Entanglement entropy study for the Half-Filled Extended Hubbard model

The problem of interacting electrons is the modern frontier of condensed matter physics, in which exotic emergent phases combine with analytical intractability to create an exciting arena for discovery and application of new numerical methods. In this talk, we present new results from the application of quantum information theory to the precise identification of the phase boundaries for Bond-Order-Wave ordering in the 1-D Extended Hubbard model. In particular, we show that for this canonical model of long-range electron interactions, a new, simple scaling method enables the precise extraction of critical points for both 2nd order and BKT universality class quantum phase transitions. This method requires nothing besides the ground-state wavefunction and John Cardy's formula for the entanglement entropy at conformally-invariant critical points.