Abstract
We study the conductivity from higher derivative electrodynamics in a holographic quantum critical phase (QCP). Two key features of this model are observed. First, a rescaling for the Euclidean frequency by a constant is needed when fitting the quantum Monte Carlo (QMC) data for the O(2) QCP. We conclude that it is a common characteristic of the higher derivative electrodynamics. Second, both the Drude-like peak at low frequency and the pronounced peak can simultaneously emerge. They are more evident for the relevant operators than for the irrelevant operators. In addition, our result also further confirms that the conductivity for the O(2) QCP is particle-like but not vortex-like. Finally, the electromagnetic (EM) duality is briefly discussed. The largest discrepancies of the particle–vortex duality in the boundary theory appear at the low frequency and the particle–vortex duality holds more well for the irrelevant operator than for the relevant operator.
Highlights
Quantum critical (QC) system, which includes quantum critical phase transition (QCPT) and quantum critical phase (QCP), is a long-standing important issue in condensed matter physics [1]
Here we extend the studies in [11, 12] to include a higher derivative term by incorporating a interaction between gauge field and Weyl tensor and explore the generic and special properties of the holographic QC dynamics
We mainly study the properties of the conductivity from higher derivative electrodynamics in the holographic framework described in the last section
Summary
Quantum critical (QC) system, which includes quantum critical phase transition (QCPT) and quantum critical phase (QCP), is a long-standing important issue in condensed matter physics [1]. Some of the best understood examples are described by strongly interacting conformal field theory (CFT) at low energy. References [7,8,9] construct holographic models based on the Maxwell-Weyl system in Schwarzschild-AdS (SSAdS) to study QC physics, in particular the dynamical conductivity σ(ω). The scalar field in the bulk introduced in [7], which is dual to the relevant operator in the boundary field theory, is not a dynamical field To overcome this shortcoming, references [11, 12] construct a novel neutral scalar hair black brane by coupling Weyl tensor with neutral scalar field, which provides a framework to describe QC dynamics and the one away from QCP. Here we extend the studies in [11, 12] to include a higher derivative term by incorporating a interaction between gauge field and Weyl tensor and explore the generic and special properties of the holographic QC dynamics
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