A Holographic Model for Quantum Critical Responses

Understand

We analyze the dynamical response functions of strongly interacting quantum critical states described by conformal field theories (CFTs).

• We construct a self-consistent holographic model that incorporates the relevant scalar operator driving the quantum critical phase transition.
• Focusing on the finite temperature dynamical conductivity $\sigma(\omega,T)$, we study its dependence on our model parameters, notably the scaling dimension of the relevant operator.
• It is found that the conductivity is well-approximated by a simple ansatz proposed by Katz et al [1] for a wide range of parameters.