Impurity Effect on Hysteric Magnetoconductance: Holographic Approach

TL;DR

This paper explores a hysteric phase transition in magnetoconductance using holographic duality, revealing impurity effects on magnetic properties and phase behavior in a 2+1D system.

Contribution

It introduces a holographic model for hysteric magnetoconductance transitions influenced by impurity parameters and spontaneous magnetization.

Findings

Hysteric phase transition triggered by spontaneous magnetization.

Impurity parameter enhances magnetic susceptibility.

Hysteresis observed in Seebeck coefficient and Nernst signal.

Abstract

In this paper we study a hysteric phase transition from weak localization phase to hysteric magnetoconductance phase using gauge/gravity duality. This hysteric phase is triggered by a spontaneous magnetization related to Z2 symmetry and time reversal symmetry in a 2+1 dimensional system with momentum relaxation. We derive thermoelectric conductivity formulas describing non-hysteric and hysteric phases. At low temperatures, this magneto-conductance shows similar phase transitions of topological insulator surface states. We also obtain hysteresis curves of Seebeck coefficient and Nernst signal. It turns out that our impurity parameter changes magnetic properties of the dual system. This is justified by showing increasing susceptibility and the spontaneous magnetization with increasing impurity parameter.