Holographic antiferromagnetic quantum criticality andAdS2scaling limit

Abstract

A holographic description on the antiferromagnetic quantum phase transition (QPT) induced by the magnetic field and the criticality in the vicinity of the quantum critical point have been investigated numerically recently. In this paper, we show that the properties of QPT in this holographic model are governed by a CFT dual to the emergent AdS 2 in the IR region, which confirms that the dual boundary theory is a strong coupling theory with dynamic exponent z ¼ 2 and logarithmic corrections appearing. We also compare them with the results from the Hertz model by solving the RG equation at its upper critical dimension and with some experimental data from pyrochlores Er 2−2x Y 2x Ti 2 O 7 and BiCoPO 5 .

Insulator/metal phase transition and colossal magnetoresistance in holographic model

“…[10]. Very recently, the present authors and their collaborators have realized the paramagnetism/ferromagnetism and paramagnetism/antiferromagnetism phase transitions in holographic models by introducing a massive 2-form field in an AdS black brane background and some interesting magnetic properties of the models have been investigated in a series of papers [11][12][13][14][15][16][17]. In this Letter, we will provide a new application of the holographic AdS/CFT correspondence by implementing the metal/insulator phase transition and the colossal magnetoresistance (CMR) effect found in some manganese oxides materials in a holographic model .…”

Understanding Strongly Coupling Magnetism from Holographic Duality

“…where T N = T N /T N 0 , k B is Boltzmann constant and C is a constant. These scaling relations can be analytically presented by considering the emergent geometry AdS 2 in the IR limit [41]. The first one has been measured in (Er 1−x Y x ) 2 Ti 2 O 7 (see the right panel of…”

Building magnetic hysteresis in holography

“…As a preliminary study toward ferromagnetism, we will consider a simple model to build spontaneous magnetization and the hysteresis curve using gauge/gravity duality [1,2] . In earlier studies, magnetized systems have already attracted much attention and have been studied numerous times in the holographic approach, e.g, [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18].…”