Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 83, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-023-11918-9
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We have created a holographic superfluid that exhibits different behaviors depending on the positive or negative gauge-axion coupling, such as metallic or insulating behavior in the normal state. The system also displays a mid-IR peak in the AC conductivity due to the competition between explicit and spontaneous symmetry breaking, leading to the presence of a pseudo-Goldstone mode. Additionally, the AC conductivity shows a dip at low frequencies, resulting from the excitation of the spontaneous symmetry breaking Goldstone mode.
We have constructed a holographic superfluid with gauge-axion coupling. Depending on whether the coupling is positive or negative, the system displays metallic or insulating behavior in its normal state. A significant feature of the system is the appearance of a mid-IR peak in the alternating current (AC) conductivity in a certain range of parameters. This peak arises due to competition between explicit symmetry breaking (ESB) and spontaneous symmetry breaking (SSB), which results in the presence of a pseudo-Goldstone mode. Moreover, a dip in low-frequency AC conductivity is observed, stemming from the excitation of the SSB Goldstone mode. In the superfluid phase, the effect of gauge-axion coupling on the condensation or superfluid energy gap is only amplified in the presence of strong momentum dissipation. Notably, for the case with negative gauge-axion coupling, a hard-gap-like behavior at low frequency and a pronounced peak at intermediate frequency are observed, indicating that the evolution of the superfluid component is distinct from that of positive coupling.
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