Chaos in balanced and unbalanced holographic s+p superconductors

Momeni, Davood; Majd, Nayereh; Mohammadzaheri, Morteza; Channuie, Phongpichit; Ajmi, Mudhahir Al

doi:10.1016/j.rinp.2019.102449

Cited by 3 publications

(6 citation statements)

References 49 publications

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“…One exact solution for the operator is found in Ref. [35]. That solution corresponds to the pure AdS metric written in the null coordinates.…”

Section: The Integral Balance Methods and The Meaning Of αmentioning

confidence: 99%

“…[30][31][32][33][34]. Some new exact solutions for dJT were studied recently in [35] in favor of Maldacena's duality conjecture and boundary Schwarzian theories. In Ref.…”

Section: (): V-volmentioning

confidence: 99%

“…In Ref. [35] we showed that how pure AdS seed metric for pure JT gravity will be deformed in the dJT. In this work we continued our study about dJT.…”

Section: (): V-volmentioning

confidence: 99%

“…Using the above set of the new coordinates T, R, the metric reduces to a conformal flat form after defining a set of the null coordinates U, V adequately(see for example [35]).…”

Section: C(r )mentioning

confidence: 99%

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Real classical geometry with arbitrary deficit parameter(s) $$\alpha (_{I})$$ in deformed Jackiw–Teitelboim gravity

Momeni

2021

Eur. Phys. J. C

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An interesting deformation of Jackiw–Teitelboim (JT) gravity has been proposed by Witten by adding a potential term $$U(\phi )$$ U ( ϕ ) as a self-coupling of the scalar dilaton field. During calculating the path integral over fields, a constraint comes from integration over $$\phi $$ ϕ as $$R(x)+2=2\alpha \delta (\vec {x}-\vec {x}')$$ R ( x ) + 2 = 2 α δ ( x → - x → ′ ) . The resulting Euclidean metric suffered from a conical singularity at $$\vec {x}=\vec {x}'$$ x → = x → ′ . A possible geometry is modeled locally in polar coordinates $$(r,\varphi )$$ ( r , φ ) by $$\mathrm{d}s^2=\mathrm{d}r^2+r^2\mathrm{d}\varphi ^2,\varphi \cong \varphi +2\pi -\alpha $$ d s 2 = d r 2 + r 2 d φ 2 , φ ≅ φ + 2 π - α . In this letter we show that there exists another family of ”exact” geometries for arbitrary values of the $$\alpha $$ α . A pair of exact solutions are found for the case of $$\alpha =0$$ α = 0 . One represents the static patch of the AdS and the other one is the non-static patch of the AdS metric. These solutions were used to construct the Green function for the inhomogeneous model with $$\alpha \ne 0$$ α ≠ 0 . We address a type of phase transition between different patches of the AdS in theory because of the discontinuity in the first derivative of the metric at $$x=x'$$ x = x ′ . We extended the study to the exact space of metrics satisfying the constraint $$R(x)+2=2\sum _{i=1}^{k}\alpha _i\delta ^{(2)}(x-x'_i)$$ R ( x ) + 2 = 2 ∑ i = 1 k α i δ ( 2 ) ( x - x i ′ ) as a modulus diffeomorphisms for an arbitrary set of deficit parameters $$(\alpha _1,\alpha _2,\ldots ,\alpha _k)$$ ( α 1 , α 2 , … , α k ) . The space is the moduli space of Riemann surfaces of genus g with k conical singularities located at $$x'_k$$ x k ′ , denoted by $$\mathcal {M}_{g,k}$$ M g , k .

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“…One exact solution for the operator is found in Ref. [35]. That solution corresponds to the pure AdS metric written in the null coordinates.…”

Section: The Integral Balance Methods and The Meaning Of αmentioning

confidence: 99%

“…[30][31][32][33][34]. Some new exact solutions for dJT were studied recently in [35] in favor of Maldacena's duality conjecture and boundary Schwarzian theories. In Ref.…”

Section: (): V-volmentioning

confidence: 99%

“…In Ref. [35] we showed that how pure AdS seed metric for pure JT gravity will be deformed in the dJT. In this work we continued our study about dJT.…”

Section: (): V-volmentioning

confidence: 99%

“…Using the above set of the new coordinates T, R, the metric reduces to a conformal flat form after defining a set of the null coordinates U, V adequately(see for example [35]).…”

Section: C(r )mentioning

confidence: 99%

See 2 more Smart Citations

Real classical geometry with arbitrary deficit parameter(s) $$\alpha (_{I})$$ in deformed Jackiw–Teitelboim gravity

Momeni

2021

Eur. Phys. J. C

Self Cite

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“…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][34].…”

Section: Introductionmentioning

confidence: 99%

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

Yang,

Xia,

Nie

et al. 2021

Preprint

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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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