https://doi.org/10.1140/epjc/s10052-022-10416-8
Regular Article - Theoretical Physics
Alternating current conductivity and superconducting properties of a holographic effective model with broken translations
1
Department of Physics, College of Sciences, Northeastern University, 110819, Shenyang, China
2
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
3
Frontiers Science Center for Industrial Intelligence and Systems Optimization, Northeastern University, 110819, Shenyang, China
4
Key Laboratory of Data Analytics and Optimization for Smart Industry (Northeastern University), Ministry of Education, 110819, Shenyang, China
Received:
26
January
2022
Accepted:
9
May
2022
Published online:
24
May
2022
We construct a holographic effective superconducting theory by considering a special gauge-axion coupling. In the normal state, we observe that a peak emerges in the mid-IR in the AC conductivity for certain strength of broken translations and the gauge-axion coupling. It is attributed to the emergence of pseudo-Goldstone mode due to the competition of spontaneous symmetry breaking (SSB) and the explicit symmetry breaking (ESB). However, when the ESB dominates over the SSB, the peak disappears. In the superconducting phase, this gauge-axion coupling also plays a key role leading to a more evident gap at the low frequency conductivity. In addition, we also study the combined effects of the strength of broken translations and various couplings among the gauge field, axion fields and the complex scalar field.
© The Author(s) 2022
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