Dynamically Generated Mott Gap from Holography

Edalati, Mohammad; Leigh, Robert G.; Phillips, Philip

doi:10.1103/physrevlett.106.091602

Cited by 88 publications

(150 citation statements)

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“…We investigate the existence of Fermi surfaces as the dipole coupling p is varied. For the range of parameters considered in this paper, we find that there is no Fermi surface above a certain value of p. This is the range of parameters considered in [19], where the boundary theory exhibits two main features of Mott insulators, a dynamically generated gap (in the absence of continuous symmetry breaking) and spectral weight transfer. In addition, for the values of the dipole coupling p for which there is a Fermi surface in the boundary theory, we find that at a critical value of this coupling, marginal-Fermi liquid behavior ensues.…”

Section: Introductionmentioning

confidence: 84%

“…Motivated by these studies, we considered in [19] a generic non-minimal fermion coupling in which a spin-1/2 fermion couples to the gauge field through a dipole (Pauli) interaction of the form F abψ Γ ab ψ. In fact, we just considered the simplest possible setup, in which a spin-1/2 fermion propagates in the background of a ReissnerNordström AdS d+1 black hole.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical gap and cupratelike physics from holography

et al. 2011

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We study the properties of fermion correlators in a boundary theory dual to the ReissnerNordström AdS d+1 background in the presence of a bulk dipole (Pauli) interaction term with strength p. We show that by simply changing the value of the parameter p we can tune continuously from a Fermi liquid (small p), to a marginal Fermi liquid behavior at a critical value of p, to a generic non-Fermi liquid at intermediate values of p, and finally to a Mott insulator at large values of the bulk Pauli coupling. As all of these phases are seen in the cuprate phase diagram, the holographic model we study has the key elements of the strong coupling physics typified by Mott systems. In addition, we extend our analysis to finite temperature and show that the Mott gap closes. Of particular interest is that it closes when the ratio of the gap to the critical temperature is of the order of ten. This behavior is very much similar to that observed in the classic Mott insulator VO2. We then analyze the non-analyticities of the boundary theory fermion correlators for generic values of frequency and momentum by calculating the quasi-normal modes of the bulk fermions. Not surprisingly, we find no evidence for the dipole interaction inducing an instability in the boundary theory. Finally, we briefly consider the introduction of superconducting condensates, and find that in that case, the fermion gap is driven by scalar-fermion couplings rather than by the Pauli coupling.

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Section: Introductionmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Dynamical gap and cupratelike physics from holography

et al. 2011

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“…First, besides going beyond the massless case and heating up the dual soup to the finite temperature, it is interesting to investigate the probe fermion in other desirable dilatonic black holes such as those obtained in [22,23], where the near horizon geometry has a favorable Lifshitz symmetry. In addition, as done in [24,25,26,27,28], one is also tempted to investigate how the fermionic correlator is modified in the presence of the bulk dipole coupling. Last but not least, the universal low energy behavior we have found in this paper, especially irrespective of the specific value of charge parameter, begs a better understanding.…”

Section: Discussionmentioning

confidence: 99%

Holographic non-relativistic fermionic fixed point by the charged dilatonic black hole

Meyer

Zhang

2012

J. High Energ. Phys.

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Driven by the landscape of garden-variety condensed matter systems, we have investigated how the dual spectral function behaves at the non-relativistic as well as relativistic fermionic fixed point by considering the probe Dirac fermion in an extremal charged dilatonic black hole with zero entropy. Although the pattern for both of the appearance of flat band and emergence of Fermi surface is qualitatively similar to that given by the probe fermion in the extremal Reissner-Nordstrom AdS black hole, we find a distinctly different low energy behavior around the Fermi surface, which can be traced back to the different near horizon geometry. In particular, with the peculiar near horizon geometry of our extremal charged dilatonic black hole, the low energy behavior exhibits the universal linear dispersion relation and scaling property, where the former indicates that the dual liquid is a Fermi one while the latter implies that the dual liquid is not exactly of Landau Fermi type.

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“…In this direction and in an attempt to describe the various phases of a metallic state at low temperatures, a dipole coupling to massless charged fermions was introduced [7,8]. Then by studying the modified Dirac equation, it was found that the boundary fermionic propagator produces a spectrum which has vanishing spectral weight at a range of energies around ω = 0 without the breaking of any symmetry.…”

Section: Jhep11(2014)086mentioning

confidence: 99%

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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Dynamically Generated Mott Gap from Holography

Cited by 88 publications

References 25 publications

Dynamical gap and cupratelike physics from holography

Dynamical gap and cupratelike physics from holography

Holographic non-relativistic fermionic fixed point by the charged dilatonic black hole

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

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