Understanding Strongly Coupling Magnetism from Holographic Duality

Abstract

The unusual magnetic materials are significant in both science and technology. However, because of the strongly correlated effects, it is difficult to understand their novel properties from theoretical aspects. Holographic duality offers a new approach to understanding such systems from gravity side. This paper will give a brief review of our recent works on the applications of holographic duality in understanding unusual magnetic materials. Some quantitative compare between holographic results and experimental data will be shown and some predictions from holographic duality models will be discussed. *

Holographic paramagnetism–ferromagnetism phase transition with the nonlinear electrodynamics

“…Since then, a large number of the holographic dual models have been constructed and some interesting behaviors have been found, for reviews, see Refs. [18][19][20][21][22][23][24][25] and references therein.…”

Holographic paramagnetic-ferromagnetic phase transition with Power-Maxwell electrodynamics

“…This model was extended by introducing two antisymmetric tensor fields which correspond with two magnetic sublattices in the materials [17]. In the framework of usual Maxwell electrodynamics, holographic paramagnetism-ferromagnetism phase transition have been investigated [17][18][19][20][21][22][23][24]. However, it is interesting to investigate the effects of nonlinear electrodynamics on the properties of the holographic paramagnetic-ferromagnetic phase transition.…”

“…[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and reference therein). The studies were also generalized to investigate paramagnetic-ferromagnetic phase transition using the holographic description [33][34][35][36][37][38][39][40][41][42][43]56]. The first holographic paramagnetic-ferromagnetic phase transition model was a dyonic Reissner-Nordstrom-AdS black brane [33].…”

“…It was argued that the spontaneous magnetization which happens in the absence of an external magnetic field, can be realized as the paramagnetic-ferromagnetic phase transition. Most investigations on holographic paramagnetism-ferromagnetism phase transition have been carried out by considering the gauge field as a linear Maxwell field in Einstein gravity [34][35][36][37][38][39][40][41]. It is also of great interest to explore the effects of nonlinear electrodynamics on the properties of the holographic ferromagnetic-paramagnetic phase transition.…”

Holographic superconductor in a deformed four-dimensional STU model

“…In order to have realistic application of holography to superconductivity it is important to shown how to introduce a dynamical (electromagnetic) gauge field in holographic superconductors [25][26][27][28]. In that case unusual magnetic materials with the strongly correlated effects has been studied with the holographic duality [29], while antiferromagnetism [30] as well as paramagnetism [31] quantum phase transition can be considered by using holographic principles. According to the AdS/CFT dictionary, a black hole and charged scalar field are holographic dual of temperature and condensate of a superconductor respectively [7].…”