Metal-Insulator Transition by Holographic Charge Density Waves

Building on [1], we examine a holographic model in which a U(1) symmetry and translational invariance are broken spontaneously at the same time. The symmetry breaking is realized through the Stückelberg mechanism, and leads to a scalar condensate and a charge density which are spatially modulated and exhibit unidirectional stripe order. Depending on the choice of parameters, the oscillations of the scalar condensate can average out to zero, with a frequency which is half of that of the charge density. In this case the system realizes some of the key features of pair density wave order. The model also admits a phase with co-existing superconducting and charge density wave orders, in which the scalar condensate has a uniform component. In our construction the various orders are intertwined with each other and have a common origin. The fully backreacted geometry is computed numerically, including for the case in which the theory contains axions. The latter can be added to explicitly break translational symmetry and mimic lattice-type effects.

Section: Jhep08(2017)081mentioning

confidence: 99%

Intertwined orders in holography: pair and charge density waves

Cremonini

Ren

2017

“…Recently there has been progress in simulating metalinsulator transitions in holographic systems in (2+1)-dimension [13][14][15][16]. Recall that the radial direction of an asymptotically Anti de-Sitter (AdS) spacetime can be understood as a geometrization of the renormalization group (RG) flow for the dual field theory.…”

Section: The Holographic Setup and Phase Diagrammentioning

confidence: 99%

Holographic entanglement entropy close to quantum phase transitions

Ling

Liu

Niu

et al. 2016

Self Cite

Abstract:We investigate the holographic entanglement entropy (HEE) of a strip geometry in four dimensional Q-lattice backgrounds, which exhibit metal-insulator transitions in the dual field theory. Remarkably, we find that the HEE always displays a peak in the vicinity of the quantum critical points. Our model provides the first direct evidence that the HEE can be used to characterize the quantum phase transition (QPT). We also conjecture that the maximization behavior of HEE at quantum critical points would be universal in general holographic models.

“…have been numerically constructed in [73][74][75][76][77][78] by solving a nonlinear system of partial differential equations (PDEs). In most cases that have been studied, there is a second order phase transition to the striped solution.…”

Section: Jhep01(2016)147mentioning

confidence: 99%

Holographic competition of phases and superconductivity

Kiritsis

2016

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.