The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model

TL;DR

This paper presents an exactly solvable model in dual gravity that reveals the emergence of a topological liquid and strange metal phase near a quantum critical point, highlighting topologically protected modes and T-linear resistivity.

Contribution

It introduces a new solvable model linking quantum criticality, topological protection, and strange metal behavior in a gravity dual framework.

Findings

Topologically protected fermion zero mode at the metal-insulator transition

Emergence of T-linear resistivity in the strange metal phase

Phase boundaries characterized by density of states analysis

Abstract

We discuss quantum phase transition by an exactly solvable model in the dual gravity setup. By considering the effect of the scalar condensation on the fermion spectrum near the quantum critical point(QCP), we find that there is a topologically protected fermion zero mode associated with the metal to insulator transition. We also show that the strange metal phase with T-linear resistivity emerges at high enough temperature as far as the gravity has a horizon. The phase boundaries are calculated according to the density of states, giving insights on structures of the phase diagram near the QCP.