Holographic Stripes

We use a holographic theory to model and study the competition of four phases: an antiferromagnetic phase, a superconducting phase, a metallic phase and a striped phase, using as control parameters temperature and a doping-like parameter. We analyse the various instabilities and determine the possible phases. One class of phase diagrams, that we analyse in detail, is similar to that of high-temperature superconductors as well as other strange metal materials.

Section: Jhep01(2016)147mentioning

confidence: 99%

Holographic competition of phases and superconductivity

Kiritsis

2016

“…For that purpose, we start with 5d type VII 0 case. See for examples of the other constructions of "striped" phases in the literature [31][32][33][34][35][36].…”

Section: Jhep03(2013)126mentioning

confidence: 99%

“…There have been interesting holographic studies of some such spatially modulated phases -notably, studies of emergent helical order [22][23][24][25][26][27][28][29][30], stripe order [31][32][33][34][35][36], and more elaborate orders [37][38][39][40]. One largely open problem is to give simple analytical examples of phases realizing or even combining the various properties mentioned above (e.g.…”

Section: Introductionmentioning

confidence: 99%

Extremal horizons with reduced symmetry: hyperscaling violation, stripes, and a classification for the homogeneous case

Iizuka

Kachru

Kundu

et al. 2013

Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with anti-de Sitter asymptotics. In a recent paper [1], we proposed a Bianchi classification of the extremal nearhorizon geometries in five dimensions, in the case where they are homogeneous but, in general, anisotropic. Here, we extend our study in two directions: we show that Bianchi attractors can lead to new phases, and generalize the classification of homogeneous phases in a way suggested by holography. In the first direction, we show that hyperscaling violation can naturally be incorporated into the Bianchi horizons. We also find analytical examples of "striped" horizons. In the second direction, we propose a more complete classification of homogeneous horizon geometries where the natural mathematics involves real four-algebras with three dimensional sub-algebras. This gives rise to a richer set of possible near-horizon geometries, where the holographic radial direction is non-trivially intertwined with field theory spatial coordinates. We find examples of several of the new types in systems consisting of reasonably simple matter sectors coupled to gravity, while arguing that others are forbidden by the Null Energy Condition. Extremal horizons in four dimensions governed by three-algebras or four-algebras are also discussed.

“…And these terms are proportional to the spatial momentum of the corresponding modes. This observation motivated our earlier study of the possible spatially modulated instabilities of the condensed phase in the spirit of [21][22][23][24][25]. The mixing terms proportional to momentum are responsible to the spontaneous translational symmetry breaking in these models.…”

Section: Holographic Model Of D-wave Superconductormentioning

confidence: 61%

Phases of holographic d-wave superconductor

Krikun

2015

Abstract:We study different phases in the holographic model of d-wave superconductor. These are described by solutions to the classical equations of motion found in different ansatze. Apart from the known homogeneous d-wave superconducting phase we find three new solutions. Two of them represent two distinct families of the spatially modulated solutions, which realize the charge density wave phases in the dual theory. The third one is the new homogeneous phase with nonzero anapole moment. These phases are relevant to the physics of cuprate high-Tc superconductor in pseudogap region.While the d-wave phase preserves translation, parity and time reversal symmetry, the striped phases break translations spontaneously. Parity and time-reversal are preserved when combined with discrete half-periodic shift of the wave. In anapole phase translation symmetry is preserved, but parity and time reversal are spontaneously broken. All of the considered solutions break the global U(1).Thermodynamical treatment shows that in the simplest d-wave model the anapole phase is always preferred, while the stripe phases realize the continuous transition in solution space between the normal phase and two homogeneous condensed phases.