Holographic p-wave superconductors with momentum relaxation

Lu, Jun-Wang; Wu, Yabo; Li, Huai-Fan; Dong, Bao-Ping; Zheng, Yong; Liao, Hao

doi:10.1016/j.physletb.2021.136448

Cited by 4 publications

(4 citation statements)

References 27 publications

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“…In the new holographic p-wave model [9], the authors using charged complex vectors, which are also known as Proca fields, to extend the holographic p-wave superfluid model to more general values of the charge and the mass parameters. Therefore a lot of study emerge to consider the more general p-wave superfluid in various setups [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Further investigations also involve in both the s-wave and p-wave orders together to study the competition and coexistence between the two different orders in holography [24][25][26][27][28][29][30][31][32][33]36].…”

Section: Introductionmentioning

confidence: 99%

H − T phase diagrams of a holographic p-wave superfluid

Yang

Xia

Nie

et al. 2022

J. High Energ. Phys.

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We study the competition between the p-wave and the p+ip superfluid solutions in a holographic model with applied magnetic field intensity H. We find that when H is turned on, both the grand potential and the critical temperature of the p+ip solution are shifted, while the p-wave solution is only slightly affected. Combining the effect of H and back reaction parameter b, we build H − T phase diagrams with a slit region of p+ip phase. The zero (or finite) value of H at the starting point of the slit region is related to second (or first) order of the p-wave phase transition at zero magnetic intensity, which should be universal in systems with degenerate critical points (spinodal points) at zero magnetic field.

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Section: Introductionmentioning

confidence: 99%

H − T phase diagrams of a holographic p-wave superfluid

Yang

Xia

Nie

et al. 2022

J. High Energ. Phys.

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show abstract

“…Although the original model [5] allowed to estimate the gap and the critical temperature of conductivity of isotropic system, typical high T c superconductors show the momentum dependent gap structure ∆ k [8,9,11] which has been considered as one of the most important finger prints of high T c superconductors. To address p-wave superconductors, Gubser [23] first introduced the non-Abelian gauge field for holographic superconductor model, which is followed by many investigations on p-wave [24]- [32] or d-wave [33]- [39] holographic superconductors using abelian vector and tensor fields. However, to our surprise, none of the investigations addressed the momentum k dependence of the superconducting gap, because in all the previous works, non-vanishing components of vector A ν or tensors B µν were assumed to be isotropic.…”

Section: Introductionmentioning

confidence: 99%

Momentum dependent gap in holographic superconductors revisited

Ghorai,

Choun,

Sin

2022

Preprint

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We reconsider the angular dependence in gap structure of holographic superconductors, which has not been treated carefully so far. For the vector field model, we show that the normalizable ground state is in the p-wave state because s-wave state is not normalizable. On the other hand, in the scalar order model, the ground state is in the s-wave. The angle dependent gap function is explicitly constructed in these models.We also suggest the modified ansatz of the vector order which enables to discuss the order p x ± ip y gap, which has not been possible so far. We have also analytically investigated the critical temperature and the behavior of the gap near there. Interestingly, for the fixed conformal dimension of the Cooper pair operator, the critical temperature in vector model is higher than that of the scalar model.

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“…Although the original model [5] allowed to estimate the gap and the critical temperature of conductivity of isotropic system, typical high T c superconductors show the momentum dependent gap structure ∆ k [8,9,11] which has been considered as one of the most important finger prints of high T c superconductors. To address p-wave superconductors, Gubser [23] first introduced the non-Abelian gauge field for holographic superconductor model, which is followed by many investigations on p-wave [24][25][26][27][28][29][30][31][32][33][34][35] or d-wave [36][37][38][39][40][41][42] holographic superconductors using abelian vector and tensor fields. However, to our surprise, none of the investigations addressed the momentum k dependence of the superconducting gap, because in all the previous works, non-vanishing components of vector A ν or tensors B µν were assumed to be isotropic.…”

Section: Introductionmentioning

confidence: 99%

Momentum dependent gap in holographic superconductors revisited

Ghorai

Choun

Sin

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We reconsider the angular dependence in gap structure of holographic superconductors, which has not been treated carefully so far. For the vector field model, we show that the normalizable ground state is in the p-wave state because s-wave state is not normalizable. On the other hand, in the scalar order model, the ground state is in the s-wave. The angle dependent gap function is explicitly constructed in these models. We also suggest the modified ansatz of the vector order which enables to discuss the order px ± ipy gap. We have also analytically investigated the critical temperature and the behavior of the gap near there. Interestingly, for the fixed conformal dimension of the Cooper pair operator, the critical temperature in vector model is higher than that of the scalar model.

show abstract

Holographic p-wave superconductors with momentum relaxation

Cited by 4 publications

References 27 publications

H − T phase diagrams of a holographic p-wave superfluid

H − T phase diagrams of a holographic p-wave superfluid

Momentum dependent gap in holographic superconductors revisited

Momentum dependent gap in holographic superconductors revisited

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