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In this letter, we investigate the holographic fermionic spectrum without/with dipole coupling dual to the Reissner–Nordström anti-de Sitter (RN–AdS) black brane surrounded by quintessence. We find that the low energy excitation of this fermionic system without dipole coupling behaves as a non-Fermi liquid. In particular, the introduction of quintessence aggravates the degree of deviation from a Fermi liquid. For the system with dipole coupling, the phase transition from (non-)Fermi liquid to Mott phase can be observed. The ratio between the width of gap and the critical temperature, beyond which the gap closes, is also worked out. We find that this ratio is larger than that of the holographic fermionic system dual to the RN–AdS black brane and even the material of \(VO_2\). It means that our holographic system with quintessence can model new phenomena of the condensed matter system and provide some new insights in their regard.

Effect of quintessence on holographic fermionic spectrum