highly entangled phases of matter.  

In this talk, I will present results on two new directions: (a) A model of competing antiferromagnetism and nodal d-wave superconductivity. (b) Models of non-Fermi liquids in Kondo lattice systems. The corresponding phase diagrams also host interesting critical phenomena, and I will also discuss field-theory approaches to understand the associated universal properties, along with the relevance to experiments. Time permitting, I will discuss new entanglement based approaches to characterize non-Fermi liquids that arise in the context of frustrated heavy fermion systems.