This series consists of talks in the area of Condensed Matter.
In this talk, I will discuss about examples of non-Fermi liquids which can be understood in controlled manners. The first example is based on a dimensional regularization scheme, where the co-dimension of Fermi surface is extended such that the Yukawa coupling between a critical boson and Fermi surface is stabilized at a finite but small value. If time permits, I will also discuss about chiral non-Fermi liquid states in two space dimensions, which can be realized on the surfaces of stacks of quantum Hall layers.
The stability of
topological insulators under electronic correlation has been an elusive yet
central topic. In this talk, we will discuss the correlation effects in the two
descendants of the Kane-Mele-Hubbard model, called generalized
Kane-Mele-Hubbard model and dimerized Kane-Mele-Hubbard model, by means of the
sign-free Quantum Monte Carlo (QMC) method. In the non-interacting limit, both
systems undergo topological phase transitions by tuning tight-binding (one-body)