Holographic superconductor induced by charge density waves

Holographic striped superconductor

“…In current paper we will obtain a different kind of CDW in contrast to the CDW constructed in ref. [31], and demonstrate that the CDW exhibits a quite different relationship with SC. More explicitly, we find that in the presence of free charges, only the even orders of the Fourier modes exist in the expansion of the charge density, while in ref.…”

“…We remark that the holographic model considered in this paper is different from what has previously been studied in refs. [24,31], where a coupling term between gauge field A and B, namely γΦF G, is introduced into the action such that the dome of the unstable region could shift to a position with non-zero k c . This coupling term is harmless there since the gauge field B is turned off, such that the order parameter of translational symmetry, namely the dilaton field Φ, always has a zero solution before the translational symmetry breaking.…”

“…Nevertheless, the main motivation of the current paper comes from our recent work in ref. [31], in which we have successfully constructed a holographic model demonstrating that the superconductivity can be induced by CDW solely. To achieve this, one needs to separate the CDW from free charges such that the electric chemical potential is set to zero.…”

“…More explicitly, we find that in the presence of free charges, only the even orders of the Fourier modes exist in the expansion of the charge density, while in ref. [31] only the odd orders exist. Based on the results obtained in this paper and those in ref.…”

“…Based on the results obtained in this paper and those in ref. [31], we intend to conjecture that the complicated relationship between CDW and SC observed in experiments would be the combinational effects of these two different kinds of CDWs.…”