Fermions at finite density in the nonrelativistic gauge/gravity duality

Abstract

The AdS/CFT correspondence has provided a new tool to investigate strongly correlated systems in condensed matter physics. This thesis presents the computation of retarded fermion Green functions at finite density and zero temperature in the nonrelativistic gauge/gravity duality. We find evidence of Fermi surfaces and investigate their properties. We show that the near-horizon scaling dimension, an important quantity that controls the low-energy excitations of the theory, depends on the momentum along the "extra" direction in nonrelativistic gauge/gravity duality.