Dipole coupling effect of holographic fermion in the background of charged Gauss-Bonnet AdS black hole

Kuang, Xiao-Mei; Wang, Bin; Wu, Jian-Pin

doi:10.1007/jhep07(2012)125

Cited by 27 publications

(26 citation statements)

References 86 publications

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“…Obviously, from the right plots in figure 3, the exponent δ of the dispersion relation decreases rapidly as the hyperscaling exponent θ becomes larger due to the decrease the effective dimension of the dual theory, which is consistent with the dependence of dispersion relation on the dimension discussed in [11]. This indicates that with the increase of θ, it shows smaller degree of deviating from the Landau Fermi liquid phase to a non-Fermi liquid phase.…”

Section: Hyperscaling Exponent θ Dependencesupporting

confidence: 80%

“…So larger θ means lower effective dimension which calls for higher Fermi momentum. This dependence of Fermi momentum on the dimension with minimal coupling was first disclosed and understood in [11].…”

Section: Hyperscaling Exponent θ Dependencementioning

confidence: 82%

“…Another interesting result was that as the dipole coupling strength was varied, the fluid possessed Fermi, marginal Fermi, non-Fermi liquid phases and an insulating phase which shared similarities with the Mott insulators including the dynamic formation of a gap and spectral weight transfer. These results had stimulated further studies [9][10][11][12][13][14][15][16] on the behaviour of the dipole coupling. A remarkable property was observed in [17] where it was found that there exists a duality between zeroes and poles in holographic systems with massless fermions and a dipole coupling and this property was also verified in [18].…”

Section: Jhep11(2014)086mentioning

confidence: 99%

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Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

Kuang

Papantonopoulos

Wang

et al. 2014

J. High Energ. Phys.

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We consider a holographic fermionic system in which the fermions are interacting with a U(1) gauge field in the presence of a dilaton field in a gravity bulk of a charged black hole with hyperscaling violation. Using both analytical and numerical methods, we investigate the properties of the infrared and ultaviolet Green's functions of the holographic fermionic system. Studying the spectral functions of the system, we find that as the hyperscaling violation exponent is varied, the fermionic system possesses Fermi, non-Fermi, marginal-Fermi and log-oscillating liquid phases. Various liquid phases of the fermionic system with hyperscaling violation are also generated with the variation of the fermionic mass. We also explore the properties of the flat band and the Fermi surface of the non-relativistic fermionic fixed point dual to the hyperscaling violation gravity.

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Section: Hyperscaling Exponent θ Dependencesupporting

confidence: 80%

Section: Hyperscaling Exponent θ Dependencementioning

confidence: 82%

Section: Jhep11(2014)086mentioning

confidence: 99%

See 1 more Smart Citation

Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

Kuang

Papantonopoulos

Wang

et al. 2014

J. High Energ. Phys.

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“…Further, the fermionic spectrum in presence of dipole coupling term in other background have also been explored in [22][23][24][25][26][27][28][29][30][31]. These studies further confirm that the emergence of Mott gap is robust when the dipole coupling term is introduced.…”

Section: Introductionmentioning

confidence: 56%

Holographic fermionic spectrum from Born–Infeld AdS black hole

2016

Physics Letters B

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In this letter, we systematically explore the holographic (non-)relativistic fermionic spectrum without/with dipole coupling dual to Born-Infeld anti-de Sitter (BI-AdS) black hole. For the relativistic fermionic fixed point, this holographic fermionic system exhibits non-Fermi liquid behavior. Also, with the increase of BI parameter γ, the non-Fermi liquid becomes even "more non-Fermi".When the dipole coupling term is included, we find that the BI term makes it a lot tougher to form the gap. While for the non-relativistic fermionic system with large dipole coupling in BI-AdS background, with the increase of BI parameter, the gap comes into being against.

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“…We systematically studied the excitation spectrum of the boundary theory through numerical integration of (14) with the aforementioned boundary data (16). We fix the boundary dimension to d = 3 and for simplicity set q = M = 1 and m = 0.…”

Section: Gap Formation and Characterizationmentioning

confidence: 99%

Minding the gap in holographic models of interacting fermions

Vanacore

Phillips

2014

Phys. Rev. D

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We study the holographic dual of fermions interacting in a Schwarzschild-AdS d+1 background via a dipole (Pauli) coupling sourced by a probe gauge field. We find quite generally that a gap forms in the dual operator spectrum as the Pauli coupling is strengthened. Previous investigations have observed this behavior in analogous constructions with Reissner-Nordström-AdS (RN-AdS4) backgrounds, but the emergence of log-oscillatory behavior in those models' spectra prevented identification of the underlying gapping mechanism. Our model obviates this issue through its modified geometry and traces the gapping mechanism back to the bulk dynamics. We show in general that there is a duality between zeros for large positive values of the coupling and poles in the spectrum for equivalent couplings but with opposite sign as seen recently in the RN-AdS4 background 1 . The duality arises from the two possible quantizations for computing the retarded propagator. Coupled with the earlier string results 2,3 that Fermi surfaces are generally absent from the spectral function, our finding that the Pauli term engineers the gap suggests that the model examined here offers a way of studying non-perturbative physics in fermionic matter at finite density typified by Mott insulating systems.

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Dipole coupling effect of holographic fermion in the background of charged Gauss-Bonnet AdS black hole

Cited by 27 publications

References 86 publications

Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

Formation of Fermi surfaces and the appearance of liquid phases in holographic theories with hyperscaling violation

Holographic fermionic spectrum from Born–Infeld AdS black hole

Minding the gap in holographic models of interacting fermions

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