| Abstract: | In this talk, I will describe our work studying the critical properties of quantum critical points to high accuracy by using an improved action based on the Renormalization Group. Quantum phase transitions play an important role in many condensed matter systems and their critical properties are predicted to be universal. Corrections to scaling provide a practical challenge in our ability to compute these properties with high accuracy. In the talk, I will present some of the traditional means of deriving improved actions, which reduce corrections to scaling, and explain their limitations. Then, I will describe our method of deriving an improved action by using a Renormalization Group scheme, based on the Tensor Renormalization Group (TRG). Finally, I will present numerical results that demonstrate the effectiveness of our improved action, showing that corrections to scaling are significantly reduced providing us the ability to obtain high-accuracy critical properties. |
