Recent experiments on Bernal bilayer graphene in a finite displacement field discovered a cascade of phase transitions into ordered states at small but finite doping. I will discuss four possible orders, which involve spin and valley degrees of freedom, and analyze superconductivity near each of these ordered states. I will argue that near some of these ordered states, the pairing...
Diverging density of states can lead to correlated phases in low dimensional systems. This includes the graphene family that hosts electric-field controlled Lifshitz transitions and concomitant van Hove singularities in the density of states. Here, we present the observation of experimental signatures consistent with various interaction-driven phases in hole-doped Bernal bilayer graphene...
UTe$_2$ exhibits a variety of intriguing properties including field-induced reentrance of superconductivity. In the first part of the talk, we will suggest that the reentrance can be accounted for by invoking multiple superconducting phases, for which there is considerable recent experimental evidence. In the second part of the talk, we will describe candidate superconducting order...
Motivated by the recent experimental results on the quantum critical transport properties of iron-based superconductors, we investigate the effects of quantum fluctuations on the conductivity of multiband metals near the superconducting quantum critical point (QCP). We consider a minimal model with two nested two-dimensional Fermi surfaces and disorder potentials which include both intra- and...
