Two-Dimensional Mott Transition and Integrable Lattice Models

FEDERICO L BOTTESI , GUILLERMO R ZEMBA

Florencia, Italia

Conferencia; Conformal Field Theories and Renormalization Group Flows in Dimensions d>2; 2016

Galileo Galilei Institute for Theoretical Physics

We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions by applying the recent solution to the Zamolodchikov tetrahedron equation for this model. This equation extends the notion of integrability from one to two-dimensional lattice systems.  At the Mott transition, we find that  the system is in a $d$-density wave or staggered flux phase that can be described by a double Chern Simons effective theory with symmetry  $su2 otimes su2$.The nature of the Mott transition is topological, and is characterized by the emergence of vortices in antiferromagnetic arrays interacting strongly with the electric chargesand by an electric-magnetic duality.We also analyze the effect of small doping on this system and show that it  leads to a quantum gas-liquid coexistence phase, which belongs to the Ising universality classand which is consistent with several experimental observations.