Mott Transition in the Quasi-One Dimensional Hubbard Model

The advent of high performance computing and the development of sophisticated numerical techniques have opened new vistas for researchers in condensed matter physics. Exciting predictions of new quantum phases of matter in model systems can often be substantiated or falsified by numerical methods. In this talk, I will present recent development in applying the celebrated density-matrix renormalization–group method to quasi-one dimensional systems. I will show the power of this technique by computing, with high accuracy, critical points in quantum phase transitions induced by small inter-chain interactions. I show that this technique can accurately compute the critical exponent n of the correlation length in the Mott transition. The computed value of n suggest, in agreement with recent slave-rotor speculation, that the Mott transition belongs to the universality class of the classical 3D XY model.